A point representing the location of a library is shown on the coordinate grid. A museum is located 3.75 units from the library.

The law of sines is a theorem for triangle which states that for a triangle with sides a,b,c and angle A,B,C

Where,

a=32

A=56

c=34

For b and B is not full fill the condition of traiangle so zero triangle from ABC.

Data:

• A six-sided number cube is rolled.

• Then, a spinner with five equal sections labeled A through E is spun.

• Probability of rolling a number less than four and spinning a D.

Procedure

To get the total probability, we have to get the probability for each situation.

• Six-sided number cube

As we have six sides, we have six numbers, then we can get the probability of rolling a number less than four, meaning rolling 3, 2 or 1, as follows:

• Spinner with five equal sections

Similarly, we have five sides and we want to know the probability of getting a D:

• Total probability

Finally, the total probability, as those are independent events, would be the multiplication of the probabilities:

Answer: 1/10

Answer:

1/10

Step-by-step explanation: I took the test

Answer:

x y (x, y)

0 -5 (0, -5)

2 5 (2, 5)

1 0 (1, 0)

Explanation:

To fill a table, we need to give values to the variable x and then calculate the values of y.

So, if x = 0, then y is equal to:

y = 5x - 5

y = 5(0) - 5

y = 0 - 5

y = -5

If x = 2, then y is equal to:

y = 5x - 5

y = 5(2) - 5

y = 10 - 5

y = 5

If x = 1, then y is equal to:

y = 5x - 5

y = 5(1) - 5

y = 5 - 5

y = 0

Therefore, the complete table would be:

x y (x, y)

0 -5 (0, -5)

2 5 (2, 5)

1 0 (1, 0)

First we need write the equation of the line

we start from the general equation

we need find m(slope) and b(cut point)

for the slope

we choose 2 points and find

(0,5)and(1,3)

the slope is -2

we can replace on the general equation with a point(0,5) and solve b

for b

replacing m and b, the final equation is

now, our inequality tells us that it takes into account the values ​​below the line without taking the line (because it is dotted)

so we change = for <

the inequality is

The missing statements and reasons in the proof are 5) Δ AEB ≅ Δ CED and Δ AED ≅ Δ CEB, 5) By ASA rule and 6) AE ≅ CE and DE ≅ EB  

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, ABCD is a parallelogram, we need to prove that the diagonals of parallelogram ABCD bisect each other.

The proof is as follows,

Statement                                                                       Reason

1) AB CD and AD BC                                                        Given

2) ∠ 1 = ∠ 3                                                   When a transversal crosses

                                                                     parallel lines, alternate interior

                                                                            angles are congruent.

3) ∠ 2 = ∠ 4                                                   When a transversal crosses

                                                                      parallel lines, alternate interior  

                                                                            angles are congruent.

4) AB = CD                                                           Opposite sides of a

                                                                       parallelogram are congruent.

5) Δ AEB ≅ Δ CED

and Δ AED ≅ Δ CEB                                                By ASA rule

6) AE ≅ CE and DE ≅ EB                            Corresponding parts of

                                                           congruent triangles are congruent,

7) Point E bisects both AC and BD            Definition of bisector

Hence, proved.

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EXPLICACION.

Dos razones forman una proporcion cuando se da la siguiente condicion ;

el producto de sus extremos es igual al producto de sus medios.Veamos un ejemplo:

Un ejemplo de razones que se pueden hallar facilmente y saber si realmente es verdadera o exacta la proporcion es el siguiente ejemplo:

Answer

Option C is correct.

(g o f)(4) = 196

Step-by-step Explanation

f(x) = 3x

g(x) = (x + 2)²

We are then told to find

(g o f)(4)

We need to first interprete what (g o f) means

(g o f) refers to writing g(x) with f(x) replacing x. That is, f(x) replaces all the x that the function given by g(x) has.

(g o f) = g[f(x)]

g(x) = (x + 2)²

g[f(x)] = [f(x) + 2]²

Recall that f(x) = 3x

g[f(x)] = [3x + 2]²

We can then go further now to obtain (g o f)(4)

(g o f)(x) = g[f(x)] = [3x + 2]²

(g o f)(4) = [3(4) + 2]²

= [12 + 2]²

= 14²

= 196

Hence, option C is correct.

(g o f)(4) = 196

Hope this Helps!!!

Answer:

Domain: [tex](-\infty, \infty)[/tex]

Range: [tex][0, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer:

Step-by-step explanation:

The value is [tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]

What is an equation?

a mathematical statement that shows that two expressions are equal is known as expression.

We are given an equation [tex]s=\frac{(v_{1}-v_{2} )w }{5}[/tex]

Multiplying both sides by 5 we get

[tex]5s=(v_{1}-v_{2})w[/tex]

Dividing both sides by w,

[tex]\frac{5s}{w}=v_{1}-v_{2}[/tex]

Rearranging the equation we get,

[tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]

Therefore the value is [tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]

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Given:

A parallelogram must be a rectangle.

If the diagonals are congruent then the parallelogram must be a rectangle.

Option B is the final answer.

To round a number to a specific place, look at the number to the right of that place. If the number is less than 5, round down. If it is greater than or equal to 5, round up.

Question 1: 613 rounded to the nearest ten is 610.

The tens digit in 613 is 1. To the right of 1 is 3. Therefore, the approximation of 613 is:

THIS STATEMENT IS TRUE.

Question 2: 1,970 rounded to the nearest hundred is 1,900.

The hundreds digit in 1,970 is 9. To the right of 9 is 7. This means that we will round up by adding 1 to 9. Therefore, the approximation will be:

THIS STATEMENT IS FALSE.

Question 3: 54,318 rounded to the nearest thousand is 54,000.

The thousands digit is 4. To the right of 4 is 3. Therefore, the approximation is:

THIS STATEMENT IS TRUE.

Question 4: 476,022 rounded to the nearest ten thousand is 470,000.

The ten thousands digit is 7. To the right of 7 is 6. This means that we will round up. Therefore, the approximation is:

THIS STATEMENT IS FALSE.

Answer: 39

Step-by-step explanation: 1889 - 1927 = 30

1g of rice is taken from a bag containing 5kg of rice for cooking. The ratio of the amount taken out to the original amount is 5:1.

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Given the following inequality:

To plot the inequality, first we will plot the line y = x - 4

We will graph the line using the intercepts

When x = 0, y = -4

When y = 0, x = 4

So, the line passes through the points (4, 0) and (0, -4)

The graph of the line will be solid

Now, we will find the area that will be shaded to represent the answer.

Use the point (0, 0)

So, 0 ≥ 0 - 4

So, the point (0, 0) lying in the solution area.

the plot of the inequality will be as shown in the following figure:

When x = 0, y = -4

When y = 0, x = 4

So, the line passes through the points (ng the intercepts

When x = 0, y =

The length of AC must be 3 cm letter B

Second question

Both B and C are correct.

Answer:

13,325

Step-by-step explanation:

247.43 x 5

13,535

Answer:

0.54666666666

Step-by-step explanation:

i don't know why but that is the answer

         Ensuring that each person has an equal chance to maximize their potential is what equality is all about.

Proof: Given that A = B and B = C, we can infer that A = C according to the transitive principle. A = C and C = D are both true if we also know that C = D. We shall ultimately get at A = D after one more transitive property application.

The symmetrical attribute of equality

This fact, which states that if  

18 + 10 =28,

then

28 = 10 + 18,

Serves as an example of the equality's symmetric property. The symmetric property of equality in mathematics is actually fairly straightforward. According to this principle, if a = b, then b =a.

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The probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.

As given,

Let us assume X is the event of the sum of two dice is even

Therefore

P(X) = The probability of having an even sum of two dice

Since all events are given in the question image, then

n(S) = Sample space = 36

X = {(1,1) , (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)}

n(X) = 18

Since

P(X) = n(A)/n(S)

P(X) = 18/36

P(X) = 1/2

Let us assume Y is the event of the sum of two dice is greater than 9, then

Y = {(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)}

n(Y) 6

P(Y) = n(Y)/n(S)

P(Y) = 6/36

P(Y) = 1/6

P(X∪Y) = P(A) + P(B)

= 1/2 + 1/6

= 4/6

= 2/3

Therefore,  probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.

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The standard form of the quadratic function is- y = 2x² + 12x + 7

Here, we are given-

Vertex coordinate = (-3, -11)

Point on the graph = (0, 7)

The vertex form of a quadratic equation is given as-

y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

a is the letter in general form of quadratic equation which is-

y = ax² + bx + c

Thus, here, h = -3, k = -11, x = 0 and y = 7

Substituting these values in the vertex form we get-

7 = a(0 - (-3))² - 11

⇒ 7 + 11 = 9a

9a = 18

a = 18/9

a = 2

Thus, the standard form of the quadratic equation can be calculated as-

y = 2(x - (-3))² - 11

y = 2x² + 12x + 18 - 11

y = 2x² + 12x + 7

Thus, the standard form of the quadratic function is- y = 2x² + 12x + 7

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Let's apply the formula for the lateral area and total surface area of a pyramid.

• Lateral Surface Area:

To find the lateral area of a pyramid, apply the formula:

Where:

p is the perimeter of the base

s is the slant height.

Example:

From the above square base pyramid, we have:

length of base, b = 4 cm

Slant height, s = 3 cm

Let's find the lateral area.

Since the base is a square, the perimeter will be:

p = 4 x 4 = 16 cm

Hence, to find the lateral area, we have:

Therefore, the lateral area of the square base pyramid above is 24 cm².

• Total surface area of a pyramid.

To find the total surface area of a pyramid, apply the formula:

Where:

A is the area of the base

p is the perimeter of the base

s is the slant height.

Or we can simply say, the formula for total surface area is:

Total surface area = Lateral area + Area of base

Example:

Using the squarea base pyramid above, we have:

Area of base = 4 x 4 = 16 cm²

Lateral area = 24 cm²

Total surface area = 24 cm² + 16 cm² = 40 cm².

Given

The recipe for the smoothie is made up of 5 cups of strawberries and 2 cups of bananas.

For the point (1,2.5)

It means that from the graph showing a plot of the numbers of cups, with the number of strawberries cups on the y-axis and the number of banana cups on the x-axis, the 2.5 is for the number of cups for strawberries while 1 is the number of cups of banana.

We can also say that

For every 1 cup of banana, there should be 2.5 cups of strawberries.

The total distance between Adrian and the seahorses is 7 feet.

How to calculate distance between two planes below sea level?
Since, the values of distances of the planes from the sea level are given as reference, mere linear subtraction of the smaller value from the larger value will bring in the distance between the seahorses and Adrian constructively; if the value turns out to be negative for unforeseen reasons, the modulus of the value obtained will serve the purpose.

Given, the distance from sea level where seahorses dwell = d₁ = 55 feet
The distance from sea level Adrian would dive = d₂ = 48 feet
Distance between seahorses and Adrian = d₁ - d₂ = (55 - 48) feet = 7 feet
Thus, the total distance between Adrian and the seahorses is 7 feet.

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Answer:

A, D are correct.

Step-by-step explanation:

M=1.2 according to the image so anything below that is the answer.

To determine the equation of a line that passes through (x₁,y₁) you can use the following formula:

Substituting the given points in the above formula, you get:

Simplifying you get:

Taking the above solution to its slope-intercept form, you get:

Since angle 16 measures 139 degrees and is a supplementary angle with angle 17, we have the following equation:

solving for angle 17, we get:

therefore, the measure of angle 17 is 41 degrees

Answer:

take square root on both side

Step-by-step explanation:

ANSWER

Discount amount = $59.80

Net price = $239.20

EXPLANATION

We are given that the price list of the smartphone at the store is $299.

The Samsung dealer receives a trade discount of 20%.

This means that 20% of the price was taken off for the dealer.

To find the discount amount, we need to find 20% of $299.

That is:

That is the discount amount.

To find the net price, we simply need to deduct the discount amount from the list price.

That is:

Net price = $239.20

That is the net price.

Answer:

NJ and the other day and t I don't know what to do it again and again and again and again and again and again and again and again and again and again and again and again and again I will be a good night my dear sister and her and I will have to go in