To solve this problem, you must know that an inscribed angle equals 1/2 of the arc that it intercepts.
Therefore, because <ABC intercepts arc ADC, we know that
the measure of angle ABC = 1/2 * (measure of Arc ADC)
OR, when the values are substituted into the equation
165 = (1/2) (5)(x-3)
When simplified, this equation equals
330 = 5x - 15
345 = 5x
x = 69
Therefore, your answer is the second option, that x = 69 degrees.
Answer:
0.448 seconds
Step-by-step explanation:
d = -16t² -4t + 412
find t when d = 407
substituting d = 407 into the equation:
407 = -16t² -4t + 412 (subtract 407 from both sides)
-16t² -4t + 412 - 407 = 0
-16t² -4t + 5 = 0 (multiply both sides by -1)
16t² + 4t - 5 = 0
solving using your method of choice (i.e completing the square or using the quadratic equation), you will end up with
t = (-1/8) (1 + √21)= -0.70 seconds (not possible because time cannot be negative)
or
t = (-1/8) (1 -√21) = 0.448 seconds (answer)
Answer:
600 in^2.
Step-by-step explanation:
There are 6 faces on a cube so the area we need is:
6 * 10 * 10
= 600 in^2.
