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tatiyna
3 years ago
5

The equation of a circle is given below.

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

The center of the circle is (2/3, 0) and radius is ±6units

Step-by-step explanation:

Given the equation of a circle given as shown;

(x-2/3)²+y² = 36

To get the radius and centre of the circle, we will compare the equation with the general equation of a circle given as;

(x-a)²+(y-b)² = r² where (a, b) is the centre of the circle and r is the radius.

Comparing with the given equation,

we will see that;

a = 2/3, b = 0 and r² = 36

If r² = 36

r = ±√36

r = ±6

This shows that the center of the circle (a, b) = (2/3, 0) and radius is ±6

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steposvetlana [31]
I got you hun!

27= 3x is the equation you will need

27 is the total the coach needs making it the total. Since each pack comes with 3 you will mutiply the amount of pack, or x, by 3. 

X=9 

we know this because if you divide 3 by 27 to get it on the other side we get 9. This means the coach needs to buy 9 packs of baseballs for the team.

27=3(9) 

Hope this helps!


5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2
guapka [62]

Step-by-step explanation:

\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)

Use the identity

\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}

on the left side.

\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)

Now use the identity

\sin \theta = \cos(\frac{\pi}{2} - \theta)

on the left side.

\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)

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2 years ago
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Step-by-step explanation:

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german

Answer: See explanation

Step-by-step explanation:

Here is the remainder of the question:

a. Who has more money after the first additional deposit? Explain.

b. Who has more money after the second additional deposit?

a. Amount put in savings account = $300

Leroi's amount after first week = $300 + $60 = $360

Sylvia's amount after first week = $300 + (20% × $300) = $300 + (0.2 × $300) = $300 + $60 = $360

They both have equal amount after the first week.

b. After the second deposit,

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Sylvia's saving = $360 + (20% × $360) = $360 + $72 = $432

Sylvia has more savings after the second week

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