Answer:
122.6875 (122 ft 8.25 in)
Step-by-step explanation:
12 ft 7in = 151 in
9 ft 9 in = 117 in
151 x 117 = 17667
17667in = 122 ft and 8.25 in = 122.6875 ft
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Answer:
a = d + r + c
Step-by-step explanation:
a - c + c = d + r + c
a = d + r + c
Answer:
B
Step-by-step explanation:
Variance can be said to be a measure of dispersion for a random sample.
Variance = pq/n
When given the variance, we can find the standard deviation.
Standard deviation = √variance
= √pq/n
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
_____
* from your knowledge of the short table of trig functions and their signs in different quadrants
Answer:
We have 12 mL of 11% alcohol.
How much water do we add to make it a 6% solution?
We have 1.32 mL alcohol and 10.68 mL water
x is the water to add
(1.32) / (12 + x) = .06
1.32 = .72 + .06x
.6 = .06x
x = 10 mL
Step-by-step explanation: