In ΔKLM, the measure of ∠M=90°, the measure of ∠K=36°, and LM = 6.2 feet. Find the length of KL to the nearest tenth of a foot.

10.5 feet

Step-by-step explanation:

SOH-CAH-TOA

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{6.2}{x}

sinK=

hypotenuse

opposite

​

=

x

6.2

​

\sin 36=\frac{6.2}{x}

sin36=

x

6.2

​

x\sin 36=6.2

xsin36=6.2

Cross multiply.

\frac{x\sin 36}{\sin 36}=\frac{6.2}{\sin 36}

sin36

xsin36

​

=

sin36

6.2

​

Divide each side by sin 36.

x=\frac{6.2}{\sin 36}=10.5481\approx 10.5\text{ feet}

x=

sin36

6.2

​

=10.5481≈10.5 feet

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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