Answer:
62.84
Step-by-step explanation:
Volume of both cones is approximately 12.57
formula= pi*r^2*h/3
Volume of the cylinder is approximately 37.7
formula= pi*r^2*h
you add the volumes
12.57+12.57+37.7
= 62.84
Answer:
She will use 13 quarter cups of oatmeal
Step-by-step explanation:
3 1/4 = 13/4
x/4 = 13/4
4(x/4) = 4(13/4)
x = 13
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Answer:
M = 29
27.31838095 = n
16.8511209 = p
Step-by-step explanation:
M = 180 -33-118 = 29
We can use the rule of sines
sin A sin B sin C
------------ = ---------- = ------------
a b c
sin 118 sin 29
------------ = ----------
n 15
Using cross products
15 sin 118 = n sin 29
Divide by sin 29
15 sin 118 / sin 29 = n
27.31838095 = n
sin 33 sin 29
------------ = ----------
p 15
Using cross products
15 sin 33 = p sin 29
Divide by sin 29
15 sin 33 / sin 29 = p
16.8511209 = p
Answer:
Question 3: 1/15 Question 4: 50
Step-by-step explanation:
Just divide the fractions by the numbers.
