Answer:
here is the answer bae. Feel free to ask for mo
Answer:
Step-by-step explanation:
it can be simplified to 
. if you multiply each side by the denominator, it becomes 
since 
and cotan is the reciprocal of that. Because 
so multiplying each side gives 
, and 
is equal to 1.
True!
4(0) -1 = -1
2(0) +7 = 7
There should be sixteen branches. There are four possible suits for the first card, hearts, diamonds, clubs, spades. Then each of those four branches has four branches for the second card drawn. 4*4 = 16.
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
