7.
A design engineer built a rotating isosceles triangular prism in the middle of a park for
people to enjoy. If the rotating prism has the following dimensions as shown in the image below, what is the total surface area of the rotating prism?
38 ft
44ft
43ft
24 ft

Answer:

24

Step-by-step explanation:

Answer:

p=7

Step-by-step explanation:

2(p + 1) = 16

2p + 2 = 16

     -2      -2

2p = 14

/2     /2

p=7

Answer:

p = 7

Step-by-step explanation:

Took a test!

Answer:

Subtraction

Step-by-step explanation:

9-2=7. The rabbit weighs 7lbs

-72/-12 equals 6.

Hope it helps!

Answer:

[tex]745x8fe15421[/tex]

Answer:

i think b

Step-by-step explanation:

Answer:

53x-28x

Step-by-step explanation:

Area equals length tomes width, so multiply them. You would multiply them by using the distributive property, lastly add like terms.

Answer:

Step-by-step explanation:

Answer:

A. similar, AA

Step-by-step explanation:

Angles F and H are given as congruent in the figure.

From the figure, we see that angles EGF and JGH are congruent since they are vertical angles.

We have two angles of one trianfgle congruent to two angles of the other triangle.

The triangles are similar by AA Similarity.

Answer: A. similar, AA

Answer:

A, B, and D

Step-by-step explanation:

Substitute all the coordinates into the equation. (x, y)

3(-2) - (-7) = 1

-6 - (-7) = 1

1 = 1

3(-1) - (-4) =1

-3 - (-4) = 1

1 = 1

3(0) - (1) = 1

0 - (1) = 1

-1 does not equal 1

3(3) - (8) = 1

9 - (8) = 1

1 = 1

The ordered pairs which are solutions to the equation 3x − y = 1 are:

By testing;

For A. (−2, −7); we have;

For B. (−1, -4); we have;

For C. (0, 1); we have;

For D. (3, 8)

Read more on equation solutions:

https://brainly.com/question/2284807

Step-by-step explanation:

First we solve it.

I'll use substitution.

In the first equation y equals -2x+2 so we can apply that to the second equation

2y + 4x = 4

2(-2x+2) + 4x = 4

distribute

-4x+4+4x=4

simplify

4=4

To figure out how many solutions it has:

•If both side of the equal sign are exactly the same: Infinitely many

ex: 6x=6x

•If both sides of the equal sign do not match when completely simplified: No solutions

ex: 3x=-5x

•If it creates an equation: 1 solution

ex: x=3+2y

Since both sides of the equal sign are 4, we have infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

0.3 percent of 60 is 0.18.

To find 0.3 % of 60, we can convert 0.3 % to decimal form by dividing it by 100: 0.3 ÷ 100 = 0.003.

Next, we multiply 0.003 by 60 to calculate the desired percentage:

0.003 * 60 = 0.18.

Therefore, 0.3% of 60 is 0.18. This means that if we take 0.3% (0.003) of the value 60, the result is 0.18. It can also be interpreted as 0.18 being 0.3% of 60. By converting the percentage to decimal form and multiplying it by the given value, we obtain the corresponding portion or fraction of the whole.

Learn more about percentage here

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Answer:

1) he will drive 180 miles in 4 hours

2) 45 mph

3) 2 hours

4) 270 miles

Step-by-step explanation:

Number 1:

The point is on (4,180) and since the x is hours and the y is miles. In 4 hours he can drive 180 miles.

Number 2:

For the unit rate we will use the same point (4,180) and put it the y over the x and simplify. [tex]\frac{y}{x}=\frac{180}{4}=\frac{45}{1}=45[/tex] so in 1 hour he can drive 45 miles.

Number 3:

Now for this we should set up an equation [tex]y=45x[/tex]. So they told us if he drove for 90 miles that means we will substitute the y and place the 90 because as I said in number 1 y is miles.

[tex]y=45x\\90=45x\\x=2[/tex]

So it'll take him 2 hours to drive 90 miles.

Number 4:

Now they are telling us how many miles can he drive if he drives for 6 hours. We can use the same equation for this and instead we will be substituting for x since x is hours.

[tex]y=45x\\y=45(6)\\y=270[/tex]

So if he would to drive for 6 hours he can drive 270 miles.

=======================================================

Explanation:

The vertical side of the blue triangle is PR = 2

The corresponding vertical side of the green triangle is P'R' = 4

The scale factor is the ratio of those two corresponding sides. So we divide the two side lengths.

scale factor = (P'R')/(PR) = (4)/(2) = 2

---------------------

We could also say:

scale factor = (R'Q')/(RQ) = (6)/(3) = 2

Or you could find the lengths of PQ and P'Q' through the distance formula, or Pythagorean theorem, and apply the same idea as shown above.

Answer:

[tex]y[/tex] [tex]x^{2}[/tex]

Step-by-step explanation:

I did the work on paper, do you want me to send u a picture?

Answer:

ok so put one point on (0, 1) and another on (3, -3)

brainliest pls :)

Answer:

yes it is a right triangle

Step-by-step explanation:

Answer:

of course not

Step-by-step explanation:

use Pythagoream thereom

12^2 + 14^2 does not equal 25^2

Answer:

a = -1

Step-by-step explanation:

4a3a = (4+3)2-5 = 7a

12a = 14a - 5 = 7a

12a = 14a - 5 - 7a = 0

12a -14a + 5 + 7a = 0

(12 - 14 +7)a + 5 = 0

5a + 5 = 0

5a = -5

a = -1

i don't know if its right or not

Step-by-step explanation:

B.x2-8 it this because u work brakets first

Answer:

c=8

Step-by-step explanation:

The value of c that makes z = -5/4 an extraneous solution is c = 24/5.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The equation is given as:

√{4z + 9} = cz + 8

An extraneous solution is a solution that is not a valid solution to the original equation, but it is obtained during the process of solving the equation. In this case, the extraneous solution is z = -5/4.

To determine the value of c that makes z = -5/4 an extraneous solution, we can substitute -5/4 for z in the original equation. This gives us the following:

√{4 × -5/4 + 9} = -5/4 × c + 8

√{-5 + 9} = -5/4 × c + 8

√4 = -5/4 × c + 8

2 = -5/4 × c + 8

5/4 × c =  8 - 2

5/4 × c = 6

c = 6 × 4/5

c = 24/5

Therefore, the value of c that makes z = -5/4 an extraneous solution is c = 24/5.

Learn more about the equations here:

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Answer:

m = 300

Step-by-step explanation:

[tex]m/5 = 60[/tex]

multiply both sides of the equation by 5

[tex]m = 60 * 5 = 300[/tex]

Answer:

n = 300

Step-by-step explanation:

60 * 5 = 300

m = 300

Answer:

1/2x+7

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

First use a step by step process called BODMAS which stands for brackets of(x) division multiplication additon and subtraction

Answer:

The measure of the acute angle is 18.4°

Step-by-step explanation:

The angle between a line of equation y = m x + b and the positive part of the x-axis is Ф = [tex]tan^{-1}[/tex](m), which means tan Ф = m, where m is the slope of the line

Let us use this rule to solve the question

∵ A line of equation y = [tex]\frac{1}{3}[/tex] x + 4 makes with a horizontal line an acute ∠

→ Compare the equation of the line by the form of the equation above

∴ m = [tex]\frac{1}{3}[/tex]

→ Assume that the acute angle is Ф

∴ The acute angle between the line and the horizontal line is Ф

→ By using the rule above

∵ tan Ф = m

∴ tan Ф = [tex]\frac{1}{3}[/tex]

→ Use [tex]tan^{-1}[/tex] to find Ф

∵ Ф =  [tex]tan^{-1}[/tex] ( [tex]\frac{1}{3}[/tex] )

∴ Ф = 18.43494882

→ Round it to the nearest tenth

∴ Ф = 18.4°

∴ The measure of the acute angle is 18.4°

6

6 multiplied by 12 =72

72 multiplied by 2 =144

Answer:

The ratio for writing utensils to school supplies is 8:12

Answer:

4:12?

If writing utensils = pencils

and school supplies = erasers + crayons,

I believe that is the answer.

If not, sorry.

Hey there!

This answer to your question is it is false.

This is because you could have a rectangle with a length of 6 and a width of 4, and the area would be the same as a rectangle with a length of 8 and a width of 3. They would both be 24.

Hope it helps and have an amazing day! Stay safe!

Answer:

True

Step-by-step explanation:

They do appear similar.

Answer:

true

Step-by-step explanation:

sorry if im wrong

Answer:

(-2,10)=x1,y1

(1,1)=x2,y2

we have,

(y-y1)=(y2-y1)/(x2,x1)[(x-x1)]

(y-10)=(1-10)/(1+2)[x+2]

y-10=-9/3(x+2)

y-10=-3(x+2)

y-10=3x+6

y=3x+16

Answer:

Step-by-step explanation:

The slope of a line passing through two points: (x₂, y₂) and (x₁, y₁) is:

                                                                               [tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(-2, 10)  ⇒  x₁ = -2,  y₁ = 10

(1, 1)    ⇒  x₂ = 1,  y₂ = 1

So:

      [tex]\bold{m=\dfrac{1-10}{1+2}=\dfrac{-9}{3}=-3}[/tex]

The point-slope form of equation of line is y - y₀ = m(x - x₀)

We can pick any of given poins, so:

x₀ = 1,  y₀ = 1   and  m = -3

y - 1 = -3(x - 1)

y = -3x + 3 + 1

y = -3x + 4      ←  slope intercept form of the line