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2 years ago

What is the volume of the cylinder? Round your answer to the nearest whole number??

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

7 0

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is $\pi r^2h$ , where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

$\pi * 3^2 * 5$

Step 2: Simplify.

$3.14 * 9 * 5$
$28.26 * 5$
$141.3$
141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Find the x- and y- intercepts of the following equation.

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Answer:

The x-intercept is $(4,0)$

The y-intercept is $(0,-3)$

Step-by-step explanation:

Suppose you have a function f:

$f = f(x,y) = 0$

The x-intercept is the value of x when $y = 0$ .

The x-intercept is the value of y when $x = 0$ .

Solution

We have:

$f(x,y) = -3x + 4y = -12$

$-3x + 4y + 12 = 0$

x-intercept

The x-intercept is the value of x when $y = 0$ . So:

$-3x + 4(0) + 12 = 0$

$-3x + 12 = 0$ *(-1)

$3x - 12 = 0$

$3x = 12$

$x = \frac{12}{3}$

$x = 4$

The x-intercept is $(4,0)$

y-intercept

The y-intercept is the value of y when $x = 0$ . So:

$-3(0) + 4y + 12 = 0$

$4y + 12 = 0$

$4y = -12$

$y = \frac{-12}{4}$

$y = -3$

The y-intercept is $(0,-3)$

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2 years ago

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stira [4]

Answer:

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3 years ago

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scZoUnD [109]

Answer:

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Step-by-step explanation:

(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.

The unit rate for this problem is also known as the speed of the vehicle.

So to find the speed, you need to use distance over time.

---> Unit rate: $\frac{1}{4}\\$ / 1 = $\frac{1}{4}$ (km/minute)

(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.

Same process:

---> Unit rate: $\frac{1}{2}$ / 2 =

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2 years ago

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denis23 [38]

Problem 8

Answer: angle LSO and angle MSN

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Explanation:

Vertical angles form when we intersect two line segments, lines, or rays. Vertical angles are opposite one another and they are always congruent.

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

Problem 9

Answer: angle LMS and angle SMN

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Explanation:

Adjacent angles share a common line, line segment, or ray. Think of two adjacent rooms sharing a common wall between them. In the case of the answer above, the two angles share the common segment SM (note how S and M are part of LMS and SMN)

When it comes to naming angles, the middle letter is always the vertex of the angle. This is the hinge so to speak. Or you could picture a pair of scissors. For angle LMS, the arms LM and SM are the two blades of the scissors while point M is where the blades meet.

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Problem 10

Answer: angle LSM and angle MSN

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Explanation:

Same idea as problem 9. Now we're making S the middle letter. Something like angle LSM is the same as angle MSL.

In this case, the two adjacent angles form a straight line. We consider these two angles a linear pair.

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Problem 11

Answer: angle LSO and angle OSN

--------------

Explanation:

The term linear pair was discussed back in problem 10. So you could list those two angles again, or you could go with another pair as shown above. All that matters is that they are adjacent angles and they are supplementary angles (they add to 180 degrees). There are many possible answers.

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