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Norma-Jean [14]
3 years ago
10

Find the area and circumference of the circle below round your answers to the nearest hundred

Mathematics
2 answers:
PolarNik [594]3 years ago
5 0
Area: 28.27
circumference: 18.85
Vlada [557]3 years ago
5 0

The formula to find area of circle is given by:

A = \pi r^{2}

where r is radius of circle and pi =3.14

From the figure we have diameter = 6 meters

radius = half of diameter = 3 meter

plugging this value in the formula:

A = (3.14) (3)^{2}

Area= 28.28 square meter.

Formula to find circumference is :

C = 2\pi r

C = 2(3.14)(3)

C =18.84 meter

Answer: circumference is 18.84 m

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2.8 if rounded, If not rounded, 2.77

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Find the length of the following curve. If you have a​ grapher, you may want to graph the curve to see what it looks like.
stepladder [879]

The length of the curve y = \frac{1}{27}(9x^2 + 6)^\frac 32 from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

y = \frac{1}{27}(9x^2 + 6)^\frac 32 from x = 3 to x = 6

Start by differentiating the curve function

y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x

Evaluate

y' = x(9x^2 + 6)^\frac 12

The length of the curve is calculated using:

L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx

This gives

L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx

Expand

L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx

This gives

L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx

Express as a perfect square

L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx

Evaluate the exponent

L =\int\limits^6_3 {3x^2 + 1} \ dx

Differentiate

L = x^3 + x|\limits^6_3

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

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2 years ago
WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER!!!
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Answer:

Its b.

Step-by-step explanation:

m < 3 = m <  4  (vertical angles)

m < 1 = m < 5 ( alternate angles)

Therefore the triangles are similar.

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One of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years. As the service man
grigory [225]

Therefore, the total costs for year 1 will be $2,240, for year 2 they will be $2,040, and for year 3 they will be $2,120.

<h3><u /></h3><h3><u>Costs</u></h3>

Given that one of your company's salesmen estimates he will drive 20,000 miles this year and each of the next two years, and as the service manager for the company's fleet of six-cylinder compact automobiles, you are asked to determine the total costs for each of the three years, to determine said cost, the following calculation must be made:

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Therefore, the total costs for year 1 will be $2,240, for year 2 they will be $2,040, and for year 3 they will be $2,120.

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Answer:

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Using slope intercept form, you can come p with the equation, <u>s=150m</u> where 150 is the savings per month and you were not given a starting point which would be y.

y=mx+b

<u>s=150m</u>

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3 years ago
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