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tester [92]
3 years ago
5

Geometry Help Please?

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0
Divide the two known corresponding sides: JK/AB = 18/12 = 3/2 = 1.5
So the sides of triangle JKL are 1.5 (one and a half) times bigger than the corresponding sides for triangle ABC

1.5 is the linear scale factor

This extends to the perimeter as well: 
perimeter of JKL = 1.5*(perimeter of ABC)
perimeter of JKL = 1.5*28
perimeter of JKL = 42 feet

It turns out that since the linear scale factor is 1.5, this means the area scale factor is (1.5)^2 = 2.25
The new area is found by multiplying the old area by 2.25

area of JKL = 2.25*(area of ABC)
area of JKL = 2.25*18
area of JKL = 40.5

----------------------------------------------------------------------------------------

In summary:
Perimeter of JKL = 42 feet
Area of JKL = 40.5 square feet
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3 0
1 year ago
The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool
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Answer:

The equation of the circle is;

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Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

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h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

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3 years ago
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Answer: it is 1.8

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