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SpyIntel [72]
3 years ago
12

A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the th

e sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Answer:

A.) 84π | B.) 546π/5

Step-by-step explanation:

A.)

V(Cone) = πr²(h/3) where r = radius and h = height.

r = d/2 where d = diameter.

r = 12/2 = 6

V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π

B.)

84π · 0.3 = 126π/5

84π + 126π/5 = 546π/5  

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Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is gi
Vitek1552 [10]

Answer:

t=1.020s

Step-by-step explanation:

Given Equation:

5t-0.5at^{2} =0

Actually the given equation is the 2nd equation of motion

i.e. S =V_{i} t+0.5at^{2}

where S=0 because the astronaut jumps on the earth

and initial velocity V_{i}=5

to find time t, put the given value of a=9.8m/s^{2} in the given equation, we get

5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s

it will take t=1.020s to reach the ground if he jumps on the Earth

3 0
3 years ago
Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. R
expeople1 [14]

Answer:

P(X=2)=0.04129

Step-by-step explanation:

-This is a binomial probability problem whose function is expressed as;

P(X=x)={n\choose x}p^x(1-p){n-x}

-Given that p=0.6, n=8 , the probability that among the students in the sample exactly two are female is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=2)={8\choose2}0.6^2(1-0.6)^6\\\\=0.04129

Hence, the probability of exactly two females is 0.04129

8 0
3 years ago
Three numbers have an average of 15. If two of the numbers are 10 and 12, then what is the other number?
AveGali [126]

Answer:

Step-by-step explanation:

(12+10+x)/3=15

15*3=12+10+x

45-12-20=x

X=23

3 0
2 years ago
PLEASE HELP!! What is the domain of (f)
pishuonlain [190]

The domain is (-5,4). If that makes any sense, if it doesnt ill explain


4 0
3 years ago
In the metric system, which of the following is correct? a:) 1,000= 1 milliliter
Maksim231197 [3]
The correct answer for the given question above would be option C. In the metric system, the one that has shown a correct equivalent of measurement is 100 centimeter = 1 meter. And in every 1 centimeter, there is 0.01 meter. The rest of the options are not correct so the answer is C. 
3 0
3 years ago
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