Answer:
Area =100 in^2
Step-by-step explanation:
scale factor of the triangles is :15/21=5/7
if two similar shape has a scale factor a/b then the area is a^2:b^2
area of first shape/area of second shape=5/7
x/196=(5)²/(7)²
49x=4900
x=4900/49=100
area=100
check: 100/196=25/49=a^2/b^2
i hope it is right
The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)
This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B
If we let
A = π / 5
B = π / 7
Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)
Answer:
11
Step-by-step explanation:
You replace all the x with 12 when its f(12). if its f(3) you would replace all the x with 3.
So,
f(12)=2/3(12)+3
f(12)=8+3
f(12)=11
If 2+3/4 hours is equal to 1+5/5 equal length shift then the single shift is 1.5 hours long.
Given that Paolo helped in the community garden for 2 +3/4 hours this week which is 1+5/6 times length shift.
We are required to find the length of a single shift.
First we have to find the proper fraction of the given mixed fractions.
Fraction is combination of numerator and denominator.The number that is present above the division sign is known as numerator and the number that is present below the division sign is known as denominator.
2+3/4=(8+3)/4=11/4
1+5/6=(6+5)/6=11/6
let the length of a shift is x hours.So,
11/4=11*x/6
11/4=11/6 x
66/44=x
x=3/2
x=1.5 hours.
Hence if 2+3/4 hours is equal to 1+5/5 equal length shift then the single shift is 1.5 hours long.
Learn more about fractions at brainly.com/question/78672
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