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victus00 [196]
3 years ago
15

A hollow ball is made of rubber that is 1 centimeter thick. The ball has a radius of 5 centimeters at the outside surface.

Mathematics
2 answers:
serious [3.7K]3 years ago
4 0
Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.

The <span>approximate volume of rubber used to make the ball is given by the volume of the ball at the outside surface minus the volume of the ball at the inside surface.

i.e.
</span>
<span>Volume\ of\ rubber= \frac{4}{3} \pi\left(5^3-4^3\right) \\  \\ = &#10;\frac{4}{3} \pi(61)= \frac{244}{3} \pi\approx255.5\ cm^3</span>
kirill115 [55]3 years ago
3 0

Answer: I got the same answer. It's 255.4 cm3

Step-by-step explanation:

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in a state with a population of 2000000 the average vitizen spends 6000 on housing each year. what is the total spent on housing
Olenka [21]

Answer:

1.2 \times 10^{10} spents on housing for each year for the state.

Step-by-step explanation:

Given:

Population of State = 2000000

Average Citizen spends on housing = 6000

We need to find total spent on housing for the state.

For finding total spent on housing for state we need to multiply Population of state with average citizen spends on housing.

Total spent on housing for state = Population of State \times Average Citizen spends on housing = 2000000 \times 6000 = 12000000000

Now expressing the above in scientific notation we get;

Total spent on housing for state = 1.2 \times 10 ^{10}

7 0
3 years ago
Simplify the following expression (3x^2y)^3
kolezko [41]

Answer:

\large\boxed{\left(3x^2y\right)^3=27x^6y^3}

Step-by-step explanation:

\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3

6 0
3 years ago
Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)​
Mashutka [201]

Answer:

  • 18u + 2 + 5/(u - 8)

Step-by-step explanation:

  • (18u^2 - 142u - 11) ÷ (u - 8)​

  • 18u^2 - 142u - 11 =
  • 18u^2 - 8*18u + 2u - 11 =
  • 18u(u - 8) + 2u - 16 + 5 =
  • 18u(u - 8) + 2(u - 8) + 5 =
  • (18u + 2)(u - 8) + 5

  • (18u^2 - 142u - 11) ÷ (u - 8)​  = 18u + 2 + 5/(u - 8)
6 0
3 years ago
Read 2 more answers
HELP ILL GIVE U BRAINLESS I NEED THIS ANSWER FAST! I’ll make u art tol
lapo4ka [179]

1: 80% The reason why is because if you do 4/5, you get .80, move the decimals to places to the right, and you get 80%

2: 95% Process of Elimination, and Educated Guess.

3: 33 1/3% If you do 50/150, you get 0.33333... Like I said, move the decimal point two places to the right, and you get 33.33...%

<em>I hope this helps, and Happy Holidays! :)</em>

4 0
3 years ago
A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commissi
nydimaria [60]

Answer:

Step-by-step explanation:

1/10=0.1

if the total sales is  26,000

the commission will be 26,000*0.1=2,600 dollars

3 0
3 years ago
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