Use SOHCAHTOA. Since we are looking for the hypotenuse, you must use sine or cosine. Since, we are given the adjacent side, use cosine.
cosx=a/h
cos45=8/h
√2/2=8/h
<em>*Cross multiply*</em>
h√2=16
<em>*Divide both sides by √2*</em>
h=16/√2
<em>*Multiply by √2/√2*</em>
h=(16√2)/2
<em>*Simplify the fraction*</em>
h=8√2
Hope this helps!!
Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
37:prime 65:composite 71:composite 82:composite
Answer:
Step-by-step explanation:
1) Find the common denominator.
2) Multiply everything by the common denominator.
3) Simplify.
4) Check the answer(s) to make sure there isn't an extraneous solution.
Answer:
22/3 = 7.33
Step-by-step explanation:
