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marin [14]
3 years ago
10

Find the missing side lengths

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Answer:

y = 9√3

x = 18

Step-by-step explanation:

taking 30 as reference angle

b = y

p = 9

h = x

so

tan30 = p/b

1/√3 = 9/b

or, b = 9√3

so

h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18

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Answer:

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Step-by-step explanation:

Since there is no slope, there is no need for a y variable to appear in your final equation. The graph will cross y = -8 horizontally. So therefore, x = -8

This is a pretty short explanation, but there's not too much to it. Hope this helped :)

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Given the center of a circle as ( 1, -1 ) and a point on the circle at (4 , 2). Write the equation of the circle. *
Andru [333]

Answer:

(x − 1)² + (y + 1)² = 18

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.

The center is (1, -1), so plugging that in:

(x − 1)² + (y + 1)² = r²

A point on the circle is (4, 2), so plugging that in:

(4 − 1)² + (2 + 1)² = r²

18 = r²

Therefore, the equation is:

(x − 1)² + (y + 1)² = 18

7 0
3 years ago
If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =
s2008m [1.1K]

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

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To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

(7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

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I don't think that is a prism...
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