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Elodia [21]
2 years ago
12

A sports ball has a diameter of 27 cm. Find the volume of the ball. cm.) Round your answer to the nearest tenth if necessary.​

Mathematics
1 answer:
Anestetic [448]2 years ago
8 0
To calculate the volume of a sphere you must use the formula
v=4/3pir^3

The radius (r) is half of the diameter
r=13.5

v=4/3pi13.5^3
v=10305.99

Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)
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Evaluate this power with a base that is a negative fraction. (−1/4 )^2
Tomtit [17]

\left(-\dfrac 1 4\right)^2 = (-1)^2 \cdot \dfrac{1}{4^2} = \dfrac{1}{16}

Answer: 1/16

6 0
3 years ago
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What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4
artcher [175]

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

6 0
3 years ago
Prove that:<br><br>cos20°cos40°cos80°=1/8​
Naya [18.7K]

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= \frac{1}{2sin20} (2sin20°cos20°)cos40°cos80°

= \frac{1}{4sin20} (2sin40°cos40°)cos80°

= \frac{1}{4sin20} (sin80°cos80° )

= \frac{1}{8sin20} (2sin80°cos80° )

= \frac{1}{8sin20} . sin160°

= \frac{1}{8sin20} . sin(180 - 20)°

= \frac{1}{8sin20} . sin20°

= \frac{1}{8} = right side , thus proven

7 0
2 years ago
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What is the answer to this question
Marat540 [252]

Answer:

48 units

Step-by-step explanation:

4 0
2 years ago
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Horatio is solving the equation -3/4+2/5x=7/20x-1/2. Which equations represent possible ways to begin solving for x? Check all t
trapecia [35]

Answer:

  • 2/5x=7/20x+1/4
  • -3/4=-1/20x-1/2
  • -3/4+1/20x=-1/2

Step-by-step explanation:

If you add 3/4 to both sides of the equation, you get ...

... 2/5x = 7/20x + 1/4 . . . . first choice

If you subtract 2/5x from both sides of the equation, you get ...

... -3/4 = -1/20x -1/2 . . . . third choice

If you subtract 7/20x from both sides of the equation, you get ...

... -3/4 +1/20x = -1/2 . . . . last choice

Choices 2 and 4 are erroneous versions of choices 1 and 3, so do not apply.

4 0
3 years ago
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