Answer: a. (x-6) + 5x = 90 b. Angle One = 10° Angle Two = 80°
Step-by-step explanation:
A. Since angle 1 plus angle 2 is a right angle, then their sum is 90 degrees. The equation form angle 1 is x-6 and the equation for angle 2 is 5x, so (x-6) + 5x = 90
B. To find x,
x - 6 + 5x = 90
x + 5x = 96
6x = 96
x = 16
So, angle one = (16) - 6 = 10° and angle two = 16 * 5 = 80°
(1/10) / 1 = 3 / x.....1/10 m to 1 second = 3 m to x seconds
cross multiply
(1/10)(x) = (3)(1)
1/10x = 3
x = 3 / (1/10)
x = 3 * 10/1
x = 30 seconds <====
If the smaller number is x, then the larger number has to be 20 - x in order for the arithmetic mean to be 10, as their sum must be 20.
If the geometric mean is 8 the product of the numbers has to be 64 and so the larger number is 64/x
Solving 64/x = 20 - x gives the quadratic x^2 -20x +64 = 0 so x = 4 or 16.
The two numbers are 4 and 16.
Answer:
1 out of 6
Step-by-step explanation:
there are 6 different combinations
26in - blue
26in- red
26in- black
29in - blue
29in - red
29in - black
The probability then come out to 1 out of 6