2 years ago

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]2 years ago

3 0

Answer:

111 in

Step-by-step explanation:

Let the remainder of the diameter is x.

Use the intersecting chords theorem:

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

The diameter:

d = 6 + x = 6 + 216 = 222 in

The radius:

r = 222/2 = 111 in

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4(PX+1)=64 what is the value of x in terms of p and what is the value of x when p is -5 ?

Oksana_A [137]

Answer:

x = -3

Step-by-step explanation:

$4(PX+1)=64\\\\p= -5$

Substitute -5 for p in the given equation and solve

$4(-5(x)+1)=64\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4\left(-5x+1\right)}{4}=\frac{64}{4}\\\\Simplify\\-5x+1=16\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\-5x+1-1=16-1\\\\Simplify\\-5x =15\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5x}{-5}=\frac{15}{-5}\\\\Simplify\\x = -3$