Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.
Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
Answer:
20%
Step-by-step explanation:
Use the percent change formula: difference = % * original cost
12 - 10 = 2
The difference is 2 and the original cost is 10. Now, we have the equation
2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!
Answer:
22.7604763 degrees
Step-by-step explanation:
Note that the answer is NOT 20 degrees.
She adjusted the ramp to half the original <em>incline</em>
Therefore we have tan 40 = x = 0.839099631.
We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815
Taking the arctan of both sides, we get
y = arctan(0.419549815) = 22.7604763 degrees
