Find the zeros of the function.

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Artyom0805 [142]

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

4 0

3 years ago

It seems like I can’t see the answers so if you commented, comment again! Thanks :)

just olya [345]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

$Angle \: \: 4 = 100°$

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

8 0

3 years ago

Prove the diagonals of the square with vertices P (0,4), Q (4,4), R (0,0) and S (4,0) are perpendicular bisectors of each other.

Aneli [31]

Answer: The slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).

Explanation:

The given vertices are P (0,4), Q (4,4), R (0,0) and S (4,0).

If a line passing through the point $(x_1,y_1)$ and $(x_2,y_2)$ , then the slope of the line is,

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of diagonal PS is,

$m_1=\frac{0-4}{4-0}= \frac{-4}{4} =-1$

The slope of diagonal QR is,

$m_2=\frac{0-4}{0-4}= \frac{-4}{-4} =1$

The slope of both diagonals are 1 and -1, therefore the product of their slopes is -1. So, the diagonals are perpendicular to each other.

The formula for midpoint is,

$midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

The midpoint of PS is,

$\text{midpoint of PS}=(\frac{0+4}{2} ,\frac{4+0}{2})=(2,2)$

The midpoint of QR is,

$\text{midpoint of QR}=(\frac{4+0}{2} ,\frac{4+0}{2})=(2,2)$

The midpoint of both diagonals are same, therefore diagonals are bisecting each other.

Therefore, the slope of diagonal PS is -1. The The slope of diagonal QR is 1. The midpoint of PS is (2,2). Midpoint of QR is (2,2).

5 0

3 years ago

Read 2 more answers

How do you put an equation into slope intercept form?

Natalija [7]

Answer:

y=mx+b

Step-by-step explanation:

the m represents the slope

the b is represents the y intercept

8 0

3 years ago

Dimensional Analysis Question Please Help

irina1246 [14]

We know

$\boxed{\sf 1US\:ton=3.2\times 10^4ounce}$

$\\ \sf\longmapsto 3.1\times 10^1ton$

$\\ \sf\longmapsto 3.1\times 10^1\times 3.2\times 10^4$

$\\ \sf\longmapsto 9.92\times 10^5ounce$

8 0

3 years ago