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Mathematics

2 answers:

Scrat [10]2 years ago

8 0

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Vikki [24]2 years ago

7 0

okk I will comment now. ....

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What is the volume of the composite figure shown? (Use 3.14 for π.)

Nimfa-mama [501]

$The\ volume\ of\ the\ cone:V_1=\frac{1}{3}\pi r^2 H\\(r-a\ radius;\ H-height)\\------------------\\r=7ft;\ H=7ft\\\\V_1=\frac{1}{3}\pi\cdot7^2\cdot7=\frac{1}{3}\pi\cdot343=\frac{343}{3}\pi\ (ft^2)\\-------------------\\The\ volume\ of\ the\ cylinder:V_2=\pi r^2 H\\(r-a\ radius;\ H-height)\\-------------------\\r=7ft;\ H=6ft\\\\V_2=\pi\cdot7^2\cdot6=294\pi\ (ft^3)\\------------------------\\The\ volume\ of\ the\ composite\ figure: V_F=V_1+V_2$

$V_F=\frac{343}{3}\pi+294\pi=\frac{343}{3}\pi+\frac{294\cdot3}{3}\pi=\frac{343}{3}\pi+\frac{882}{3}\pi=\boxed{\frac{1225}{3}\pi\ (ft^3)}\\\\\approx\frac{1225}{3}\cdot3.14}=\frac{3846.5}{3}\approx\boxed{1,282.17\ (ft^3)}\leftarrow answer$

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3 years ago

A case of water costs $3.80. If Safeway marks up the price 10%, what is the new price of the

anyanavicka [17]

Answer:

$4.18

Step-by-step explanation:

You take $3.80 and multiply by it .1 (turn 10% into a decimal by moving the decimal to the right two places).

This gives you .38

Then you add .38 to $3.80 which gives you $4.18.

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2 years ago

Equation M: y = 3x + 4

solmaris [256]

Y = 3x + 4
y = 3x + 7

3x + 4 = 3x + 7
3x - 3x = 7 - 4
0 = 3.....incorrect....this system has no solutions because ur lines are parallel and they never cross.

or look at it this way..
y = 3x + 4
y = 3x + 7

both have slopes of 3...but the y intercepts are different......when this happens, it means the lines are parallel with no solution

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3 years ago

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*HELP* NEED IT TODAY RIGHT NOW*<br><br> order the following numbers from least to greatest.

Anika [276]

Answer:

cube root 64, 4.2, sqrt 19

Step-by-step explanation:

cube root of 64 = 4

sqrt 19 = 4.3

5 0

1 year ago