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Citrus2011 [14]
3 years ago
10

A tennis ball has a radius of 6.7 centimeters. What is the volume of a tennis ball? Use 3.14 for pi. Round your answer to the ne

arest hundredth. (4 points)
Group of answer choices

157.48 cm3

1259.19 cm3

4188.79 cm3

9634.08 cm3
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

Step-by-step explanation:

A tennis ball is a sphere

Volume of a sphere ===> v= \frac{4}{3} \pi r^3  

Plug in the given info  

v= \frac{4}{3} (3.14) (6.7)^3  

Do the math to get a final answer of:  

v= \frac{4}{3} (3.14) (6.7)^3=1259.19cm^3  

Click to let others know, how helpful i

pls mark me the brainliest

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ryzh [129]

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

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3 years ago
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One number is four less than a second number. Three times the first is 13 more than 4 times the
Gala2k [10]

Answer:

sup

Step-by-step explanation:

5 0
2 years ago
2. The number of atoms of a particular chemical element is modelled by
____ [38]

9514 1404 393

Answer:

  a) 600

  b) see below

  c) 1.26 hours

Step-by-step explanation:

a) The value of y when x=0 is the coefficient of the exponential term:

  y = 600·3^(-0) = 600·1 = 600

There were 600 atoms to start.

__

b) see attached for a graph

__

c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.

If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.

  150 = 600·3^(-x)

  150/600 = 3^(-x)

  log(1/4) = -x·log(3)

  x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595

After about 1.26 hours, there were 150 atoms.

6 0
3 years ago
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200 square units. She places a circle in th
Katarina [22]

Answer:

D

Step-by-step explanation:

To find the percentage we must first find the area of the circle:

We can find the radius of the circle using the distance formula;

⇒ d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

⇒ r = \sqrt{(6.3 - 0)^{2} + (1.6 - 0)^{2}}

⇒ r = 6.5

Now we calculate the area;

⇒ A = \pi r^{2}

⇒ A = \pi (6.5)^{2}

⇒ A = \frac{169}{4}\pi

To get the percentage we divide the area of the circle by the square’s are and multiply by 100;

⇒ Percentage = \frac{42.25\pi }{200} * 100

⇒ Percentage = 66 (2sf)

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2 years ago
Match the equations with their solutions over the interval [0, 2π].
nignag [31]

I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

cos(x)tan(x) – ½ = 0 → π/6 and 5π/6

cos(π/6)tan(π/6) – ½ = 0

cos(5π/6)tan(5π/6) – ½ = 0

 

sec(x)cot(x) + 2 = 0 → 7π/6 and 11π/6

sec(7π/6)cot(7π/6) + 2 = 0

sec(11π/6)cot(11π/6) + 2 = 0

 

sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

sin(3π/4)cot(3π/4) + 1/sqrt2 = 0

sin(5π/4)cot(5π/4) + 1/sqrt2 = 0

 

csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

csc(π/3)tan(π/3) – 2 = 0

csc(5π/3)tan(5π/3) – 2 = 0

5 0
3 years ago
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