Answer:
1. 0.5454
2. 8
3. 0.6785
4. 1.1428
5. 6
6. 1.5
7. 1.75
8. 1.6666
Step-by-step explanation:
calculator :)
The angle is 127°, so the Pythagorean theorem does not apply.
Generally, you would use the Law of Cosines to solve for the third side when given two sides and the angle between them.
EF^2 = 7^2 +15^2 -2*7*15*cos(127°)
EF ≈ √(400.3812) ≈ 20.00953
My guess is that you're expected to use 20 for the length of the 3rd side.
By Heron's formula, s = (7 +15 +20)/2 = 21
Area = √(21*(21 -7)*(21 -15)*(21 -20)) = √(21*14*6*1) = √1764 = 42 . . . . yd^2
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More directly,
.. Area = (1/2)*7*15*sin(127°) ≈ 41.928 . . . . yd^2
The answer is 51.3
Explanation:
You’re finding angle Y, so write the SOH CAH TOA. the two sides your are given are the adjacent side to Y and the opposite side so you use tangent. You then get the equation tanY=10/8 Since you’re finding an angle you use inverse tangent so you get y=tan^-1(10/8) and then put that into the calculator!
The surface area is the entire area of the rectangular prism so all u do is divide the number of sides up by 96 and label the prism.