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Sergio [31]
3 years ago
7

The radius of a circle is 15 inches. A chord is drawn 4 inches from the center of the circle. How long is the chord?

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Let X represent the length of the chord.

By using Pythagoras' Theorem:

4^2 + (X/2)^2 = 15^2

(X^2)/4 = 209

X^2 = 836

X = 28.91

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muminat

Answer: 1500

Step-by-step explanation:

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3 years ago
|3x-7|-7=x solve the equation for all values of x
romanna [79]

The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

<h3>What are the solutions to the given equation?</h3>

Given the equation in question;

|3x-7| - 7 = x

First, add 7 to both sides.

|3x-7| - 7 + 7 = x + 7

|3x-7|  = x + 7

Next, remove the absolute value term, this creates a ± on the right side of the question.

|3x-7|  = x + 7

3x-7  = ±( x + 7 )

The complete solution is the result of both the negative and positive portions of the solution.

For the first solution, use the positive of ±.

3x-7  = ( x + 7 )

3x - 7  =  x + 7  

3x - x = 7 + 7

2x = 14

x - 14/2

x = 7

For the second solution, use the negative of ±.

3x-7  = -( x + 7 )

3x-7  = -x - 7

3x + x = -7 + 7

4x = 0

x = 0/4

x = 0

Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.

Learn to solve more equation involving absolute value term here: brainly.com/question/28635030

#SPJ1

4 0
1 year ago
a survey of students in a school showed 1/2 of the students exercise regularly, 2/5 of the students exercise occasionally and th
Sveta_85 [38]

Answer:

1/10

Step-by-step explanation:

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make it so they have the same denominator

2/5 = 4/10

1/2 = 5/10

4/10 + 5/10 = 9/10

1=10/10

10/10-9/10 = 1/10

so 1/10 of the students don't exercise at all

5 0
4 years ago
Find the x-intercepts of the following polynomial function''<br> f (x) = x^2 - 2x - 80
pychu [463]

Answer:

(-8 , 0)

(10 , 0)

Step-by-step explanation:

(-8)^2 - 2(-8) - 80 = 0

(10)^2 - 2(10) - 80 = 0

then (-8 , 0) and (10 , 0) are x-intercepts Of the polynomial f

the others are not because (for instance):

(8)^2-2(8)-80 =

:)-32

7 0
4 years ago
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