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3 years ago

13

Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for π. Round your answers to the nearest hundredth. a.

4cm and 12cm b. 10cm and 8cm

1 answer:

Katena32 [7]3 years ago

4 0

Answer:

3-8I am right or wrong and the answer is 5

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have <u>slopes that are negative reciprocals</u> to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that <em>its slope is -4/3.</em>

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

<u>In short, your new equation is y = -4/3x - 10 1/3.</u>

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3 years ago

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This is the amount you use when figuring a tip at a restaurant:

Georgia [21]

Subtotal is the total amount of all the prices you ordered, and total is the sum of the subtotal and the tip.
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3 years ago

Find all solutions to the equation.<br><br> cos2x + 2 cos x + 1 = 0

yanalaym [24]

For cos(2x) * (2cos(x) + 1) = 0, use the double angle identity for cos(2x), which is cos^2 x - sin^2 x = cos^2 x - (1-cos^2) = 2cos^2 x - 1.
So we have (2cos^2 x - 1)(2cos x + 1) = 0. So 2cos^2 x -1 = 0 or x = 0 and 2pi.
For 2sec^2 x + tan^2 x - 3 = 0, use the identity sec^2 x = tan^2 x + 1, so we have
2(tan^2 x + 1) + tan^2 x - 3 = 0 or
<span>2tan^2 x + tan^2 x - 1 = 0 or
</span>3 tan^2 x = 1.

So x = pi/2, pi/2 + pi = 3pi/2.

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3 years ago

During the big storm, 30 in. of snow fell in 7 h. Find the rate of snowfall in inches per hour.

andrew-mc [135]

30 divided by 7 is 4.2z
It snowed 4.2 inches per hour

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2 years ago

Please help quickly if possible

lora16 [44]

Answer:

$36

Step-by-step explanation:

8a+5c

8(2)+5(4)

16 + 20

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