Answer:
12π in³
Step-by-step explanation:
The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...
r² + x² = y²
x = √(y² -r²) = √(25 -9) = 4 . . . inches
The formula for the volume of a cone is ...
V = (1/3)πr²h . . . . . . . . h is the height, what you call x
Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...
V = (1/3)π(3 in)²(4 in) = 12π in³
The volume of the cone is 12π cubic inches.
Answer: With 11 pipes, you need 31.82 minutes to fill the tank.
Step-by-step explanation:
Let's define R as the rate at which one single pipe can fill a tank.
We know that 7 of them can fill a tank in 50 minutes, then we have the equation:
7*R*50min = 1 tank
Whit this equation, we can find the value of R:
R = 1 tank/(7*50min) = (1/350) tank/min.
Now that we know the value of R, we can do the same calculation but now with 11 pipes.
Then the time needed to fill the tank, T, is such that:
11*(1/350 tank/min)*T = 1 tank
We need to isolate T.
T = 1 tank/(11*(1/350 tank/min)) = 31.82 min
With 11 pipes, you need 31.82 minutes to fill the tank.
Answer:
Step-by-step explanation:
2s + 2.97, if he buys 2 sandwiches and a large drink then
2 represent the coefficients of s which is the number of sandwiches he bought
s represent a variable since it a function of the coefficient; s represent the price of sandwich
2.97 represent the price of large drink and also a constant since it has no letter added to
Answer:
It takes her 25.2 mintes
Step-by-step explanation:
You can just multiply 21 by 1.2 because that's how long she takes per lap and you can get 25.2
Sweet................
a. (0,4500) initial height
b. take any to points and find slope which is rate in ft per min and is also negative in this case
c. (3,0) hits ground after 3 minutes
d. after b, use y-y1=m (x-x1) for any point (x1,y1)
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