Nvm I found the answer

Answers

Answer 1
I’m just writing this to get the points

Related Questions

uses the bearing of a boy in the corridor of a storey building from a ball on the bearing of the ball from the ground is N72E.What is the bearing of the ball from the boy? ​

Answers

Answer:

60 degrees

Step-by-step explanation:

have a great day and thx for your inquiry :)

solve for x. -8x+44>_60 and -4x+50<58

Answers

Answer: x = -2.

Step-by-step explanation:

-8x + 44 ≥ 60

Subtracting 44 from both sides, we get:

-8x ≥ 16

Dividing both sides by -8 (and reversing the inequality since we are dividing by a negative number), we get:

x ≤ -2

Next:

-4x + 50 < 58

Subtracting 50 from both sides, we get:

-4x < 8

Dividing both sides by -4 (and reversing the inequality), we get:

x > -2

Putting the two inequalities together, we get:

-2 < x ≤ -2

This means that the solution for x is x = -2.

Which of the following lines does not intersect
A.
y=-3x-7
B.
y = 3x + 7
y=-3x+7?
C. y = 3x - 7
1
D.
y = 3x

Answers

Answer:

D

Step-by-step explanation:

The line in option D, y = 3x, does not intersect with any of the other lines.

To see this, we can first note that options A and B have slopes of -3 and 3, respectively, which means they are parallel lines. Therefore, they will never intersect.

Option C has a slope of 3 as well, but its y-intercept is -7, which is different from the y-intercept of line B, which is 7. This means that these two lines are not parallel and will intersect at some point.

On the other hand, line D has a slope of 3 and a y-intercept of 0 (since there is no constant term), which means it passes through the origin. Therefore, it will not intersect with any of the other lines unless one of the other lines also passes through the origin, which is not the case here.

Therefore, the line that does not intersect with any of the other lines is option D, y = 3x.

Answer:  B. y = 3x + 7 and y = -3x + 7 are parallel lines, so they do not intersect.

Step-by-step explanation:

Two lines in a plane may intersect at a point, be parallel, or be coincident (overlapping). To determine which of the given lines do not intersect, we need to find the slope of each line and check for parallelism.

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept. Therefore, we can write the equations of the given lines in slope-intercept form as follows:

A. y = -3x - 7 (slope m = -3)

B. y = 3x + 7 (slope m = 3)

C. y = 3x - 7 (slope m = 3)

D. y = 3x (slope m = 3)

From the slopes, we can see that lines B and C have the same slope of 3, so they are parallel. Therefore, they do not intersect at any point in the plane. Lines A and D have different slopes, so they are not parallel and will intersect at some point in the plane.

1) How does math of any kind affect your life on a daily basis? Please explain

2) How comfortable do you feel working with math skills, such as adding and subtracting up to finding sales tax or interest?

Answers

Answer:

1. Maths has huge effect on daily basis.

2. I feel much more confident with math skills.

Step-by-step explanation:

1. Numerous ways in which maths influences our lives on a daily basis. When budgeting our expenses, measuring ingredients when cooking, calculating the amount of money we must pay for goods or services, and calculating the amount of time it will take to travel between two points, we all use maths. We also utilise maths to determine the best value for our money by comparing the costs of several options, computing savings or discounts, and so on. A lot of occupations, like engineering, science, finance, and technology, depend heavily on maths.

2. I am proficient and accurate at completing simple mathematical operations like addition, subtraction, multiplication, and division as well as calculating sales tax and interest. These abilities are crucial for daily living and, with practise, they emerge naturally. While many people have no trouble with these math concepts, others might. Recognising our mathematical strengths and shortcomings is crucial so that we may focus on enhancing our abilities and navigating daily life more comfortably and confidently.

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Use the Pythagorean Identity to find cosθ if sinθ=(√2)/2 and θ terminates in Quadrant I.

Answers

The cosine of the angle is equal to √2/2.

The Pythagorean Identity states that in a right triangle with hypotenuse c and legs a and b, the following relationship holds:

a² + b² = c²

Where c is the longest side of the right triangle, called the hypotenuse, and a and b are the two shorter sides.

Using this identity, we can relate the sine and cosine of an angle as follows:

sin²θ + cos²θ = 1

where θ is the angle in question.

In this question, we are given that sinθ = (√2)/2 and that the angle θ terminates in Quadrant I.

Using the given value of sinθ, we can substitute it into the Pythagorean Identity as follows:

(sinθ)² + (cosθ)² = 1

(√2/2)² + (cosθ)² = 1

2/4 + (cosθ)² = 1

1/2 + (cosθ)² = 1

(cosθ)² = 1 - 1/2

(cosθ)² = 1/2

Taking the square root of both sides, we get:

cosθ = ± √(1/2)

Since we are in Quadrant I, we know that the cosine of the angle must be positive, so we can take the positive square root:

cosθ = √(1/2)

Simplifying the square root, we get:

cosθ = √2/2

Therefore, the cosine of the angle θ is √2/2, as required.

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Gabriella bought a pile of 85 bricks to build a brick wall. Yesterday, she used 53/85 of the bricks. Today, she plans to use another 20/85 of the original brick pile to finish the wall.

Answers

Gabriella would have in fraction 2/85 of the bricks left to use after tomorrow

Given that,

total number of bricks she bought = 85

The ratio of bricks she use yesterday = 53/85

The ratio of bricks she use today = 20/85

Following tomorrow, the fraction of the bricks still have,

1 -  (53/85 + 20/85)

= 1 - 83/85

= 2/85 of the bricks

Hence,

2/85 of bricks left.

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A spinner is spun twice with 4 equal sections colored purple, orange, green, and blue. What is the P(spinning two Greens)?

1 over 2
1 over 4
1 over 8
1 over 16

Answers

Answer:

1 over 16 or 1/16

Step-by-step explanation:

All thanks to the multiplication of probability rule, if you have the probability of 2 events and you want to know what the probability of them both happening is you simply multiply the two probabilities.

So the probability is 1/4 x 1/4=1/16

the probability is 1/16.

I hope my answer helps solve your problem, and teaches you some things.

Need some help with not to sure how to do it

Answers

The excluded points for the function are; x = -2 and x = 9

What are the excluded values of a function?

The excluded values of a function are the values of the independent variable (usually denoted as "x") that would make the function undefined.  In other words, the excluded values are the values that the independent variable cannot take on in order for the function to be well-defined.

We have that;

[tex]x^2 - 9x/x^2 - 7x - 18[/tex]

When we factor the denominator we have that;

[tex]( x + 2) (x - 9)[/tex]

Thus the points of discontinuity are x = -2 and x = 9

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y
=

16
x
2
+
177
x
+
98
y=−16x
2
+177x+98

Answers

The rocket will hit the ground approximately 2.57 seconds after launch.

The equation given is:

y = -16x² + 177x + 98

where y represents the height of the rocket in feet, and x represents the time elapsed since launch in seconds. This is a quadratic equation in standard form, where the coefficient of x² is negative, indicating that the graph of the equation is a downward-opening parabola.

To find the time when the rocket hits the ground, we need to find the value of x when y = 0, since the rocket's height is zero when it hits the ground. We can substitute y = 0 into the equation and solve for x:

0 = -16x² + 177x + 98

We can then use the quadratic formula to solve for x:

x = (-b ± √(b² - 4ac)) / 2a

where a = -16, b = 177, and c = 98.

Plugging in the values, we get:

x = (-177 ± √(177² - 4(-16)(98))) / 2(-16)

x = (-177 ± √(62721)) / (-32)

Simplifying further, we get:

x = (-177 ± 251) / (-32)

We can discard the negative value since time cannot be negative, and round the positive value to the nearest 100th of a second:

x ≈ 2.57 seconds

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Use the Pythagorean Identity to find cosθ if sinθ=(√2)/2 and θ terminates in Quadrant I.

Answers

Value of cosθ will be cosθ = (√2)/2 after using Pythagorean Identity.

The Pythagorean Identity states that sin²θ + cos²θ = 1. We can use this identity to find cosθ given that sinθ = (√2)/2 and θ terminates in Quadrant I.

Since sinθ = (√2)/2 and θ terminates in Quadrant I, we can draw a right triangle with angle θ in Quadrant I, opposite side equal to √2, adjacent side equal to 1, and hypotenuse equal to √3.

Using the Pythagorean Theorem, we can find the length of the hypotenuse as:

h² = a² + b²

√3² = 1² + (√2)²

3 = 1 + 2

3 = 3

So, the length of the hypotenuse is √3.

Now, we can use the Pythagorean Identity to find cosθ:

sin²θ + cos²θ = 1

Substituting sinθ = (√2)/2:

(√2/2)² + cos²θ = 1

Simplifying:

2/4 + cos²θ = 1

1/2 + cos²θ = 1

cos²θ = 1 - 1/2

cos²θ = 1/2

Since θ terminates in Quadrant I and sinθ is positive, we know that cosθ is also positive. Therefore, taking the positive square root of both sides, we get:

cosθ = √(1/2) = (√2)/2

So, cosθ = (√2)/2.

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can some pleas help with this

Answers

The domain of the function from the given graph is [-4, 4]. Therefore, option A is the correct answer.

Domain = the set of all x-coordinates.

From the given graph, the zeros are (-4, 0) and (4, 0),

So, the domain of values are {-4, -3, -2, -1, 0, 1, 2, 3, 4}

Interval notation -4≥x≤4

Therefore, option A is the correct answer.

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I NEED HELP WITH THIS what is the probability that either will occur first find the probability of event a 6 20 6 20 i would also like the answer to event b as well but its ok if you dont lol

Answers

The probability of event A occurring first is 1/5.

To find the probability of event A occurring first, we need to calculate the probability of A and B not occurring simultaneously. We can express this probability using the formula:

P(A and not B) = P(A) - P(A and B)

Here, P(A and not B) denotes the probability of A occurring but not B, and P(A and B) denotes the probability of both A and B occurring simultaneously.

We are given that A U B = 6, which means that the number of outcomes in either A or B or both is 6. We can express this as:

P(A or B) = 6/20

Since P(A or B) = P(A) + P(B) - P(A and B), we can rearrange this equation to get:

P(A) = P(A or B) + P(A and B) - P(B)

We know that P(A or B) = 6/20, P(B') = 20, A' = 6, and U = 20. From B', we can find P(B) as:

P(B) = B'/U = 20/20 = 1

We can now substitute these values into the equation to get:

P(A) = 6/20 + P(A and B) - 1

Simplifying this, we get:

P(A and not B) = P(A) - P(A and B) = 5/20 - P(A and B)

We know that A' = 6, which means that the number of outcomes that are not in A is 6. Using this, we can express P(A and B) as:

P(A and B) = U - A' - B' = 20 - 6 - 20 = -6

Since A and B are mutually exclusive, we can simplify the equation P(A or B) = P(A) + P(B) to:

P(A or B) = P(A) + P(B)

Substituting the values we know, we get:

6/20 = P(A) + 1

Simplifying this equation, we get:

P(A) = 1/5

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4. The volume of a sphere is 524 in'. Another sphere has a radius that is 3 times larger.
What is the volume of the larger sphere?

Answers

Answer:

V_larger ≈ 14,137 in^3

Step-by-step explanation:

The formula for the volume of a sphere is

V = (4/3)πr^3,

where "r" is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

Let's first calculate the radius of the smaller sphere using its volume:

V = (4/3)πr^3
524 = (4/3)πr^3
r^3 = (524 * 3/4π)
r ≈ 5.10 inches

Now, let's calculate the radius of the larger sphere, which is 3 times larger than the radius of the smaller sphere:

r_larger = 3r
r_larger ≈ 3 * 5.10
r_larger ≈ 15.3 inches

Finally, we can calculate the volume of the larger sphere using its radius:

V_larger = (4/3)πr_larger^3
V_larger = (4/3)π(15.3)^3
V_larger ≈ 14,137 in^3

Therefore, the volume of the larger sphere is approximately 14,137 cubic inches.

using 0-9 as digits,
which 2 digit number has order rotational of 2
which 3 digit number also has order rotational of 2

Answers

The value of 2 digit number has order rotational of 2 is, 16

And, The value of 3 digit number has order rotational of 2 is, 931

Now, For a two-digit number with an order rotational of 2, it means that if you flip the digits, you get a different but still valid number.

Hence, There are a few such numbers, but one example is 16 which becomes 61 when you flip the digits.

And, For a three-digit number with an order rotational of 2, it means that if you rotate the digits, you get a different but still valid number.

And, There are also a few such numbers, but one example is 319 which becomes 931 when you rotate the digits.

Thus, The value of 2 digit number has order rotational of 2 is, 16

And, The value of 3 digit number has order rotational of 2 is, 931

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Consider the exponential function:f(x) =3 (5/4)

Answers

The initial value for the function f(x) = 3 (5/4)ˣ is 3.

The base for this function is 5/4.

The domain for this function is all real numbers.

The range for this function is all positive real numbers greater than 0.

The exponential function is given as follows:

f(x) = 3 (5/4)ˣ

To find the initial value of an exponential function, we need to evaluate the function at x=0. In this case, we have:

f(0) = 3 (5/4)⁰

f(0) = 3

Therefore, the initial value of the function is 3.

The base of an exponential function is the constant factor that is raised to the power of x. In this case, the base is 5/4.

The domain of an exponential function is all real numbers since the function is defined for all values of x.

The range of an exponential function is all positive real numbers greater than 0 since the function is always positive and can approach 0 but never reach it.

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The complete question is as follows:

Consider the exponential function: f(x) = 3 (5/4)ˣ

The initial value for this function is ____.

The base for this function is ____.

The domain for this function is ____.

The range for this function is ____.

Find the experimental probability of tossing heads.

H stands for heads and T stands for Tails.
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Answers

The value of the experimental probability of tossing heads is,

⇒ 1 / 3

We have to given that;

Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T

Where, H stands for heads and T stands for Tails.

Hence, Total outcomes = 15

And, Head outcomes = 5

Thus, The value of the experimental probability of tossing heads is,

⇒ 5 / 15

⇒ 1 / 3

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If m∠AOD = (2x + 12)° and m∠DOC = (8x − 2)°, what is m∠AOD?

134°
46°
28°
17°

Answers

Answer:

46°

Step-by-step explanation:

If you want to crack this problem, you have to remember one thing: triangles are awesome. They always add up to 180°. Let me show you how:

First, let's look at angle BOC. It's the third angle of triangle BOC, so we can find it by subtracting the other two angles from 180°:

m∠BOC = 180° - m∠AOD - m∠DOC m∠BOC = 180° - (2x + 12)° - (8x - 2)° m∠BOC = 180° - 10x + 10° m∠BOC = 190° - 10x

Next, let's use a cool trick: angle AOD is an exterior angle of triangle AOB, which means it's equal to the sum of the two angles inside the triangle that are not touching it. Those are angles AOB and BOC. We can write this as an equation:

m∠AOD = m∠AOB + m∠BOC (2x + 12)° = (28)° + (190° - 10x) Now we can solve for x by doing some math magic:

2x + 12 = 28 + 190 - 10x 12x = 206 x = 17.17

Finally, we can plug in x into the expression for angle AOD and simplify:

m∠AOD = (2x + 12)° m∠AOD = (2 x 17.17 + 12)° m∠AOD = (34.34 + 12)° m∠AOD = 46.34°

And there you have it: angle AOD is 46.34°, which is pretty close to option 46°

footnotes for in-depth understanding:

I realized that angle AOB is part of a quadrilateral with the points A, O, B, and C. This shape has four angles that add up to 360°. Here's what I did:

I looked at the other three angles of the shape: angle AOC, angle BOC, and angle COA. I used the information they gave me to find their values. Angle AOC is double angle AOD, and angle COA is double angle DOC. So I wrote:

m∠AOC = 2 x m∠AODm∠AOC = 2 x (2x + 12)°m∠AOC = (4x + 24)°m∠COA = 2 x m∠DOCm∠COA = 2 x (8x - 2)°m∠COA = (16x - 4)°

I also used the answer I got for angle BOC in the last question:

m∠BOC = 190° - 10x

Then I used the fact that the four angles of the shape add up to 360° to make an equation and solve for angle AOB:

m∠AOB + m∠AOC + m∠BOC + m∠COA = 360°m∠AOB + (4x + 24)° + (190° - 10x)° + (16x - 4)° = 360°

To find m∠AOB, I simplified and rearranged the equation:

m∠AOB = 360° - (4x + 24)° - (190° - 10x)° - (16x - 4)°m∠AOB = 360° - 210° + 10x - 16x + 4m∠AOB = 154° - 6x

So, the value of angle AOB is 154° - 6x. When x is equal to 17.17, as we found before, angle AOB is equal to 154° - (6 x 17.17), which is about 27°. That's how I found angle AOB.

Please help with my maths

Answers

The diagram below shows a square based pyramid. Point O is directly above the center of the base.

a) The length of AC = 26.87 cm

b) The perpendicular height = 66.961 cm

Considering ΔOAD,

cos 82° = [tex]\frac{19/2}{OC}[/tex]

OC = [tex]\frac{9.5}{cos \ 82}[/tex] = [tex]\frac{9.5}{0.1391}[/tex] = 68.296

Considering the base ABCD, the length of the diagonal AC,

It is given as [tex](AC)^2 = 19^2 + 19^2[/tex] = 361 + 361 = 722

AC = 26.87 cm

MC = [tex]\frac{1}{2}[/tex] (AC) = [tex]\frac{1}{2} (26.87)[/tex] = 13.435

Considering ΔOMC,

[tex](OM)^2 = (OC)^2 - (MC)^2 = (68.296)^2 + (13.435)^2[/tex]

= 4664.343 - 180.499 = 4483.844

OM = 66.961

Therefore, the length AC = 26.87 cm and the perpendicular height = OM = 66.961 cm.

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GIVING BRAINLIST PLEASE HELP ME OUT!!

Answers

Answer:

P = 165/360 = 11/24 = about .46

= about 45.83%

What is the value of x? 68mm 57 mm 129.2mm

Answers

The value of length x is given by, x = 98 mm.

So in the figure we can see that it is a scalene triangle.

And the lengths are given by,

VT = 57 mm

YK = 68 mm

TK = 129.2 mm

and the length of VK = x mm.

So, YV = (x - 68) mm

We have to find the value of this 'x' here.

Also we can conclude that TY is the angle bisector for the angle VTK in the triangle KTV.

So by angle bisector theorem we get,

YK/TK = YV/VT

68/129.2 = (x - 68)/57 [Putting the values given]

x - 68 = (68*57)/129.2

x - 68 = 30

x = 30 + 68

x = 98

Hence the value of x is, x = 98 mm.

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Which reason is the justification for the statement that angle A ≅ angle B?

A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.

Answers

Answer:

A) Vertical angles are congruent.

The school principals has a Binet of $9.00 for making repairs to one of the play grounds she plans to cove the surface of the playground with soft rubber tiles.With money left over she will purchase new equipment.
The t

Answers

Effective:

Thirty children suffered broken bones last year because of outdated playground equipment.

Studies show that safe playground equipment helps promote children's development.  

Tax money spent on our children's safety is tax money well spent.

New playground equipment can be used to enhance our children's education.

Ineffective:

Other schools in the area have new playground equipment.

The nurse's office is conveniently located next to the playground.

Here, we have,

The education is a discipline that is concerned with methods of teaching and learning in schools or school-like environments as opposed to various non-formal and informal means of socialization (e.g., rural development projects and education through parent-child relationships).

Education can be thought of as the transmission of the values and accumulated knowledge of a society. In this sense, it is equivalent to what social scientists term socialization or enculturation.

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complete question:

In a speech about the importance of installing new and safer school playground equipment, which reasons most effectively express the speaker's viewpoint?

label as

Effective or Ineffective

Thirty children suffered broken bones last year because of outdated playground equipment.

Studies show that safe playground equipment helps promote children's development.

New playground equipment can be used to enhance our children's education.

Other schools in the area have new playground equipment.

Tax money spent on our children's safety is tax money well spent.

The nurse's office is conveniently located next to the playground.

Assume that the distributions for the following scenarios are normal. Use the normal standard table to find the following probabilities. Round z
-scores to the nearest hundredth.

The average score on a math test is 75
with a standard deviation of 8
. What is the probability that a randomly selected test has a score of 90
or higher?
P(z
Answer

Answer
)=
Answer

The life of a gas grill is 3.5
years with a standard deviation 0.35
years. What is the probability that the grill will last less than 3
years?
P(z
Answer

Answer
)=
Answer

Ambulance response times average 7.5 minutes with a standard deviation of 2.5. What is the probability that an ambulance will respond within 6 to 8 minutes.
P(
Answer
Answer

z
Answer

Answer
)=
Answer

Answers

Answer: y=2+6

Step-by-step explanation:

a project team needs to complete 150 test cases in 10 hours. the team has 20 testers available. 20 testers can complete 50 test in hours.
will the project team finish the test cases on time

Answers

25 testers will require 40 days to complete 50 test cases.

Given that all the testers are equally productive i.e. they complete an equal number of tests in equal time.

According to the question, 50 testers can complete 25 test cases in 10 days

Number of tests completed in one day by 50 testers = 25 / 10

= 2.5

The number of tests completed in one day by a single tester = 2.5 / 50

= 0.05

The number of tests completed in one day by 25 testers = 0.05 X 25

= 1.25

The time taken to complete 50 tests by 25 testers = 50 / 1.25

= 40

Hence, 25 testers will require 40 days to complete 50 test cases.

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The complete question is =

50 testers can complete 25 test cases in 10 days. All testers are equally productive. A project has 25 testers and 50 test cases. How much time will they take to complete?

Write a polynomial equation for a function with a graph that bounces off the
x-axis at (-1,0), crosses it at (4,0), and goes through the point (-2,-18).

Answers

The polynomial equation passing through the point ( -2 , -18 ) is given by the function f(x) = x³ - 2x² - 7x + 8

Given data ,

A function with a graph that bounces off the x-axis at (-1,0), crosses it at (4,0), and goes through the point (-2,-18)

Now , the value of the function is

If a graph of a polynomial equation bounces off the x-axis at (-1,0), crosses it at (4,0), and goes through the point (-2,-18), it means that the function has a zero of multiplicity 2 at x=-1, a zero at x=4, and passes through the point (-2,-18)

To write a polynomial equation for this function, we can use the zero product property and write the factors that correspond to each of the zeros:

f ( x ) = (x + 1)² (x - 4)

On simplifying , we get

f ( x ) = x³ - 2x² - 7x + 8

Hence , the function is f ( x ) = x³ - 2x² - 7x + 8

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the sum of two numbers is 180. IF one number is 40% more than the other, find the numbers.

Answers

Answer:

x + 1.4x = 180

2.4x = 180

x = 75, so 1.4(75) = 105

PLEASE HELPPPP I NEED THIS ITS OVER DUE!!!!!

Answers

Answer:

3) tanθ = -√3

4) tanθ = undefined

Step-by-step explanation:

For your third problem, we are given:

[tex]\displaystyle{\cos \theta = -\dfrac{1}{2}}[/tex]

And [tex]\displaystyle{\theta}[/tex] lies in quadrant 2 which is [tex]\displaystyle{90^{\circ} < \theta < 180^{\circ}}[/tex]. Since tangent is the division of sine over cosine, and cosine is in negative while sine is positive according to unit circle in quadrant 2. Therefore, the value of tangent is negative.

We lack sinθ to find tanθ. Therefore, we have to find sinθ first. We can use the identity:

[tex]\displaystyle{\sin^2 \theta + \cos^2 \theta = 1}[/tex]

To solve for sinθ, subtract cos²θ both sides:

[tex]\displaystyle{\sin^2 \theta + \cos^2 \theta - \cos^2 \theta= 1-\cos^2 \theta}\\\\\displaystyle{\sin^2 \theta= 1-\cos^2 \theta}[/tex]

Substitute cosθ = -1/3. Therefore:

[tex]\displaystyle{\sin^2 \theta= 1-\left(-\dfrac{1}{2}\right)^2}\\\\\displaystyle{\sin^2 \theta= 1-\dfrac{1}{4}}\\\\\displaystyle{\sin^2 \theta=\dfrac{4}{4}-\dfrac{1}{4}}\\\\\displaystyle{\sin^2 \theta = \dfrac{3}{4}}[/tex]

Since the value of sinθ is positive in quadrant 2. Hence:

[tex]\displaystyle{\sin \theta = \sqrt{\dfrac{3}{4}}}\\\\\displaystyle{\sin \theta = \dfrac{\sqrt{3}}{2}}}[/tex]

Now find the value of tanθ by sinθ/cosθ. Therefore:

[tex]\displaystyle{\tan \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{-\dfrac{1}{2}}}\\\\\displaystyle{\tan \theta = -\sqrt{3}}[/tex]

Therefore, tanθ = -√3.

Next, to your fourth problem. To find tanθ again but given that sinθ = -1 in range of 0 ≤ θ < 2π.

Again, we have to apply the identity like the third problem. In this case, we solve for cosθ so we have the formula of:

[tex]\displaystyle{\cos^2 \theta = 1-\sin^2 \theta}[/tex]

Substitute in sinθ:

[tex]\displaystyle{\cos^2 \theta = 1-(-1)^2}\\\\\displaystyle{\cos^2 \theta = 1-1}\\\\\displaystyle{\cos^2 \theta = 0}[/tex]

Therefore:

[tex]\displaystyle{\cos \theta = 0}[/tex]

Since tanθ is sinθ/cosθ. We have -1/0 which is undefined. Therefore there are no tanθ values.

How many ways can you order an ice cream cone at an ice cream parlor where there is 8 types cones,5 flavors,and 6 toppings?

Answers

Using permutation, there 240 ways we can make an order.

What is permutation?

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order.

The formula of permutation is given as;

P(n,r) = n!/(n-r)!

In the given question, we can choose one type of cone in 8 ways, 1 type of flavor in 5 ways and 1 type of topping in 6 ways, the total number of ways will be;

Number of ways = 8 * 5 * 6 = 240 ways

The total number of ways in which we can choose 8 type of cone, 5 flavors and 6 toppings in one order is 240 ways.

Learn more on permutation here;

https://brainly.com/question/12468032

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How is the graph below misleading? What would you do to fix it?

Answers

They can improve their graph by doing the following ; Tips:

1. They should show which one represents 100% as a key

2. The height of the books compared to the percentages are not accurate

3. To simplify the graph, their should be a stack of books for each individual year

Lexi is saving up money to buy a car. Lexi puts $10,000.00 into an account which earns 3% interest, compounded quarterly. How much will she have in the account after 9 years?

Answers

Answer: 13086.45

Step-by-step explanation: 10000(1+0.03/4)^36

First, convert R as a percent to r as a decimalr = R/100r = 3/100r = 0.03 rate per year,Then solve the equation for AA = P(1 + r/n)ntA = 10,000.00(1 + 0.03/4)^(4)(9) A = 10,000.00(1 + 0.0075)^(36) A = $13,086.45 Summary:The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3% per year compounded 4 times per year over 9 years is $13,086.45.

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