3 years ago

Given the equation of the circle, identify the coordinates of the center. (x+2)2+(y-6)2=49

Mathematics

1 answer:

sveta [45]3 years ago

3 0

Answer:

(-2, 6)

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

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

In this case, the center is (-2, 6).

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about 7.5 gallons of water fill up 1 cubic foot of space. how many gallons of water will fill a goldfish pool shaped like the pr

Murrr4er [49]

The volume of the goldfish pool is V= 0.5ft x 1.5ft x 3ft=2.25 ft^3
so 7.5gallons ----------> 1 ft^3
x=? <----------- 2.25 ft^3
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the answer is 16.87 gallons of water

3 0

3 years ago

1. The temperature was 80 ℉ in Arizona and then fell 20 ℉ during the night.

notsponge [240]

Answer:

1. 60 F 2. -6 F

Step-by-step explanation:

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8 0

3 years ago

The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as

9966 [12]

Solution:

Given;

$\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}$

Using the identities;

Thus;

$\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\ \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}$

CORRECT OPTION: A