Answer:
x₁ = - 5, x₂ = 5
Step-by-step explanation:
x^2 + 3 = 28
x^2 = 28 - 3
x^2 = 25
x = ± 5
x = - 5
x = 5
The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees
<h3>How to solve for angle A?</h3>
Start by solving the acute part of angle A using the following sine function
sin(Ax) = (30 - 4)/32
Evaluate the quotient
sin(Ax) = 0.8125
Take the arc sin of both sides
Ax = 54.3
The measure of angle A is then calculated as:
A = 90 + Ax
This gives
A = 90 + 54.3
Evaluate
A = 144.3
Hence, the measure of angle A is 144.3 degrees
<h3>The angle to cut the molding</h3>
In (a), we have:
Ax = 54.3
This represents the angle where the molding would be cut
Hence, the angle to cut the molding is 54.3 degrees
Read more about angles at:
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Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
Answer:
Distance traveled by the snowball = 45feet
Step-by-step explanation:
The distance traveled by the snowball = distance of hypothenus for both Right angle triangle
1st pythagoras =
X² = 20² + 15²
X = (20² + 15²)¹/² = 25 feet
2nd pythagoras =
X² = 16² + 12²
X = (16² + 12²)¹/² = 20 feet
Distance traveled by the snowball = 20 + 25 = 45feet