If you use a proportion, you'll get:

Then, you use cross products:

Then, you algebraically solve x:

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
Answer:
Step-by-step explanation:
r = 3 in
h = 7 in
volume of cone = ⅓πr²h = 21π in³
cylinder has radius r = 3 and height h.
volume of cylinder = πr²h = 9πh in³
volume of cylinder is two times the volume of cone
9πh = 2×21π
9h = 42
h = 42/9 = 4⅔ in
Answer:
Shown - See explanation
Step-by-step explanation:
Solution:-
- The given form for rate of change is:
8 sec(x) tan(x) − 8 sin(x).
- The form we need to show:
8 sin(x) tan2(x)
- We will first use reciprocal identities:

- Now take LCM:

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

- Again use pythagorean identity tan(x) = sin(x) / cos(x):
