Answer:
Hypotenuse MN = 10.54 ft (Approx.)
Step-by-step explanation:
Given:
Base OM = 9.6 ft
Angle θ = 13'
Find:
Hypotenuse MN
Computation:
Using trigonometry function
Cos θ = Base / Hypotenuse
Cos 13 = 9.6 / Hypotenuse
0.97 = 9.6 / Hypotenuse
Hypotenuse MN = 10.54 ft (Approx.)
Answer:
280
Step-by-step explanation:
1514-1234 = 280
Using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°
First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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1 fourth which as a fraction would look like:
1
-
4