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1 answer:
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m∠B = 31.7° , a = 21.1 ft , b = 13.0 ft
Step-by-step explanation:
If ABC is a right triangle, where the right angle is B, then
- The hypotenuse of the triangle is b and a , c are its legs
- sin(A) =
- sin(C) =
- The sum of the measures of the two acute angles A and C is 90°
∵ ABC is a right triangle
∵ m∠C = 90°
∴ c is the hypotenuse and a , b are its legs
∵ m∠A = 58.3°
- The sum of the two acute angles in the right triangle = 90°
∴ m∠A + m∠B = 90°
- Substitute the measure of angle A
∴ 58.3 + m∠B = 90
- Subtract 58.3 from both sides
∴ m∠B = 31.7°
∵ sin(A) =
∵ c = 24.8 feet
∴ sin(58.3) =
- By using cross multiplication
∴ a = (24.8) × sin(58.3)
∴ a = 21.1 ft
∵ sin(B) =
∵ c = 24.8 feet
∴ sin(31.7) =
- By using cross multiplication
∴ b = (24.8) × sin(31.7)
∴ b = 13.0 ft
m∠B = 31.7° , a = 21.1 ft , b = 13.0 ft
Learn more:
You can learn more about solving the triangle in brainly.com/question/12985572
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Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' =
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2