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meriva
3 years ago
15

What would be the circumference of a circle with a radius of 5?

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer: 10pi

Step-by-step explanation:

C = 2(pi)r

r = 5

2*(pi)*5 = C

10pi = C is the exact answer

If we make 3.14 for the pi substitution, then:

2*3.14*5=C

31.5 = C

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Step-by-step explanation:

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Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
Simplify the product using the distributive property.
andrew11 [14]

Answer:

16h^2-4h-42

Step-by-step explanation:

4h times 4h is 16h^2

4h times -7 is -28h

4h times 6 is 24h

6 times -7 is -42

Combine like terms to get 16h^2-4h-42

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3 years ago
A student finished a 30 question test in 75 minutes. Which rate best represents the relationship between the number of minutes s
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Answer:

2.5 minutes per quesiton

Step-by-step explanation:

75 minutes to take 30 quesitons means you divide the time equally so

75/30

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3 years ago
Find the eighth term of the
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Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio, hence

a_{8} = 6 × (-1/3)^{7} = 6 × - \frac{1}{3^{7} } = 6 × - \frac{1}{2187} = - \frac{2}{729}

7 0
3 years ago
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