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Olin [163]
3 years ago
13

In the diagram below, ΔABC is inscribed in circle P. The distances from the center of circle P to each side of the triangle are

shown.
Answer the following questions:
What is the length of the radius of the circle shown?
What is the length of AB and AC?

Mathematics
1 answer:
4vir4ik [10]3 years ago
5 0
Supposing the sides with 6 and 8 is a right angle, you can create a new line from C and P, and find the length using the equation of a²+b²=c² or 6²+8²=c², with c equaling the radius of the circle.

After finding c, you will have to find the length from C to the midpoint of AC, using the same equation a²+b²=c². If both the lengths of C to the midpoint of AC, and A to the midpoint of AC are equal, you can do b+b to find the length of AC.

Using the same approach, you can find AB. Hope this makes sense, if not, I can clarify more.
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The measure of angle A is 30 and the measure of angle B is 124 . What is the measure of angle C in degrees?
professor190 [17]

Answer: 26


124 + 30 = 154

180 - 154 = 26


7 0
3 years ago
Which binomial is a factor of49x^2+84xy+36y^2
Alex17521 [72]

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

3 0
3 years ago
Jade is thinking of a number. 3/4 of 200 is the same as 1/8 of her number. What number is she thinking of?
lorasvet [3.4K]

Answer:

1200

Step-by-step explanation:

3/4 of 200 = 150

150 is 1/8 of 1200

5 0
3 years ago
Read 2 more answers
What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over
soldi70 [24.7K]

The range of the provided inverse sine function in terms of <em>x</em>, and <em>y </em>y = sin-1x is [-π/2, π/2].

<h3>What is the range of the function?</h3>

Range of a function is the set of all the possible output values which are valid for that function.

The trigonometry function given in the problem is,

y = \sin^{-1}x

The above function can be written as,

\sin y = x

The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.

-1\leq x\leq1

This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,

-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}

Thus, the range of the provided inverse sine function in terms of <em>x</em>, and <em>y </em>y = sin-1x is [-π/2, π/2].

Learn more about the range of the function here;

brainly.com/question/2264373

7 0
2 years ago
What system of linear inequalities is shown in the graph?<br><br> Enter your answers in the boxes.
Kobotan [32]
Y > = -1/2x + 2
y > 2x - 3
4 0
3 years ago
Read 2 more answers
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