Answer:
24 pie, or, 75.36 inches cubed
Step-by-step explanation:
The formula for volume of a cylinder is pie*radius^2*height
The radius is half the diameter, so the radius is 2 inches.
Plug in given information into the formula and solve.
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
The value of y in the given equation is B. 30.
Step-by-step explanation:
y = 2x² - 4x x = 5
y = 2(5)² - 4(5) Plug 5 in for x
y = 2(25) - 20 Square 5 and multiply 4 by 5
y = 50 - 20 Multiply 2 by 25
y = 30
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
Answer:
Jaime's. Interval not centered around the point estimate.
Step-by-step explanation:
When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.
For Jaime's interval
Lower bound = 0.078
Upper Bound = 0.193

For Mariya's interval
Lower bound = 0.051
Upper Bound = 0.189

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.