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3 years ago

Given that JL is perpendicular KL and KH is congruent HL, find KL

Mathematics

2 answers:

Vlad [161]3 years ago

8 0

Answer:

KL = 7.8

Step-by-step explanation:

KH = HL

KH + HL = KL

3.9 + 3.9 = 7.8

avanturin [10]3 years ago

7 0

Answer:

$KL=7.8$

Step-by-step explanation:

We have been given a kite. We are asked to find the length of segment KL.

We are told that KH is congruent HL.

We can see that length of KL is equal to KH plus HL.

$KL=KH+HL$

$KL=KH+KH$

$KL=2KH$

$KL=2(3.9)$

$KL=7.8$

Therefore, the length of KL is 7.8 units.

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Answer:

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Step-by-step explanation:

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3 years ago

Cos(theta) = - 3/4 and is in the 3rd quadrant, find the following:

elena-14-01-66 [18.8K]

Answer:

$\begin{gathered} sin(\theta)=\frac{-\sqrt{7}}{4} \\ cos(\theta)=-\frac{3}{4} \\ tan(\theta)=\frac{\sqrt{7}}{3} \\ csc(\theta)=-\frac{4}{\sqrt{7}} \\ sec(\theta)=-\frac{4}{3} \\ cot(\theta)=\frac{3}{\sqrt{7}} \end{gathered}$

Step-by-step explanation:

If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:

Solve for the missing leg of the triangle, using the Pythagorean theorem:

$\begin{gathered} \text{ adjacent}^2+\text{ opposite}^2=\text{ hypotenuse}^2 \\ -3^2+\text{ opposite}^2=4^2 \\ \text{ opposite=}\sqrt{16-9} \\ \text{ opposite=}\sqrt{7} \end{gathered}$

Therefore, for the trigonometric relationships:

$\begin{gathered} \text{ sin\lparen}\theta)=\frac{opposite}{hypotenuse} \\ \text{ cos\lparen}\theta)=\frac{adjacent}{hypotenuse} \\ tan(\theta)=\frac{opposite}{adjacent} \\ csc(\theta)=\frac{hypotenuse}{opposite} \\ sec(\theta)=\frac{hypotenuse}{adjacent} \\ cot(\theta)=\frac{adjacent}{opposite} \end{gathered}$

Now, substitute and solve for the relations:

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