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zheka24 [161]
3 years ago
11

The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the

nearest tenth.
*The answer is 5*
Mathematics
2 answers:
defon3 years ago
8 0

Answer:

Radius= 5.0ft ( given)

Step-by-step explanation:

Given: Volume of cone= 50π ft^3

Height of cone= 6ft

Required: Radius

Volume of cone= 1/3 * π * r^2 *h

(or)

r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )

= (50 π *3)/(6)π

= 50/2 (because, 3 π /6 π = 1/2)

r^2 = 25

now, r =√25= 5.0 ft

Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)

FinnZ [79.3K]3 years ago
5 0

Answer:

5

Step-by-step explanation:

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A grocer wants to mix two kinds of candy. One kind sells for $1.15 per pound, and the other sells for
scZoUnD [109]

Hey there!

This grocer is mixing two kinds of coffee. I always love the smell of coffee!

We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.

Altogether there are 24 pounds of coffee he is selling.

The algebraic equation would be x + y = 24

At $1.30 per pound, he will make 24 * $1.30 = $31.2

So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?

The algebraic equation would be 1.15x + 2.75y = 31.2

We now have two equations :

x+y = 24

1.15x + 2.75y = 31.2

Substituting x= 24 -y in the second equation gives us

1.15(24-y) + 2.75y = 31.2

27.6 - 1.15y + 2.75y = 31.2

27.6 + 1.6y = 31.2

1.6y = 31.2 - 27.6

0.3y= 3.6

y= 2.25

x + y = 24

x + 2.25 = 24

x = 24 -2.25

x = 21.75

If y=2.25, then x= 21.75 as well.

So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.

~Done~

6 0
2 years ago
10. Which of the following sets is written in order from least to greatest?
Vika [28.1K]

Answer:

B

Step-by-step explanation:

The answer is B because if you convert 1/4 into a decimal you get 0.25, and that is less than 0.5 and 0.75. I hope this helps!

5 0
3 years ago
The two-way table shows the number of people who have or have not graduated from college and who live or do not live in their ho
neonofarm [45]

Answer:

0.28

Step-by-step explanation:

Refer the attached figure

Given :

People who live in their hometown and graduated from the college =8

People who do not live in their hometown and graduated from the college = 10

People who did not graduate from college and lives in home town = 6

People who did not graduate from college and do not live in home town = 4

To Find :  Among people who do not live in their hometown, what is the relative frequency of not graduating from college?

Solution :

The total no. of people who do not live in home town whether they are graduated or not graduated = 14

People who did not graduate from college and do not live in home town = 4

Thus  Among people who do not live in their hometown the relative frequency of not graduating from college :

People who did not graduate from college and do not live in home town/total no. of people who do not live in home town whether they are graduated or not graduated

⇒\frac{4}{14}

⇒\frac{2}{7}

⇒0.28

Thus , Among people who do not live in their hometown the relative frequency of not graduating from college = 0.28




5 0
3 years ago
Read 2 more answers
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo
lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

r(E.week)=\frac{0.09265}{52} =0.00178173

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

r(e.a)=(1+r(e.week))^{52} -1

r(e.a)=(1+0.00178173)^{52} -1=0.09699

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

r(E.month)=\frac{0.09442}{12} =0.00786833

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

r(e.a)=(1+r(e.month))^{12} -1

r(e.a)=(1+0.00786833)^{12} -1=0.09862

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

r(E.quarter)=\frac{0.09719}{4}=0.0242975

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

r(e.a)=(1+0.0242975)^{12} -1=0.10079

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 4 -(-7)? A 7+4, B 4-7, C -7-4, D -4+7
My name is Ann [436]
Hi there! You are subtracting a negative number, which is basically the same thing as adding, because two negatives make a positive. B and C is out, because they do not fit the expression. You are actually adding both numbers and anytime you have to subtract a negative number, you add. When you do basic math, 4 + 7 is 11. Both numbers are negative and D does not work, because you're adding from a negative number. The only answer choice that has the expression is A. The answer is A.
8 0
4 years ago
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