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3 years ago

HELP please help help

Mathematics

2 answers:

Nata [24]3 years ago

5 0

Volume of a cone＝πr²×h×1/3
＝π×13²×27×1/3
＝1521π
≈4778.36243
≈4778.4

Hope my answer helped u :)

Serjik [45]3 years ago

3 0

Answer:

4778.4

Step-by-step explanation:

The volume of a cone is given by:

(π•r²•h)/3

(π•13²•27)/3

(π•169•27)/3

(4,563•π)/3

14,334.66/3=4778.4

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I need the answer,Had to solve for homework and still working on it?

storchak [24]

They need to have common denomenators so change the fractions to 12/15 - 5/15 which is 7/15.

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3 years ago

If the mean weight of 4 backfield members on the football team is 221 lb and the mean weight of the 7 other players is 202 lb, w

MatroZZZ [7]

Let $x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, x_{10}, x_{11}$ be the weight of i-th player.

1. If the mean weight of 4 backfield members on the football team is 221 lb, then

$\dfrac{x_1+x_2+x_3+x_4}{4}=221\ lb.$

2. If the mean weight of the 7 other players is 202 lb, then

$\dfrac{x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{7}=202\ lb.$

3. From the previous statements you have that

$x_1+x_2+x_3+x_4=221\cdot 4=884 \lb,\\ \\x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=202\cdot 7=1414\ lb.$

Add these two equalities and then divide by 11:

$x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=884+1414=2298\ lb,\\ \\\dfrac{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{11}=\dfrac{2298}{11}=208\dfrac{10}{11}\ lb.$

Answer: the mean weight of the 11-person team is $208\dfrac{10}{11}\ lb.$

4 0

3 years ago

Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.

BlackZzzverrR [31]

Given Information:

Monthly payment = MP = $1500/4 = $375

Monthly interest rate = r = 25/12 = 2.083%

Required Information:

Present Value = ?

Answer:

$PV = \$10,110$

Explanation:

n = 10*4

n = 40 monthly payments

The present value is found by

$PV = MP \times \frac{ (1 - \frac{1}{(1+r)^n} )}{r}$

Where r is monthly interest rate.

MP is the monthly payment.

$PV = 375 \times \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083}$

$PV = 375 \times (26.96)$

$PV = \$10,110$

Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.

7 0

3 years ago

If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.

Black_prince [1.1K]

$\begin{array}{ccc}10\ lb&-&\$6.55\\\\1\ lb&-&\$ x\end{array}\ \ \ |cross\ multiply\\\\\\\\10\cdot x=1\cdot6.55\\\\10x=6.55\ \ \ \ |divide\ both\ sides\ by\ 10\\\\x=\frac{6.55}{10}\\\\x=0.65\underline{5}\approx\boxed{\$0.66}\\$

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1).

3 0

3 years ago

Raina, Chang, and Alonzo sent a total of 94 text messages during the weekend. Alonzo sent 3 times as many messages as Chang. Rai

sasho [114]

Answer:

Chang sent 17 messages, Alonzo sent 51 and Raina sent 26.

Step-by-step explanation:

You turn the word problem into an algebraic expression and solve

5 0

3 years ago

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