What is the volume of the prism?



Enter your answer in the box as a mixed number in simplest form.



ft³
$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$$x\frac{ }{ }$$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$

A rectangular prism with the width as three and a half feet, the length as two and a half feet and the height as one and a half feet.

Answer:

x ≈ 8.1 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan72° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25}{x}[/tex] ( multiply both sides by x )

x × tan72° = 25 ( divide both sides by tan72° )

x = [tex]\frac{25}{tan72}[/tex] ≈ 8.1 ( to the nearest tenth )

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27528 ft^3

Explanation:

24 x 31 x 37 = 27528

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

Given:

The vertices of a right triangle are:

[tex](-3,4),(3,4),(3,-4)[/tex]

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]

[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(6)^2+0}[/tex]

[tex]AB=\sqrt{36}[/tex]

[tex]AB=6[/tex]

Similarly,

[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]

[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]BC=\sqrt{64}[/tex]

[tex]BC=8[/tex]

And,

[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]

[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]AC=\sqrt{36+64}[/tex]

[tex]AC=\sqrt{100}[/tex]

[tex]AC=10[/tex]

Now, taking sum of squares of two smaller sides, we get

[tex]AB^2+BC^2=6^2+8^2[/tex]

[tex]AB^2+BC^2=36+64[/tex]

[tex]AB^2+BC^2=100[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

Answer:

6.5

Step-by-step explanation:

Answer:

6.5 centimeters (proof below!)

Step-by-step explanation:

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

Answer:

$80

Step-by-step explanation:

10x + 30 = y

He wants to rent it for 5 hours, so we replace x with 5.

10(5) + 30 = 80

He should expect to pay $80 for the rental.

Answer:

4 ) reflexive property of congrunce

5 ) Definition of Equilateral Triangle

Step-by-step explanation:

4) the lines are equal to each other

5) if one triangle is equal to another triangle than they must be the same triangle

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope tis helps

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

Answer:

D

Step-by-step explanation:

D starts low on both sides but is highest in the middle

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

Answer: It's C=πr2

Step-by-step explanation: I took the test

Answer:

Check pdf

Step-by-step explanation:

Answer:

+/-11

Step-by-step explanation:

It's plus or minus eleven

Answer:

45.5

Step-by-step explanation:

To find 35% of 70, you have to use the equation...

70 x 35/100

70 x 35 = 2,450

2,450/100 = 24.5

24.5 is 35% of 70, so the item is now $24.5 less than the original price.

70 - 24.5 = 45.5

The selling price is $45.5

Answer:

B

Step-by-step explanation:

C = πd = 3.14 * 32 = 100.48in

Answer:

-5

Step-by-step explanation:

1*1=1

1-6= -5

Hope this helped!

Answer:

The answer is D

Answer:

35+28=31

Step-by-step explanation:

Answer:

m = -1, b = 5.

Step-by-step explanation:

We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.

Answer:

0,-1

Step-by-step explanation: