Answer: y=11.
Step-by-step explanation:
What is the equation for 87÷75.69
2 answers:
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Answer: The central angle measures 135 degrees
Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.
So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.
Length of an arc = X/360 x 2pi x radius
Substituting for the known values, our formula can now be re-written as
9pi/2 = X/360 x 2pi x6
By cross multiplication we now have
9pi/2pi x 6 = 2X/360
We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,
9/12 = X/180
Simplify even further and we have
3/4 = X/180
By cross multiplication we now have
(3 x 180)/4 = X
540/4 = X
135 = X
Therefore the central angle that intercepts the arc measures 135 degrees.
Answer:
1/729
Step-by-step explanation:
Assuming that the probabilities of each digit in the pin is independent from the other digits, the answer to this question can be calculated. There are total of 9 digits, out of which 1 digit is correct. This is true for all the three digits. So the probability of choosing the correct digit in the first place in the first try will be 1/9. Since this is true for the rest of the digits as well and they are independent, we can safely multiply the probabilities. So P(Correct Guess in the first try) = 1/9 (first place) * 1/9 (second place) * 1/9 (third place) = = 1/729. So the correct answer is 1/729!!!