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Over [174]
3 years ago
13

An awning is in the form of an arc 6 inches high and 72 inches wide. Find the radius of the circle containing the arc.

Mathematics
1 answer:
Ainat [17]3 years ago
3 0

Answer:

  • 111 in

Step-by-step explanation:

Let the remainder of the diameter is x.

<u>Use the intersecting chords theorem:</u>

  • 6*x = (72/2)*(72/2)
  • 6x = 1296
  • x = 216

<u>The diameter:</u>

  • d = 6 + x = 6 + 216 = 222 in

<u>The radius:</u>

  • r = 222/2 = 111 in

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3 years ago
Given that <br> y<br> = 10 cm and <br> θ<br> = 55°, work out <br> x<br> rounded to 1 DP.
ElenaW [278]

Answer:

x=8.2

Step-by-step explanation:

First, figure out which trig function you are going to use.

In this problem you are dealing with the opposite side to the angle and the hypotenuse, and if you remember SOH CAH TOA, this requires sine.

sin (55) =opposite/hypotenuse

sin (55) =x/10

multiply both sides by 10 to get 10 * sin (55) = x

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5 0
3 years ago
Solve x2 - 8x = 20 by completing the square. Which is the solution set of the equation?
Artyom0805 [142]

Answer:

{-2,10}

Step-by-step explanation:

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-8

Divide by 2

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Add this to each side

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Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4±6

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x = 4+6       x = 4-6

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3 0
4 years ago
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elena-14-01-66 [18.8K]
(x,y)
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west is a decrease in x
north is an increase in y
south is a decrease in y

so
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5 blocks north (y+5)

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minus 3 from  and add 4 to y
(1,-2)
(1-3,-2+4)
(-2,2) is the dropoff point
8 0
3 years ago
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