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1 year ago

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

Mathematics

2 answers:

slega [8]1 year ago

4 0

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

$C=2\pi r$

we have

$r=6\ in\\\pi=3.14$

substitute

$C=2(3.14)(6)\\C=37.68\ in$

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

using proportion

Find the arc length s for a central angle of 135 degrees

$\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in$

salantis [7]1 year ago

4 0

Answer:

14.1 inches

Step-by-step explanation:

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a number, n, is added to 15 less than 3 times itself.The result is 101.Which equation can be used to find the value of n? 3n-15+

Arturiano [62]

To solve for the system of equations, I will write the equation down as I rewrite the written form.
a number, n, (n) is added to 15 less than 3 times itself (+3n -15). The result is (=) 101. (101)
Now let's write only what's in the parenthesis.
n + 3n -15 = 101.
The correctly written form in your answers is:
3n - 15 + n = 101, your first answer.

4 0

1 year ago

Graph a line with a slope of -2/5 that contains the point (-3,5)

kotykmax [81]

$y=-\frac{2}{5}x+\frac{19}{5}$

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

$y=mx+b$

Given

$m=-\frac{2}{5}$

Putting the value of slope in the equation

$y=-\frac{2}{5}x+b$

To find the value of b, putting the point (-3,5) in equation

$5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}$

Putting the values of b and m

$y=-\frac{2}{5}x+\frac{19}{5}$

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

#LearnwithBrainly

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2 years ago

$53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. how much is in the accou

ella [17]

Answer:

$57,369

Step-by-step explanation:

We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.

To solve our given problem we will use compound interest formula.\

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given rate in decimal form.

$2\%=\frac{2}{100}=0.02$

Upon substituting our given values in compound interest formula we will get,

$A=\$53,000(1+\frac{0.02}{1})^{1*4}$

$A=\$53,000(1+0.02)^{4}$

$A=\$53,000(1.02)^{4}$

$A=\$53,000*1.08243216$

$A=\$57368.90448\approx \$57,369$

Therefore, an amount of $57,369 will be in the account after 4 years.

3 0

1 year ago

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two w

irakobra [83]

So she walked during this time with 4 miles per hour (x*4)

during the rest of the way (which is 0.7-x, as the whole way took her 42 minutes, so the rest is 0.7-x) she walked with 5 miles per hour - the distance was (0..7-x)*5 m/h

the total distance was 3 miles, so if we sum the two distances, we will get 3 miles:

x*4+ (0.7-x)*5=3

let's remove the bracket:

4x+0.7*5-5x=3

4x+3.5-5x=3

subtract 3.5 from both sides:
4x-5x=3-3.5
-x=-0.5

multiply both sides by (-1)
x=0.5:

so she walked for half an hour alone, that is for 30 minutes!

8 0

1 year ago

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Which method should be used to solve for x?

Serga [27]

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1 year ago