Mathematics High School

Complete the identity

Answers

Answer 1

The identity cos²θ/2 is (1 + cosθ)/2

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We can use the half-angle identity for the cosine function to solve this problem:

cos²θ/2 = (1 + cosθ)/2

Therefore, to find cos²θ/2 , we need to know the value of cosθ.

If the value of cosθ is known, we can substitute it into the half-angle identity to find cos²θ/2

Hence, the identity cos²θ/2 is (1 + cosθ)/2

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Related Questions

Which inequality is true when the value of x is -3?
-x+6.5 < 1
-x+6.5 < -1
x + 6.5 < -1
-x+6.5 > 1

Answers

Answer:

-x + 6.5 > 1 Is true.

Step-by-step explanation:

The explaination is given in the Picture.

Plug in -3 for x

Equation:

-3+6.5>1

Solve

3.5> 1

Check if the inequality it true or false

Since it’s true

Solution

Option D is correct

As an object moves along the 14.0 mm axis from x=0.0m�=0.0m to x� = 14.0 mm it is acted upon by a force given by F=(140−(x−7.0)2)N�=(140−(�−7.0)2)N.
Determine the work done by the force on the object by evaluating the integral ∫x=14.0mx=0.0mFdx∫�=0.0m�=14.0m��.
Express your answer to two significant figures and include the appropriate units.
Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type
W� =
nothingnothing

Answers

The work done by the force on the object is W∈ = -2.20 x 104 Nm.

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We use the factor theorem, which states that if k is a root of the polynomial equation In our problem, we hawe P(2)=0 and P(-3)-0, Thus, x-2 and x+3 are both fact,

Answers

We can write P(x) as P(x) = (x - 2)(x + 3)Q(x), where Q(x) is another polynomial.

This is the factored form of P(x), and it can be used to find other roots or to simplify the polynomial equation.

The factor theorem is a useful tool in finding the factors of a polynomial equation. The theorem states that if k is a root of the polynomial equation P(x) = 0, then x - k is a factor of P(x).

In our problem, we have P(2) = 0 and P(-3) = 0. This means that 2 and -3 are both roots of the polynomial equation P(x) = 0. According to the factor theorem, this means that x - 2 and x + 3 are both factors of P(x).

Therefore, we can write P(x) as P(x) = (x - 2)(x + 3)Q(x), where Q(x) is another polynomial. This is the factored form of P(x), and it can be used to find other roots or to simplify the polynomial equation.

In conclusion, the factor theorem is a useful tool in finding the factors of a polynomial equation. In our problem, we used the factor theorem to find the factors x - 2 and x + 3 of the polynomial equation P(x) = 0.

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CHALLENGE The sum of three consecutive terms of an arithmetic sequence is 6 . The product of the terms is -42. Find the terms.

Answers

The first step is to recall the equation for an arithmetic sequence: an = a1 + (n - 1)d, where a1 is the first term, an is the nth term, and d is the common difference.

Given the sum of three consecutive terms of the sequence, we know that a3 + a2 + a1 = 6. We can also recall that the product of the terms is a1 x a2 x a3 = -42.

Now, using the two equations, we can solve for the three terms:
a3 = (6 - a2 - a1)/2,
a2 = 6 - a1 - 2a3,
a1 = 6 - a2 - 2a3

Substituting the second and third equation into the first, we get:
a3 = -14/2 = -7

Therefore, the three consecutive terms of the arithmetic sequence are: a1 = -5, a2 = 2, a3 = -7.

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Work out the surface area of this solid
cylinder.
Give your answer rounded to 3 SF.
28mm
30mm
The diagram is not drawn to scale.

Answers

Answer: The surface area of a cylinder is given by the formula:

S = 2πr^2 + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π is the mathematical constant pi.

In this case, the radius is 28 mm and the height is 30 mm.

Substituting these values into the formula, we get:

S = 2π(28)^2 + 2π(28)(30)

Simplifying the equation:

S = 2π(28)(28 + 30)

S = 2π(28)(58)

S = 32176π

Using a calculator, we can approximate the value of S to 3 significant figures:

S ≈ 101285.744 mm^2

Therefore, the surface area of the cylinder is approximately 101286 mm^2 (rounded to 3 significant figures).

Step-by-step explanation:

The polynomial p(x) had the following roots: 5,-6,3-2i. Write the polynomial in factored form.

Answers

The polynomial in factored form is: (x-5)(x+6)(x-(3-2i))(x-(3+2i))

Since complex roots always come in conjugate pairs, we know that if 3-2i is a root, then 3+2i must also be a root. Therefore, we can write the polynomial in factored form by multiplying together the factors (x-5), (x+6), (x-(3-2i)), and (x-(3+2i)).

Alternatively, we can write the polynomial in factored form using the formula for a polynomial with complex roots:

p(x) = (x-r1)(x-r2)(x-r3)(x-r4)

where r1, r2, r3, and r4 are the roots of the polynomial. In this case, r1 = 5, r2 = -6, r3 = 3-2i, and r4 = 3+2i. Substituting these values into the formula gives us:

p(x) = (x-5)(x+6)(x-(3-2i))(x-(3+2i))

Therefore, the polynomial in factored form is written in the following form: (x-5)(x+6)(x-(3-2i))(x-(3+2i)).

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Question 1: You will receive a prize if both a fair coin lands "heads" AND a fair die lands "6". After the coin is flipped and the die is rolled you ask if AT LEAST ONE of these events has occurred and you are told "yes."
Formally calculate the probability of you winning the prize, whilst answering these questions in each step of your answer
i. Specify the joint distribution, P(????,????,????,????), in terms of its constituent conditional distributions
ii. Specify the full prior probabilities for the coin, P(????) and the dice, P(????), events
iii. Specify the full conditional distribution for the event that the coin is heads or dice is six, ????=????∪????
iv. Specify the full conditional distribution for the event that the coin is heads and dice is six, ????=????∩????
v. Use the fundamental rule to derive the distribution for the coin and dice events given the event that the coin is heads or dice is six, P(????,????|????=T????????????)
vi. Calculate the probability of observing that the coin is heads or dice is six, P(????=T????????????)
vii. Specify and calculate the posterior distribution for the joint probability of the coin and dice events given the event that the coin is heads or dice is six, P(????,????|????=T????????????)
viii. Derive the marginal distribution for the event that coin is heads and dice is six given we know the event heads or six, ????=T???????????? | ????=T???????????? , has occurred
ix. Calculate the marginal probability that the coin is heads and dice is six given we know the event heads or six, P(????=T????????????|????=T????????????)
x. Calculate the probability of you winning the prize

Answers

i. The joint distribution for the coin and dice events is given by P(C,D) = P(C|D)P(D) = P(D|C)P(C), where C is the event that the coin lands heads and D is the event that the dice lands six.

ii. The prior probabilities for the coin and dice events are P(C) = 0.5 and P(D) = 1/6, since they are both fair.

iii. The full conditional distribution for the event that the coin is heads or the dice is six is given by P(C∪D) = P(C) + P(D) - P(C∩D) = 0.5 + 1/6 - (0.5)(1/6) = 0.5833.

iv. The full conditional distribution for the event that the coin is heads and the dice is six is given by P(C∩D) = P(C|D)P(D) = P(D|C)P(C) = (0.5)(1/6) = 0.0833.

v. The distribution for the coin and dice events given the event that the coin is heads or the dice is six is given by P(C,D|C∪D) = P(C∩D|C∪D)P(C∪D) = (0.0833)(0.5833) = 0.0486.

vi. The probability of observing that the coin is heads or the dice is six is given by P(C∪D) = 0.5833.

vii. The posterior distribution for the joint probability of the coin and dice events given the event that the coin is heads or the dice is six is given by P(C,D|C∪D) = P(C∩D|C∪D)P(C∪D) = (0.0833)(0.5833) = 0.0486.

viii. The marginal distribution for the event that the coin is heads and the dice is six given we know the event heads or six has occurred is given by P(C∩D|C∪D) = P(C,D|C∪D)/P(C∪D) = 0.0486/0.5833 = 0.0833.

ix. The marginal probability that the coin is heads and the dice is six given we know the event heads or six has occurred is given by P(C∩D|C∪D) = 0.0833.

x. The probability of you winning the prize is the same as the probability that the coin is heads and the dice is six, which is given by P(C∩D) = 0.0833.

Therefore, the probability of you winning the prize is 0.0833.

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If you sell 3 lobster ravialis and 5 steak salad about how much will you earn in commission (round to the nearest hundreath

Answers

Answer:

Step-by-step explanation:

based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number

Test the hypothesis that a majority of the population of soft drink consumers prefer pepsi over coke. Use alpha=.10 (define the population parameter in H0)
Test the hypothesis that a majority of the population of soft drink consumers prefer pepsi over coke. Use alpha=.10 (define the population parameter in H0)
H0:
Ha:
Test statistic:
Rejection Region:
Obtain the P value:
Conclusion:

Answers

a)z-score

b)z-score > 1.64

c)comparing the z-score to a z-table

d)a majority of the population of soft drink consumers prefer Pepsi over Coke.

To test the hypothesis that a majority of the population of soft drink consumers prefer Pepsi over Coke, we will use a significance level of α = .10.

H0: The proportion of soft drink consumers who prefer Pepsi is ≤ 0.5.
Ha: The proportion of soft drink consumers who prefer Pepsi is > 0.5.

Test statistic: z-score

Rejection Region: z-score > 1.64

We will obtain the P value by comparing the z-score to a z-table.

Conclusion: Based on the P value, if it is less than or equal to the significance level of 0.10, then we reject the null hypothesis. We can conclude that there is sufficient evidence to suggest that a majority of the population of soft drink consumers prefer Pepsi over Coke.

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Part C What does the mapping found in part B tell you about the relationship between the two circles? Explain your reasoning.

Answers

In conclusion, the mapping in part B informs us that the two circles are equation congruent, i.e., that their size and shape are the same and that the mapping preserves all of their geometrical characteristics.

What is equation?

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The mapping in part B informs us that the points on the two circles correspond exactly to one another. In other words, there is exactly one point on the bigger circle for every point on the smaller circle, and vice versa.

In conclusion, the mapping in part B informs us that the two circles are congruent, i.e., that their size and shape are the same, and that the mapping preserves all of their geometrical characteristics.

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Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.

Answers

Answer:

5: 52 m

6: 600 inches

7: 352 yards

8: 43 cm

Step-by-step explanation:

5: 5x5=25. 4x3/2=6. 5x3=15. 4x3/2=6

25+6+15+6=52

6: It is a cube that has 10 length sides. Each side's area is 10x10=100

There are 6 sides, so 6x100=600

7: Top and bottom: 8x8=64 (There are 2, one is top, one is bottom)

Sides (4 of them): 7x8=56

2(64)+4(56)=

128+224=

352

8: 4x3=12. 5x3/2=7.5. 5x3/2=7.5. 4x4=16.

12+7.5+7.5+16=

43 cm

Pls mark me brainliest if it helps :), have a very nice day/night!

Answer:

1. 254

2.100.8

Step-by-step explanation:

Express f(x) in the form
f(x)=(x−k) q (x)+r for the given value of k.
f(x) = 4x^3+ x^2+ x − 9, k = −1
f(x)=

Answers

By applying synthetic division concept, it can be concluded that f(x) = 4x³ + x² + x - 9 can be expressed as f(x) = (x + 1)(4x² -3x + 4) - 13

Synthetic division is a shorthand way of dividing polynomials where we can divide the coefficients of the polynomial by omitting variables and exponents. As a result, we get the coefficient of the quotient and the remainder.

Polynomial remainder theorem states that the value of p in argument b is equal to the remainder of the polynomial division p(x) / (x - b). Specifically, p(x) is divided by x - b with a remainder of zero if, and only if, b is a root of p.

We have the following polynomial:

f(x) = 4x³ + x² + x - 9

and we have k = -1

We will divide the polynomial f(x) by (x + 1). The steps are as follows:

1. Put the coefficients in a row and multiply the outside coefficient by the divisor: 4(-1)= -4

2. Add the inside coefficient to the product from the previous step: -4 + 1 = -3

3. Multiply the result from the previous step by the divisor: -3(-1) = 3

4. Add the next coefficient to the product from the previous step: 3 + 1 = 4

5. Multiply the result from the previous step by the divisor: 4(-1) = -4

6. Add the last coefficient to the product from the previous step: -4 - 9 = -13

Now we take the first coefficient and the result of the sum steps, we get the following numbers: 4, -3, 4, -13

Then we can write the expression as follows: 4x³ + x² + x - 9 = (x + 1)(4x² - 3x + 4) - 13

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14 Data collected in mall recorded the shoe color worn by 30 customers. Based on this information, if
there are 360 customers in this mall, how many customers would you expect to have a black shoe?
Black
Brown
Number of
Customers
13
17

Answers

156 customers are expected to wear a black shoe.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

As per the given data:

Customers with black shoes = 13 out of 30

Customers with brown shoes = 17 out of 30

Total customers in the mall = 360

Probability that a customer wears black shoes:

P(B) = 13/30 = 0.433

Number of customers out of 360 expected to wear black shoes:

= P(B) × 360

= 0.433 × 360

= 156 customers.

Hence, 156 customers are expected to wear a black shoe.

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Select the correct answer. A firework cracker weighing 1.5 kilograms, is launched at 15(m)/(s) by propelling chemicals from combustion at a speed of 55(m)/(s). What is the mass of the chemicals being propelled?

Answers

The mass of the chemicals being propelled is 0.41 kilograms.

The correct answer is: 0.41 kilograms.

To find the mass of the chemicals being propelled, we can use the formula for momentum:

momentum = mass x velocity

Since the momentum of the cracker before it is launched is zero, and the momentum after it is launched is the sum of the momentum of the cracker and the momentum of the chemicals, we can set up an equation:

0 = (1.5 kg)(15 m/s) + (mass of chemicals)(55 m/s)

Next, we can rearrange the equation to solve for the mass of the chemicals:

(mass of chemicals)(55 m/s) = -(1.5 kg)(15 m/s)

mass of chemicals = -(1.5 kg)(15 m/s) / (55 m/s)

mass of chemicals = -22.5 kg / 55 m/s

mass of chemicals = -0.41 kg

So the mass of the chemicals being propelled is 0.41 kilograms.

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Ashley reads 64 pages of her book on Monday, 56 pages on Tuesday. She reads a total of 180 pages on Monday through Wednesday. How many pages did she read on Wednesday?

Answers

Answer:

60 pages

Step-by-step explanation:

64 + 56 = 120

180-120 = 60 pages

There are 6
red gumballs, 6
blue gumballs, 6
yellow gumballs, 6
green gumballs, and 6
purple gumballs in a gumball machine. If a student randomly selects 1
gumball from the machine, what is the probability that the student selects a red gumball?

Answers

Step-by-step explanation:

red gumballs=6 blue gumballs=6

yellow gumballs=6 green gumballs=6

purple gumballs=6

total number of gumballs=30

probability of a student selecting a red gumballs

no of red gumballs 6 1

=------------------------ = ----- = -----

no of total gumballs 30 5

Which equation shows the volume of the rectangular prism as a product of its edge lengths?

Answers

The equation that shows the volume of the rectangular prism as a product of its edge lengths is (5/3)(1/3)(2/3) = 10/27 in cube. Option 2 is the correct answer.

What is volume and how to calculate it?

The quantity of space within a three-dimensional object is its volume. The fundamentals of such forms are described in our page on three-dimensional shapes. Calculating volume is probably not something you will do as frequently as calculating area in the real world.

Even so, it may still be significant. Knowing how to calculate volume will help you determine things like how much room you have for packing when moving house, how much room you need for an office, or how much jam you can put into a jar. It can also be helpful for deciphering what the media means when they discuss a dam's capacity or a river's flow.

The volume of the rectangular prims is given by the formula:

V = lwh

Substituting the values we have:

V = (5/3)(1/3)(2/3) = 10/27

Hence, the equation that shows the volume of the rectangular prism as a product of its edge lengths is (5/3)(1/3)(2/3) = 10/27 in cube. Option 2 is the correct answer.

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10 Points if someone gets right

Given the fraction of 1/8

What is the decimal value? What is it's value written as a percent?

Answers

Answer: 0.125 and 12.5%

Step-by-step explanation:

To convert any fraction to decimal form, we just need to divide its numerator by the denominator.

Here, the fraction is 1/8 which means we need to perform 1 ÷ 8.

This gives the answer as 0.125. So, 1/8 as a decimal is 0.125

To get its percentage form, you simply multiply the obtained decimal value by 100:

0.125 x 100 = 12.5

Consider the following square greeting card with the given aread 8square inches

Answers

The complete table is

Whose card Length Width Perimeter Area

Sanya 10 cm 8cm 36cm 80 cm²

The perimeter of a shape is the distance around its edges. For a rectangle, like Sanya's greeting card, the perimeter can be found by adding up the lengths of all four sides. In this case, we have:

Perimeter = 2 × Length + 2 × Width

Perimeter = 2 × 10 cm + 2 × 8 cm

Perimeter = 20 cm + 16 cm

Perimeter = 36 cm

So, the perimeter of Sanya's greeting card is 36 centimeters. This means that if you were to walk all the way around the edges of the card, you would cover a distance of 36 centimeters.

The area of a shape is the amount of space it takes up. For a rectangle, the area can be found by multiplying its length by its width. In this case, we have:

Area = Length × Width

Area = 10 cm × 8 cm

Area = 80 cm²

So, the area of Sanya's greeting card is 80 square centimeters. This means that if you were to cover the card completely with paint or ink, you would need 80 square centimeters of paint or ink.

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Complete Question:

Sanya made greeting cards. Complete the table for their cards:

Whose card Length Width Perimeter Area

Sanya 10 cm 8cm

how to Find the object's acceleration when it changes direction.

Answers

Calculate acceleration using this equation: acceleration = delta v / time. expressions To solve for acceleration, enter the values you calculated for delta v and the amount of time it took the object to change directions.

what is expression ?

Multiplying, dividing, adding, and subtracting are all mathematical operations. As an example, consider the following expression: Expression, mathematics, and a numeric value Numbers, parameters, and functions are the components of an expression in mathematics. Using opposing words and phrases is possible. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical action between them. For instance, the expression 4m + 5 is made up of the expressions 4m and 5, as well as the variable m from the previous equation, all of which are separated by the mathematical symbol +.

An object's acceleration adjusts together with its direction. You may use the next several stages to get the object's acceleration at this point:

Calculate the object's initial and ultimate velocities before and after a direction change.

Subtract the end velocity from the beginning velocity to determine the change in velocity (delta v). This will reveal how much the velocity has changed.

Establish the time difference. This is the amount of time it takes for the velocity to switch from one direction to the other.

Calculate acceleration using this equation: acceleration = delta v / time. To solve for acceleration, enter the values you calculated for delta v and the amount of time it took the object to change directions.

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15 oz to lbs fraction form

Answers

The number of lbs in 15. oz is 9 3/8 lb

What is conversion?

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

lb and oz are both units of weight of a substance.

1 oz = 0.0625 lb

therefore 1 oz = 625/1000

= 25/40 lb

15 oz = 25/40 × 15

= 75/8 lb

= 9 3/8 lb

therefore the number of lbs in 15 oz is 9 3/8 lb

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I need help on this asap!!

Answers

If Bici expects to produce more than 500 bikes, then they should follow the second plan, and if they expect to produce fewer than 500 bikes, then they should follow the first plan.

How to analyze the plans ?

Under the first plan, the total cost to design and build a prototype bicycle is $125,000, and the combined materials and labor costs for each bike made under this plan will be $225. This means that for each bike produced, the total cost will be $125,000 + $225 = $125,225.

Under the second plan, the total cost to design and build a prototype bicycle is $100,000, and the combined materials and labor costs for each bike made under this plan will be $275. This means that for each bike produced, the total cost will be $100,000 + $275 = $100,275.

To determine which plan is more cost-effective, we need to consider the breakeven point where the costs of both plans intersect:

125, 000 + 225x = 100, 000 + 275x

50x = 25, 000

x = 500 bicylces

If Bici Bicycle Company plans to produce more than 500 bikes, then the second plan would be more cost-effective. However, if Bici plans to produce fewer than 500 bikes, then the first plan would be more cost-effective.

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Rectangle
�
�
�
�
ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
�
(
5
,
1
)
,
A(5,1),A, left parenthesis, 5, comma, 1, right parenthesis, comma
�
(
7
,
1
)
B(7,1)B, left parenthesis, 7, comma, 1, right parenthesis,
�
(
7
,
6
)
C(7,6)C, left parenthesis, 7, comma, 6, right parenthesis, and
�
(
5
,
6
)
D(5,6)D, left parenthesis, 5, comma, 6, right parenthesis.
What is the perimeter of rectangle
�
�
�
�
ABCDA, B, C, D?
units

Answers

The perimeter of this rectangle is equal to 14 units.

How to calculate the perimeter of a rectangle?

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.

For the width, we would determine the distance between the vertices (5, 6) and (5, 1)

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(5 - 5)² + (1 - 6)²]

Distance = √[(0² + (-5)²]

Distance = √25

Distance = 5 units.

For the length, we have:

Distance = √[(7 - 5)² + (6 - 6)²]

Distance = √[(2² + 0²]

Distance = √4

Length = 2 units.

Perimeter of this rectangle, P = 2(5 + 2)

Perimeter of this rectangle, P = 14 units.

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Complete Question:

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5,1). B(7,1), C(7,6), and D(5,6). What is the perimeter of rectangle ABCD?

Help!! Which graph corresponds to the equation

Answers

The graph of the function x^2/9 - y^2/49 = 1 is graph (d)

How to determine the graph of the function

From the question, we have the following parameters that can be used in our computation:

x^2/9 - y^2/49 = 1

The above equation is an hyperbola

An hyperbola that has its center at the origin is represented as

x^2/a^2 - y^2/b^2 = 1

Using the above as a guide, we have the following:

a^2 = 9

b^2 = 49

Evaluate

a = ±3

b = ±7

This means that the semi-major axis is a = 3 and the semi-minor axis is b = 7.

The graph with the above feature is graph (d)

Answers

One way to label the tick marks on the number lines is to use whole numbers for the longer tick marks and decimals for the shorter tick marks.

For example, on the first number line, you could label the longer tick marks as 0, 1, 2, 3, 4, and 5, and the shorter tick marks as 0.1, 0.2, 0.3, etc.

This fits with the structure of the base-ten system because each whole number is ten times greater than the corresponding decimal.

Another way to label the tick marks is to use fractions for the shorter tick marks. For example, on the second number line, you could label the longer tick marks as 0, 1, 2, 3, 4, and 5, and the shorter tick marks as 1/10, 2/10, 3/10, etc.

This also fits with the structure of the base-ten system because each fraction is one-tenth of the corresponding whole number.

Both of these labeling methods are accurate and fit with the structure of the base-ten system, so either one would be an appropriate way to label the tick marks on the number lines.

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Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
Responses

Interest rates vary between lenders and can drastically change the monthly payment.

Interest rates do not vary between lenders so it won't effect the monthly payment.

The interest rate effects the amount of time you have to pay back a loan.

Interest rates are not important when making financial decisions.

Answers

Interest rates vary between lenders and can drastically change the monthly payment.

What is Interest rate?

The interest rate is the cost of borrowing money from a lender. It determines how much extra you will pay on top of the principal amount borrowed.

The interest rate is a crucial factor to consider when shopping for loans because it directly affects the total cost of the loan.

Higher interest rates mean that you will pay more over the life of the loan, resulting in a higher monthly payment.

Lower interest rates mean that you will pay less over the life of the loan, resulting in a lower monthly payment.

Thus, choosing a loan with a lower interest rate can save you a significant amount of money in the long run.

Hence, Interest rates vary between lenders and can drastically change the monthly payment.

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30 POINTS AND BRAINLIEST!!!
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Answers

Using expression, the following provides one explanation for why there are two ways to add up the symbols on the tablet.

Describe expression.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities.

The hieroglyphic number system of ancient Egypt employed a decimal system with hieroglyphs to denote the powers of ten. It is challenging to give a precise response, though, without being able to see the precise symbols on the tablet.

It is feasible that there are two distinct ways to add the numbers represented by the symbols on the tablet, presuming that the tablet is employing a fundamental arithmetic operation like addition and that each symbol represents a different number.

Finding two different sets of integers that, when added together, yield the same answer is one way to approach this issue.

As an illustration, if the symbols stand for 2, 3, and 5, one technique to add them up would be:

2 + 3 + 5 = 10

They might also be added up as follows:

3 + 7 = 10

In this instance, the number 2 would be represented by the sign 2, and the number 5 by the symbol 3. This could be one reason for why the symbols on the tablet can be added in two different ways.

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A stawberry and a pear weigh 0. 4 pounds total. If the strawberry weighs 0. 03 pounds how much does the pear weigh

Answers

Answer:0.1

Step-by-step explanation:

0.1

What is the measurement of the missing angle

Answers

The measurement of the missing angle is 33 degrees

How to determine the measurement of the missing angle

From the question, we have the following parameters that can be used in our computation:

The triangle

On the triangle, we have the following equation

tan(?) = 9.09/14

Evaluate

tan(?) = 0.6493

Take the arc tan of both sides

? = 33 degrees

Hence, the angle is 33 degrees

Answers

The value of sin A in the triangle is 7/9

How to determine the value of sin A

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The triangle ABC

Using the sine rule, we have

sin(A) = Opposite/Hypotenuse

Substitute the known values in the above equation, so, we have the following representation

sin(A) = 7/9

Hence, the solution is 7/9