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3 years ago

Find the radius of a sphere with a surface area of 1024π square inches

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

Step-by-step explanation:

The formula of a Surface Area of a sphere:

$S.A.=4\pi R^2$

R - radius

We have

$S.A.=1024\pi\ in^2$

Substitute:

$4\pi R^2=1024\pi$ <em>divide both sides by π</em>

$4R^2=1024$ <em>divide both sides by 4</em>

$R^2=256\to R=\sqrt{256}\\\\R=16\ in$

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Variance of 147,141,120,124,128

jonny [76]

Answer:

Variance population of 147,141,120,124,128 = 106

Variance sample of 147,141,120,124,128 = 132.5

Hope this helps and PLSSS MARK AS BRAINLIEST :)

8 0

3 years ago

Read 2 more answers

The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use thi

Katyanochek1 [597]

Answer:

K(x) = $\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }$ ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = $-5x^2$

first Determine the value of F'(x)

F'(x) = $\frac{d(-5x^2)}{dy}$

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = $\frac{d(-10x)}{dy}$

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x) $= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }$

K(x) = $\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }$ ( curvature function)

6 0

4 years ago

Can someone please help me?

zhuklara [117]

Answer:

1 solution --> y=-13/2

Step-by-step explanation:

7(y+3)=5y+8

7y +21=5y+8

2y=8-21

2y=-13

y=-13/2

3 0

3 years ago

If a gallon of paint covers 400 square feet, how many gallons are needed to paint a retaining wall that is 269 feet long and 4 f

Nuetrik [128]

The area of a rectangular shape is given by

$A=l\times b$

Given:

It is given that a gallon of paint covers 400 square feet, and wall is 269 feet long and 4 feet high .

Now the area of wall will be

$A=269\times4$

Since,

$\begin{gathered} 400\text{ sq f}eet=\text{ 1gallon} \\ 1\text{ sq f}eet=\frac{1}{400}gallon \\ 269\times4\text{ sq f}eet=\frac{1}{400}\times269\times4 \\ =\frac{269}{100} \\ =2.69\text{ gallon} \\ =3\text{ galllon} \end{gathered}$

So, the ewall requires approx 3 gallon of paint.

5 0

2 years ago

Please hurry find the measure of P

Inessa [10]

Answer:

m∠P = 65°

Step-by-step explanation:

An Isosceles triangle has two sides of equal length and two interior angles of equal measure.

Sum of interior angles of a triangle = 180°

If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O

⇒ m∠Q + m∠P + m∠O = 180

⇒ 50 + m∠P + m∠O = 180

⇒ m∠P + m∠O = 130

As m∠P ≅ m∠O:

⇒ m∠P = 130 ÷ 2 = 65°

7 0

2 years ago

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