Answer:
11.6 feet
Step-by-step explanation:
-ΔKLM is a right angle triangle.
-The missing ∠K=90-31=59° and it corresponds to length LM
-We apply the Law of Sines to determine the length LM:
![\frac{a}{Sin \ A}=\frac{b}{Sin \ B}\\\\\frac{LM}{Sin \ 59\textdegree}=\frac{7}{Sin\ 31\textdegree}\\\\LM=\frac{7\ Sin 59\textdegree}{Sin \ 31 \textdegree}\\\\=11.65\approx11.6\ ft](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BSin%20%5C%20A%7D%3D%5Cfrac%7Bb%7D%7BSin%20%5C%20B%7D%5C%5C%5C%5C%5Cfrac%7BLM%7D%7BSin%20%5C%2059%5Ctextdegree%7D%3D%5Cfrac%7B7%7D%7BSin%5C%2031%5Ctextdegree%7D%5C%5C%5C%5CLM%3D%5Cfrac%7B7%5C%20Sin%2059%5Ctextdegree%7D%7BSin%20%5C%2031%20%5Ctextdegree%7D%5C%5C%5C%5C%3D11.65%5Capprox11.6%5C%20ft)
Hence, LM has a length of 11.6 feet.
Answer: A,C, and F
Step-by-step explanation:
Answer:
9,12?
Step-by-step explanation:
Answer:
7,470
Step-by-step explanation:
<u>Step 1: Convert all into inches</u>
1 feet = 12 inches
2 feet = x inches
<em>Cross multiply</em>
x = 24 inches
1 yard = 36 inches
13 yard = x inches
<em>Cross multiply</em>
x = 468 inches
<u>Step 2: Add all inches together</u>
24 + 468 + 6 = 498 inches
<u>Step 3: Multiply by 15</u>
498 x 15 = 7,470
Therefore, the answer is 7,470.
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