<span>For problem 8:
sin A/a sinB/b = sinC/c
so sin50/15 = sinB/12
0.766/15 =sinB/12
0.051066 = sin B/12
sin B = 0.6128
B = 37.79 degrees
sum of angles must equal 180 deg therefore C = 180-50-37.79 = 92.21 degrees and .766/15 = sin92.21/c
.051066= 0.99925/c
c = .99925/0.051066 = 19.567
Problems 9 and 10 can also be done with the same method as problem 8.
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A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
Answer:
y = x(4+z)+6
y-6 = x(4+z)
x=(y-6)/(4+z)
Step-by-step explanation:
Answer: 7 inches
Step-by-step explanation:
If x is the first piece, and the second piece is twice as long, then the second piece is 2x.
If the third piece is three times as long as the first piece, x, then the third piece is 3x.
The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.
42 = x + 2x + 3x
42 = 6x
42 = 6x
7 = x
The first piece is 7 inches long.
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Answer:
Angles are named in two ways. You can name a specific angle by using the vertex point, and a point on each of the angle's rays. The name of the angle is simply the three letters representing those points, with the vertex point listed in the middle. You can also name angles by looking at their size.
Step-by-step explanation:
