Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b)
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
Answer:
Step-by-step explanation:
Given:
Composite Function:
Also,
To find:
Solution:
First of all, let us learn about a composite function.
Composite function means to write
in place of
in the function
.
Let
So, =
.
Therefore,
So,
We have to solve for in terms of
to find the value of
:
Hence, the answer is .
Checking whether the answer is correct or not:
which is .
Hence, our answer is correct.
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