Answer:
#1
<u>Sum of interior angles is 180:</u>
- y = 180 - (42 + 31) = 107
<u>The law of sines:</u>
- x / sin 107 = 11 / sin 42
- x = 11 sin 107deg / sin 42deg
- x = 15.72
#2
<u>The law of cosines:</u>
- cos 76 = (6² + 17² - x² )/2(6)(17)
- 204*0.24 = 325 - x²
- x² = 325 - 48.96
- x² = 276.04
- x = √276.04
- x = 16.61
#3
<u>Same as above:</u>
- 2*9.4*10*cos 20 = (10² + 9.4² - x²)
- 176.66 = 188.36 - x²
- x² = 188.36 - 176.66
- x² = 11.7
- x = √11.7
- x = 3.42
#4
<u>Sum of interior angles is 180:</u>
<u>The law of sines:</u>
- x / sin 34 = 15 / sin 94
- x = 15 sin 34 / sin 94
- x = 8.41
Answer: 17/3
Decimal Form Answer: 5.666667
Step-by-Step:
Add 2/3+5 and get your answer 17/3
Answer:
- 3
Step-by-step explanation:
Differentiate f(x) using the power rule
(a
) = na
Given f(x) =
= 3
, then
f'(x) = - 3
= - 
f'(1) = -
= - 3
Answer:
64
Step-by-step explanation:
So I think you mean area is 1/2(bh) meaning half of the base times height so the height is 4 and the base is 32 so you can half either the base or the height to get 2x32=64 or 4x16=64 which are the same.
So 64 will be the area of a triangle
(tip: think of a triangle like that as half of a rectangle)