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Roman55 [17]
3 years ago
12

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle.

Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

x = 9.8

Step-by-step explanation:

(please refer to attached)

after labeling the picture with all the known information, we can see that

OF = OR = Radius of the circle     -----(eq 1)

Consider triangle OFP,  by Pythagorean theorem,

OF² = PF²+OP²

r² = 11.5² + 11²

r² = 253.25  -----(eq 2)

Consider triangle ORQ,  by Pythagorean theorem,

OR² = RQ²+OQ²

r² = 12.5² + x²

r² = 156.25 + x²  ----(eq 3)

equating (eq 2) and (eq 3)

253.25 = 156.25 + x²    

x² = 253.25 - 156.25

x² = 97

x = √97

x = 9.8  (nearest tenth)

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2 years ago
you randomly choose a shirt off the shelf. there is 4 blue shirts 2 black shirts and 2 green shirts and 1 white shirt and 1 red
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2 out of 10

Step-by-step explanation:

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1. Donnie owes his mother $54.92. She told him he has 4 weeks to pay her
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2 years ago
Read 2 more answers
3[x + 3(4x – 5)] = 15x – 24
Alex17521 [72]

Answer:

\boxed{ \bold{ \huge{ \boxed{  \sf{x = 0.875}}}}}

Step-by-step explanation:

\sf{3[ x + 3(4x - 5)]  = 15x - 24}

Distribute 3 through the parentheses

⇒\sf{3[ x + 12x - 15 ]  = 15x - 24}

Collect like terms : 12x and x

⇒\sf{3[ 13x - 15 ]  = 15x - 24}

Distribute 3 through the parentheses

⇒\sf{39x - 45 = 15x - 24}

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒\sf{39x - 15x =  - 24 + 45}

Collect like terms

⇒\sf{24x =  - 24 + 45}

Calculate

⇒\sf{24x = 21}

Divide both sides of the equation by 24

⇒\sf{ \frac{24x}{24}  =  \frac{21}{24}}

Calculate

⇒\sf{x = 0.875}

Hope I helped!

Best regards! :D

5 0
3 years ago
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