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Sergeu [11.5K]
3 years ago
11

I would greatly appreciate the help of these two questions!!Please hurry? :')

Mathematics
1 answer:
defon3 years ago
8 0

Answer:

b

Step-by-step explanation:

Δ QRP and Δ XRY are similar, thus ratios of corresponding sides are equal, that is

\frac{XY}{QP} = \frac{RY}{RP} , substitute values

\frac{XY}{4} = \frac{4}{8} ( cross- multiply )

8XY = 16 ( divide both sides by 8 )

XY = 2

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What is the volume of hemisphere with a radius of 8 ft rounded to the nearest tenth of cubic foot
patriot [66]

Answer:

1072.3ft^{3}

Step-by-step explanation:

A hemisphere is half of a sphere, so the volume V of the hemisphere is the volume of the sphere divided by 2.

V = (2/3)*\pir^{3}

   = (2/3)*\pi(8ft)^{3}

   = (2/3)*\pi*512ft^{3}

   = 1072.3ft^{3}

3 0
3 years ago
There’s a prime number less than 20 in numerical order
vivado [14]

Answer:

False

Step-by-step explanation:

All prime numbers between 1 and 20 are:

2, 3, 5, 7, 11, 13, 17, and 19.

None of these are in numerical order like 67.

3 0
4 years ago
Read 2 more answers
A) Work out (5 x 10^3)x(9 x 10^7)<br> Give your answer in standard form.
Marina86 [1]

Answer:

45000000000

Step-by-step explanation:

when multiplying exponents, you multiply base numbers with no exponent (9 and five in this case) and numbers with exponents (10 in this case). 9 X 5 is 45 and 10 to the power of 7 times 10 to the power of 2 is 10 to the power of 9 or 1000000000. 45 X 1000000000 is 45000000000.

8 0
3 years ago
Rob is making his special homemade barbecue sauce. His recipe calls for
sdas [7]
The answer to your question is 3 cups of ketchup. Hope this helps.
4 0
4 years ago
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent
alexandr402 [8]

Answer:

  • equivalent rate: 7.186%
  • compounded 16 times

Step-by-step explanation:

The equivalent interest rate is the rate that would have to be applied so it would earn the same amount in 1 year. It is computed from ...

  requiv = (1 +r/n)^n -1

  requiv = (1 +0.07/4)^4 -1 ≈ 7.186%

__

"Compounded quarterly" means interest is compounded 4 times per year. In 4 years, it will be compounded 4·4 = 16 times.

__

The balance in the account after 4 years is ...

  $600·(1 +.07/4)^(4·4) ≈ $791.96

6 0
3 years ago
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