Answer: 112.50
Step-by-step explanation:
The greatest angle in the given triangle is 104 degrees.
<h3>
What is a triangle?</h3>
- The polygon with 3 sides, three vertices, and three angles is known as a triangle.
- A triangle's overall number of degrees is always 180 degrees.
Given:
- Let, the second angle has a measurement of x degrees.
- The first angle's measurement is 24 degrees greater than the second angle's measurement.
- As a result, the first angle is (24+x) degrees.
- The third angle is four times as large as the second.
- As a result, the third angle has a measure of 4x.
So,
- (24 + x) + x + 4x = 180
- 6x = 124 - 48
- 6x = 156
- x = 156/6
- x = 26
As a result, the second angle has a measurement of 26 degrees.
The first angle's measurement is now 24 degrees greater than the second angle's measurement.
Now,
As a result, the first angle has a measure of 50 degrees.
The third angle is now four times the size of the second angle.
So,
Therefore, the greatest angle in the given triangle is 104 degrees.
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Answer:
x = 40
Step-by-step explanation:
The answer is x = 40. This is because the two angles that are x are 1. congruent and 2. supplementary with 100° (They all add up to 180°). I can show this with a simple equation.
1. 2x + 100 = 180
2. 2x = 80
3. x = 40
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Answer:
The velocity function is
.
The acceleration function is
.
When t = 44, the velocity is
.
When t = 44, the acceleration is
.
Step-by-step explanation:
We know that the position function is given by

Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.

Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.

The instantaneous velocity function is given by

The instantaneous acceleration function is given by

To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions

