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Figure 1

Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below

V = (1/3)*pi*r^2*h

V = (1/3)*pi*(4)^2*4

V = (64/3)pi  ..... exact volume in terms of pi

V = (64/3)*3.14

V = 66.98667 .... approximate volume when using pi = 3.14

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Figure 2

V = volume of cylinder

V = pi*r^2*h

V = pi*4^2*4

V = 64pi ..... exact volume

V = 64*3.14

V = 200.96 .... approximate volume when using pi = 3.14

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Figure 3

b and h* are dimensions along the bottom face, aka floor

h is the height or vertical dimension of the 3D room

V = volume of rectangular prism = volume of 3D room

V = length*width*height

V = (b)(h*)(h)

V = (32)(12)(4)

V = 1536 is the exact volume

There is no approximate volume for this figure because the result above is an integer.

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Combining the figures

Adding up the volumes for figures 1 through 3 gets us

(64/3)pi + 64pi + 1536 = (256/3)pi + 1536

The exact total volume in terms of pi is (256/3)pi + 1536

If we used pi = 3.14, then it leads to

(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667

The approximate total volume of all three figures combined is roughly 1803.94667 cubic units

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

of the odd number it would be 3/6 in other words 1/2 Step-by-step explanation:

Answer:

c.1/2

Step-by-step explanation:

Step-by-step explanation:

a)

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

Dividing both sides by sin^2x, we get

[tex]1 + \frac{\cos^{2}x }{ \sin^{2}x} = \frac{1}{\sin^{2}x } [/tex]

The 2nd term on the LHS is simply cot^2x and the RHS is simply csc^2x

[tex]1 + \cot^{2}x = \csc^{2}x[/tex]

b)

[tex]2 \sin x = 1[/tex]

[tex] \sin x = \frac{1}{2} [/tex]

[tex]x = \sin^{ - 1} (\frac{1}{2}) = \frac{\pi}{6} [/tex]

You can also graph it to arrive at the solution.

Did u get help

On you question?

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

Answer:  The Real answers are 1) ✔ skewed left and 2) ✔ 1-3

Step-by-step explanation:

Please mark me brainliest

I need 3 more to move to a higher level but

i'm just glad to help.

Answer:

-3x - 6

Step-by-step explanation:

3 × -x = -3x

3 × -2 = -6

-3x - 6 hope this helps

Answer:

Step-by-step explanation:

Answer:

x^-11•x^2

using the law of indices...

x^(-11+2)

x^-9

Answer:

145

Step-by-step explanation:

angles in a pentagon add up to equal 540

Hence, 110 + 90 + 80 + 115 + v = 540

( note that we just created an equation that we can use to solve for v )

We now solve for v using the equation created

110 + 90 + 80 + 115 + v = 540

step 1 combine like terms

110 + 90 + 80 + 115 = 395

we now have 395 + v = 540

step 2 subtract 395 from each side

540 - 395 = 145

395 - 395 cancels out

we're left with v = 145

Answer:

A) 24

Step-by-step explanation:

Answer:

m = 24

Step-by-step explanation:

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

5

(8 × 3) - 12 = 12

24 - 12

12

Answer:

55 inches

Step-by-step explanation:

4 feet x 12 inches per foot = 48 inches + 7 inches = 55 inches

Answers:   49,   1,   49

Those values go in the blanks from left to right

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

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

Answer:

8 quarts, in 2 gallons

Step-by-step explanation:

Answer:

60:84

Step-by-step explanation:

We can divide 144 by 12 as 5+7 = 12.

We get 12 and we multiply 12 by both of the sections.

We get 60 and 84.

Answer:

(0, -8)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches

Step-by-step explanation:

The  given dimension of the steel sheet are;

The width = 8.5 inches

The length = 11 inches

Let 'x' represent the side length of the squares cut out, we have;

The length of the box formed, l = 11 - 2·x

The width of the box formed, w = 8.5 - 2·x

The height of the box, h = x

The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x

The maximum or minimum volume is found from dV/dx = 0 at max. or min.

dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0

Which gives;

x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)

x = 4.915 or 1.585

When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65

When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15

Therefore, the local maximum occurs at x ≈ 1.585

Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.

Answer:

4 3/4 yd

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

please mark brainliest

Answer:

option 3

Step-by-step explanation:

if 6 hours is $25.20 then 1 hour is $4.40.

To work this out, do 25.2 divided by 6

That means...

c = 4.20h

25.20 = 4.20 x 6

Answer:

The answer is A.

Y=64x²

X=64y²

X/64=y2

Then y = + or - root of x /8

Answer:

1.) Set the data set in the ascending order

2.) Start cancelling out numbers each side, like if u cancel out the first number, then cancel out the last as well.

3.) Keep doing the step 2 until u reach the middle most number.

4.) Sometimes there are 2 middle numbers left, in that case find their average (add both numbers together and divide the sum by 2) which would be ur middle most number.

Hope this helps!

Answer:

ok so the answer is 28² - 21 to the power of 4

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight

Answer:

1/3 chance she will chose a Mystery Book.

Step-by-step explanation:

I hope This helps?

Total= 18

mystery=6

6/18= 1/3

Answer:

the answer is 1/3 or 6 out of 18