<em>Length of side YZ to the nearest tenth is 16 ft</em>
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To solve this question we would use the sine rule. The sine rule states that
<u>A/sin a = B/sin b</u>
if we take our angle a to be XZY, and b to be ZXY.
Going by angles in a triangle, ZXY = 180 - 90 - 35 = 55. This means that our angle b is 55º
applying the sine rule, we have
11/sin 35 = B/sin 55
11/0.5736 = B/0.8192, if we cross multiply, we have
B = (11 * 0.8192)/0.5736
B = 9.0112/0.5736
B = 15.7 ft
learn more about sine rule here brainly.com/question/9599008
9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
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1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
Answer:
C = 
Step-by-step explanation:
given A varies directly as B and inversely as C then the equation relating them is
A =
← k is the constant of variation
to find k use the condition A = 6 , B = 10 , C = 15 , then
6 =
( multiply both sides by 15 )
90 = 10k ( divide both sides by 10 )
9 = k
A =
← equation of variation
when A = 92 and B = 107 , then
92 =
( multiply both sides by C )
92C = 963 ( divide both sides by 92 )
C = 
Answer:
Each number is called a factor
Step-by-step explanation:
The multiplication of two numbers is equivalent to adding as many copies of one of them
Answer:
orientation is preserved (stays the same)
Step-by-step explanation: