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Troyanec [42]
3 years ago
12

What is the volume, in cubic feet, of a cone that has a base area of π / 4 square feet and a height of 3 feet?

Mathematics
1 answer:
rewona [7]3 years ago
8 0
The\ volume\ of\ a\ cone:V=\frac{1}{3}B\cdot H\\\\B=\frac{\pi}{4}ft;\ H=3ft\\\\therefore\\\\V=\frac{1}{3}\cdot\frac{\pi}{4}\cdot3=\boxed{\frac{\pi}{4}\ (ft^2)=\frac{1}{4}\pi\ (ft^2)}
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PLEASE HELP ASAP FOR 10 POINTS
Olenka [21]

Answer:

The answer is 4m

Step-by-step explanation:

5 0
3 years ago
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Aaron invested $740 in an account paying an interest rate of 5%
vlada-n [284]

The amount of money   Justin would have in his account than Aaron, to the nearest dollar is $0

What is the future value formula for continuous compounding cash flow?

The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:

FV=PV*e^(rt)

FV=the worth of the investment in 18 years=unknown

PV=the amount invested today=$740

e=mathematical exponential value=2.7182818

r=rate of interest which compounded continuously=5%

t=time of investment in years=18

FV=$740*2.7182818^(5%*18)

FV=$740*2.7182818^(0.90)

FV=$740*2.459603087981220

FV=$1,820.11

Justin:

FV=PV*(1+r/m)^(n*m)

PV=$740

r=5%

m=number of times in a year that interest is compounded=365

m=number of years=18

FV=$740*(1+5%/365)^(18*365)

FV=$1,819.99

difference=$1,820.11-$1,819.99

difference=$0.12($0 to the nearest dollar)

Find out more about continuous compounding on:brainly.com/question/23136156

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8 0
1 year ago
PLEAS EHELP!!!!!’n EXTRA POINTS AND BRAINLIEST
vitfil [10]

Answer:

Graphing inequalities on a numberline:

38 > x

The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.

10 ≤ x

This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.

28 ≤ X

The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).

16 > x

This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.

6 0
3 years ago
Abigail is 8 years older than Cynthia.Twenty years ago Abigail was three times as old as Cynthia.How old is each now?
xz_007 [3.2K]
Let 
C=Cynthia's age today
A=Abigail's age today

then
at all times
A=C+8......................(1)
twenty years ago,
A-20=3(C-20)
simplifying
A=3C-40...................(2)

Equate (1) and (2),
C+8=3C-40
8+40=3C-C
C=24
=> 
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Check:  A-C=8... ok   A-20=12  C-20=4  => (A-20)=3(C-20) ...ok

Answer:
Abigail is 32, Cynthia is 24.
3 0
3 years ago
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Simplify.
Sidana [21]
<h3>Answer: 3\sqrt{7}</h3>

3*sqrt(7)

3 times the square root of 7

====================================================

Explanation:

I'm assuming the V stands for square root. You can write sqrt(63).

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The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is \sqrt{x*y} = \sqrt{x}*\sqrt{y}

5 0
3 years ago
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