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3 years ago

URGENT URGENT URGENT Find the value of x.

Mathematics

1 answer:

Alja [10]3 years ago

4 0

Answer:

x = 5.

Step-by-step explanation:

x is the radius of the circle.

The line of length 4 bisects the chord of length 6 into 2 line segments of length 3.

If we draw a line from the centre to where the chord of length 6 meets the circle we have another radius.

This is also the hypotenuse (h) of a right triangle, so we have a right triangle whose legs are 3 and 4, then:

h^2 = 4^2 + 3^2 = 25

h = 5

x = 5 (as x and h are both radii).

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wlad13 [49]

set up an equation for the perimeter

l = length w = width

2l + 2w = 64

set up another equation as you know the length is 3 times the width

w = 3l

subsitute w = 3l into the 2l + 2w = 64

2l + 2(3l) = 64

solve for l

2l + 6l = 64

8l = 64

length = 8

subsitute into w = 3l

w = 3(8)

width = 24

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$\bf \begin{array}{lllll}
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\\\\\\
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