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STatiana [176]
2 years ago
6

Write an equation to represent the linear relationship in the table

Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

Answer:

-1/2

Step-by-step explanation:

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Tran drove his car at a constant speed of 55 mph.
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A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?
Ronch [10]
<h3>Answer:</h3>

301.6 cubic meters

<h3>Step-by-step explanation:</h3>

A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description. 

Volume Formula

A circular cylinder has a volume of V=\pi r^2h. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.

Solving for Volume

To solve plug the values into the formula and rewrite the equation.

  • V=\pi *4^2*6

Next, apply the exponents.

  • V=\pi *16*6

Then, multiply the constants.

  • V=\pi *96

Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.

  • V=301.6

Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.

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2 years ago
Graph y=sinx and y=cosx in the same viewing window. Which function could be the derivative of the other? Defend answer in terms
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Cos x is the derivative of sin x.
8 0
3 years ago
Find square root of 144 by factorisation method​
Nady [450]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Find square root of 144 by factorisation method.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.

__________________

To find the square root using factorisation, we need to group the same number in pairs. That is, 2 × 2 × 2 × 2 × 3 × 3 by grouping same numbers in pairs will become ⇨ (2, 2), (2, 2), (3, 3).

__________________

Now, you should take only 1 of the number from these groups. So, (2, 2), (2, 2), (3, 3) will change to ⇨ 2 × 2 × 3.

__________________

Finally, just multiply this set of numbers to find the square root of 144. 2 × 2 × 3 = 4 × 3 = \large\boxed{\underline{\bf \: 12}} ⇨ square root of 144.

__________________

  • The square root of 144 is <em><u>1</u></em><em><u>2</u></em><em><u>.</u></em>

8 0
2 years ago
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