Mark is 7 years older than his brother, who is y years old. Which expression correctly represents Mark's age?

An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 6 feet tall and has a base with a circumferen

kirill [66]

Answer:

V = 65.19

Step-by-step explanation:

Remark

You need r. You can get it from the circumference of the circular base.

Once you have that, the formula is Area = 1/3 pi r^2 j

Givens

C = 20.236

h = 6 feet

Formulas

C = 2 pi r

Volume = 1/3 pi r^2 h

Solution

Find r from C = 2 pi r

20.236 = 2 * 3.14 * r Combine the right

20.236 = 6.28 * r Divide by 6.28

20.236/6.28 = 6.28 * r / 6.28

3.222 = r

Now that you have r, you can solve for the volume

V = (1/3) pi 3.222^2 * 6 Square r

V = 1/3 * pi * 10.381 * 6 Now multiply through by all, but pi

V = 20.762 pi

V = 65.194

8 0

1 year ago

R is a three digit number determine the digits of r from the clues the first digit is the answer when the third digit is divided

madreJ [45]

Answer:

135

Step-by-step explanation:

I believe this is the answer

3 0

2 years ago

Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit

dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252$

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

$(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002$

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

$P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240$

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

$n^k=10^5=100,000$