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4 years ago

The diameter of a sphere is 4 centimeters. which represents the volume of the sphere?

1 answer:

3 0

The volume of a sphere with respect to its diameter is:

V=(4πr^3)/3

V=(πd^3)/6 (because r=d/2 and r^3=(d^3)/8), we are given that d=4 so

V=64π/6 cm^3

V=32π/3 cm^2

V≈33.51 cm^3 (to nearest hundredth)

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A store purchases an item wholesale for 60$ and marks it up by 70 percent if there is a 7 percent tax on the item how much will

seropon [69]

Answer:

109.14

Step-by-step explanation:

to Start off do 60 x .70, then add the answer to 60, then multiply by .07 then add that to 102, for the answer of 109.14

6 0

4 years ago

Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number

liberstina [14]

Answer:

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

Step-by-step explanation:

From the first equation:

$20x - 80y = 100$

$20x = 100 + 80y$

$x = \frac{100 + 80y}{20}$

$x = 5 + 4y$

Replacing on the second equation:

$-14x + 56y = -70$

$-14(5 + 4y) + 56y = -70$

$-70 - 56y + 56y = -70$

$0 = 0$

This means that the system has an infinite number of solutions, considering:

$x = 5 + 4y$

$4y = x - 5$

$y = \frac{x - 5}{4}$

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

8 0

3 years ago

the basketball court in the park is rectangle two of the sides are 84 feet long and the other two sides are 50 ft long what is t

butalik [34]

Hello!

So, we know that the length of the rectangular basketball court is 84 ft, and the width is 50 ft.

The formula for perimeter of a rectangle is:

P = 2l + 2w

This means that we need to multiply the length by two and the width by two as well.

Substitute:

P = 2(84) + 2(50)

P = 168 + 100

P = 268 ft

ANSWER:

The perimeter of the basketball court is 268 feet long.

6 0

3 years ago

Angle Q = 85° Determine angle O.

kkurt [141]

Answer:

∠O = 95°

Step-by-step explanation:

since ∠Q = 85°, arc NOP = 2(85°) = 170°

arc PQN = 360° - arc NOP

arc PQN = 360° - 170° = 190°

∠O = 1/2(arc PQN) = 1/2(190°) = 95°

4 0

3 years ago

Pls helpppp ASAP I’m so confused

Sidana [21]

Answer:

2268 in3

Step-by-step explanation:

7 0

3 years ago