9514 1404 393
Answer:
- 33.0 m
- 26.1 mi
- 28.0 mi
- 33.0 mi
Step-by-step explanation:
In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:
Find the missing angle. Find the side from ...
c = a·sin(C)/sin(A)
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1. angle A = 180°-89°-58° = 33°
c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m
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2. angle C = 180°-13°-17° = 150°
b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi
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3. angle A = 180°-61°-89° = 30°
c = (16 mi)sin(61°)/sin(30°) = 28.0 mi
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4. angle A = 180°-39°-127° = 14°
c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi
Answer:
VXY = 38 degrees
YXW = 19 degrees
Step-by-step explanation:
The line XY is a angle bisector, meaning it divides the angle in half. YXW is the angle between the XY and XW lines. Which we know is 19 degrees.
Since we know the XY line divides the angle in half, we know VXW is also 19 degrees.
Therefore, VXW would be the sum of VXY and YXW: 19 + 19 = 38.
Answer: 518.94 square centimeters
Explanation:
The surface area of the cube is given by
Surface Area = 6*(edge)²
Since the edge of the cube in this problem is its length, the egde is 9.3 cm. Hence, the surface area of the cube is calculated as
Surface Area = 6*(edge)²
= 6*(9.3 cm)²
Surface Area = 518.94 square centimeters
