Answer:
The height of the pile is increasing at the rate of 
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e 
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:
Taking the differentiation of volume V with respect to time t; we have:
we know that:
So;we have:
The height of the pile is increasing at the rate of
Answer:
The intersection of both lines.
Answer: 5 games
Step-by-step explanation: They need to win half their games for a .500 record and half or 30 is 15. They already won 10 so they need to win 15- 10 = 5 more games to have a .500 record.
Pythagorean theorem
for a right triangle with legs legnth a and b and hytponuse c
a^2+b^2=c^2
the legnht of th eladder is the hypotnuse
the 3 feet is bottom leg
height is other leg
10=c
3=a
b=?
3^2+b^2=10^2
9+b^2=100
minus 9 both sides
b^2=91
sqrt both sides
b=√91
aprox
b=9.53939
answer is √91 feet or aprox 9.53939
Answer:
0.578
Step-by-step explanation:
If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)
Given that there are 14 orders at the ratio by of:
6 with hot peppers
8 without hot peppers
At most two have hot peppers.
Binomial Problem with n = 3 ; p(hot) = 6/8
P(0<= x <=2) = 1 - P(x = 3)
= 1 - (6/8)^3
= 1 - ( 3/4 )^3
= 1 - ( 27/64 )^3
= 1- (37/64)
= 1 - 0.421875
= 0.578125
= 0.578
