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3 years ago

The area of a kite is 116.25 ft2, one diagonal measures 18.6 ft, find the measure of the other diagonal.

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

Answer:

The answer is 12.5 feet

Step-by-step explanation:

A kite is in the shape of a Rhombus.

The surface of a Rhombus is calculated using the following formula:

$A=p*q/2$

A is the surface and we know it's 116.25 ft2

p is one diagonal and we know it's 18.6 ft

q is the diagonal we do not know

So, we get:

$116.25=18.6*q/2$

we can then calculate

$2*116.25=18.6*q$

that is:

$232.50=18.6*q$

therefore the other diagonal q is:

q=232.50/18.6

q=12.5

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3 years ago

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olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

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We need to find the equation of the tangent line to the curve at the point (-3, 1).

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$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

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Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

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$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

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Add 1 on both sides.

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Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

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Answer:

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