We know,
sin(x) and cos(x) have minimum value equal to -1 and maximum value is 1.
Maximum value of sin(x) is 1
So we replace sin by 1 in our given equation
When we replace sin by 1 we will get
y= -2+5 = 3
So maximum value is 3
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
Step-by-step explanation:
so first you combine like terms , 3x-x-4=4 turns into 4x-4=4 then u add 4 to both sides [inverse operations]
4x-4=4
+4 +4
--------------
4x= 8
----------
4. 4
×=2
then u use inverse operations. agian and divide 4 into 8 and you get 2 !! x = 2
Answer:
I believe the answer is 39.368, if we round that it makes it, 39.4
Step-by-step explanation:
Answer:
A percent is a ratio of the parts to the whole
Step-by-step explanation:
If you had 30/100, 30% as a percentage, 30 would be the parts and 100 would be the whole
