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3 years ago

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?

Mathematics

1 answer:

GREYUIT [131]3 years ago

3 0

We know that,

Volume of sphere = 4/3πr³

72 = 4/3 × 22/7 × r³

72 × 21/88 = r³

³√17.18 = r

2.58 cm = r

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The average of −8 and 7<br> according to my online hw thingy 1/2 is incorrecto

kirill [66]

Add -8 + 7. You get -1.
-1 ÷ 2 is -.5, or -1/2.
You forgot the negative.

7 0

4 years ago

The top of blue mountain ski slope 19 3/4 yards above sea level. The lowest point of the ski point is 12.5 yards below sea level

lorasvet [3.4K]

Answer: 3.625 yards above the sea level.

Step-by-step explanation:

Given: The elevation of top of top of blue mountain above the sea level= $19\frac{3}{4}=19.75\ yards$

The length of the lowest point below the sea level= 12.5 yards

The total elevation from the lowest point under the sea and the top of blue mountain=19.75+12.5=32.25 yards

The midpoint between the top and bottom of the slope = $\frac{1}{2}\times32.25=16.125\ yards$

Since the ski lift is going to pick them up at the midpoint between top and bottom of the slope.

Therefore, the elevation at which they will be picked up= 19.75-16.125=3.625\ yards above the sea level.

5 0

3 years ago

Subtract (8.4 x 108) − (9.5 x 106).

Step2247 [10]

Based on the fact that the expressions to be subtracted have the same base, the result is 8.305 x 10⁸.

<h3>What is the result of the subtraction?</h3>

The first number in standard form is:

= 8.4 x 10⁸

= 840,000,000

The second number in standard form is:

= 9.5 x 10⁶

= 9,500,000

The result is:

= 840,000,000 - 9,500,000

= 830,500,000

In scientific notation this is:

= 8.305 x 10⁸

Find out more on scientific notation at brainly.com/question/5756316.

#SPJ1

4 0

2 years ago

The length of a rectangle is 4 centimeters less than twice it’s width. The perimeter of the rectangle is 34vm. What are the dime

IrinaVladis [17]

l = 2w - 4

Because we're solving for 2l + 2w, that can be simplified to

2(2w - 4) + 2w = 34

4w - 8 + 2w = 34

6w - 8 = 34

6w = 42

w = 7

Knowing this, we can input w:

2(7) + 2l = 34

14 + 2L = 34

2l = 20

l = 10

L = 10, W = 7, Option C

5 0

3 years ago

Read 2 more answers

PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

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

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

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

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0

2 years ago