Find the measure of an interior angle and exterior angle of a regular 24gon

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225

The probability a surveyed driver is worried = 35%

Since the probability of being worried is independent ;

The probability that all 3 surveyed are worried :

Therefore, the probability that all three people surveyed are worried is : 0.1225

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Answer:

y>2x+1

Step-by-step explanation:

1. there is 'y=2x+1' graph is represented.

2. the shaded reqion is y>2x+1.

The correct linear inequality represented by the graph is y > 2x + 1. The correct option is C.

An inequality is a mathematical statement that compares two values or expressions and shows their relationship using the symbols < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

To see why, note that the line shown in the graph has a y-intercept of 1 and a slope of 2 (i.e., it passes through the points (0,1) and (1,3)).

If we plug in any point above this line, we get a y-coordinate that is greater than 2x + 1. For example, if we plug in the point (2,6), we get:

6 > 2(2) + 1

6 > 5

All points above the line satisfy the inequality y > 2x + 1.

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Answer:

A = \(\frac{3}{4}\) \(\sqrt[3]{B}\)

Step-by-step explanation:

Given A varies directly as \(\sqrt[3]{B}\) then the equation relating them is

A = k \(\sqrt[3]{B}\) ← k is the constant of variation

To find k use the condition A = 3 when B = 64 , then

3 = k \(\sqrt[3]{64}\) = 4k ( divide both sides by 4 )

\(\frac{3}{4}\) = k

A = \(\frac{3}{4}\) \(\sqrt[3]{B}\) ← equation of variation

Answer:

Step-by-step explanation:

To find the cost of each box divide the total cost by the number of boxes:

In store A:

→ A box of cotton candy cost = $ 1

→ 12 boxes cost = $ 12

In store B:

→ 12 boxes cost = $ 48

Now we have to,

find the cost of each box in the store B.

→ Total cost in B ÷ Total boxes in B

→ 48 ÷ 12 = 4

So, $ 4 is cost of each box in store B.

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

So, "down" is the translation direction, while "7 units down" is the number of units.

A right triangle's hypotenuse is its longest side, its "opposite" face is the one which faces a certain angle, and its "adjacent" side is the one that faces the angle in question. To define the side of right triangles, we utilize specific terminology.

We must change a point's x and y coordinates by the same amount in order to translate it. Let's calculate the difference between Y and Y′'s coordinates:

Difference in x-coordinates = 2 − 2 = 0

Difference in the y-coordinate = −2 − 5 = −7

This reveals that in the y-direction, Y′ is 7 units lower than Y. Hence, we must translate its entire triangle 7 units down inside the y-direction in order for Y to shift to Y′.

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So, "down" is the translation direction, while "7 units down" is the number of units.

A right triangle's hypotenuse is its longest side, its "opposite" face is the one which faces a certain angle, and its "adjacent" side is the one that faces the angle in question. To define the side of right triangles, we utilize specific terminology.

We must change a point's x and y coordinates by the same amount in order to translate it. Let's calculate the difference between Y and Y′'s coordinates:

Difference in x-coordinates = 2 − 2 = 0

Difference in the y-coordinate = −2 − 5 = −7

This reveals that in the y-direction, Y′ is 7 units lower than Y. Hence, we must translate its entire triangle 7 units down inside the y-direction in order for Y to shift to Y′.

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Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

f(x) = -3x+1

Step-by-step explanation:

every straight graph has an equation f(x) = m * x + b

when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1

so your equation is -3x + 1

Answer:

y = x + 6

Step-by-step explanation:

Answer:

its 504 ok...........................

504. If you multiply all the numbers together, you get all the possible combinations of such events

Answer: D  a rotation, then a dilation

Step-by-step explanation:

A triangle is said to be congruent when all angles are equal to each other and and has the same side.

it is similar  when the two angles correspond with each other and has different sides.

so for a triangle to be different in side only a dilation has to be apply to it. Performing a rotation,reflection, and translation doesn't change the size of the shape it  changes the position of the shape.  

A rotation, then a dilation will create a pair of similar, not congruent triangles.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent. Hence all the three sides and three angles are congruent.

Rotation, translation and reflection are rigid transformation and would produce a congruent shape while dilation produces a similar and not congruent shape.

A rotation, then a dilation will create a pair of similar, not congruent triangles.

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Answer: Pop up ads show up

Step-by-step explanation: because of them

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

A. 1.4 pounds

Step-by-step explanation:
She divided 5.6/4 so in each jar there would be 1.4 pounds.
You can check your work by multiplying 1.4 to 4 and you'll get 5.6.

From the graph we have the following table:

where the corrleation coefficient is equal to r=0.9125. This means that the behavior of the data is almost perfectly linear.

Regarding the second question, the behavior is very similar if we remove the point corresponding to April.

Answer:

It is incorrect. It is supposed to be set at -8 to 9 but instead it is at -8 to 7.

The decimal should go up 2 places higher!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The smallest perfect square that has three different prime numbers as factor is 900

900 = 30 * 30

Factors = 2² * 3² * 5² = 900

Answer:

Step-by-step explanation:

A trig identity is tan(x) = sin(x)/cos(x) so

tan(A) = (4/7)/(3/7) = 4/3

yes, the answer is actually 180

Answer:

is that i-ready

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

i'm very smart and x=0 is the y intecept so

Answer:

Step 1: Write your hypotheses and plan your research design

Step 2: Collect data from a sample

Step 3: Summarize your data with descriptive statistics

Step 4: Test hypotheses or make estimates with inferential statistics

Step 5: Interpret your results

Step-by-step explanation:

Answer:

≈51.55

Step-by-step explanation:

∆/360 πD = 7.2

x/360 *22/7*16= 7.2

x/360 *50/2/7= 7.2

x/360 = 63/440

x =51.54545455

≈51.55

Answer:

Step-by-step explanation:

hello,

\(g(x)=\dfrac{1}{x-1}\\\\x=g(g^{-1}(x))=\dfrac{1}{g^{-1}(x)-1} \\ \\g^{-1}(x)-1=\dfrac{1}{x}\\ \\g^{-1}(x)=\dfrac{1}{x}+1=\dfrac{1+x}{x}\)

And this is a function defined for x different from 0.

Thanks