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crimeas [40]
2 years ago
10

Find the values of the variables.

Mathematics
1 answer:
8_murik_8 [283]2 years ago
5 0

Answer:

x = 16  y = 22.627 (or 16\sqrt{2)

Step-by-step explanation:

cos(45) = 16/y

y = 16/cos(45)

y = 22.627

tan(45) = 16/x

x = 16/tan(45)

x = 16

*this can also be found because we know this is a right triangle with two angles of 45 degrees. This means that both sides will be equal so x will be 16 and the diagonal will be 16 root 2 (22.627)

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Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the
KonstantinChe [14]

Answer:

The center of the circle is

(-\frac{3}{2},2)

Step-by-step explanation:

Let the equation of the circle be

x^2+y^2+2ax+2by+c=0, where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

\implies c=0

B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

\implies -6a+c=-9

But c=0

\implies -6a=-9

\implies a=\frac{3}{2}

C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

1+4+2a+4b+c=0

2a+4b+c=-5

Put the value of 'a' and 'c' to find 'b'

2(\frac{3}{2})+4b+0=-5

3+4b+0=-5

4b=-5-3

4b=-8

b=-2

Hence the center of the circle is

(-\frac{3}{2},2)

8 0
3 years ago
liam deposits $2400 into an account that earns 8.3% interest compounded quarterly. how much money will liam have in 5 years.
Harlamova29_29 [7]

Answer:

Total = 2,400 * (1 + (.083/4))^4*5

Total = 2,400 * (1.02075)^20

Total = 2,400 * 1.5079528829

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
If 5 out of 30 students scored an A on a quiz.what percent did not get an A on the quiz?Round to the nearest whole percent.
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Answer:

83 %

Step-by-step explanation:

If 5 out of 30 got an A, that means that

30 -5 = 25

25 out of 30 did not get and A

25/30 = .8333333 = 83.33333 %

Rounding to the nearest whole percent

83 %

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1 year ago
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Arlecino [84]

Answer:

Step-by-step explanation:

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2 years ago
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