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3 years ago

If c=12, find r in the equation c=2πr. Round your answer to the nearest hundredth

Mathematics

1 answer:

lesya [120]3 years ago

4 0

If c=12, then c=2*pi*r has to equal 12 as well
Simply set 2*pi*r=12 and solve for R
pi*r=6
r= approximately 1.91

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Determine the equation of the line that goes through points (1.1) and (3.7).

ValentinkaMS [17]

Answer:

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=1, y_1=1, x_2=3, y_2=7$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3$

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

$y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2$

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

$y=mx+b\\y=3x-2$

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

4 0

3 years ago

Which type of angle is ABC?<br> help quick!

vovikov84 [41]

Answer:

A right angle.

Step-by-step explanation:

65+25 =90

8 0

3 years ago

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An item that originally cost $12 is marked down 30%. What is the price of the item after the markdown? Show work please

Anettt [7]

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

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3 years ago

-x^(2)-12=-87<br><br> Please explain your answer, and how I make the x positive

spayn [35]

Solve for x over the real numbers:
-x^2 - 12 = -87
Add 12 to both sides:
-x^2 = -75
Multiply both sides by -1:
x^2 = 75
Take the square root of both sides:
Answer: x = 5 sqrt(3) or x = -5 sqrt(3) both Answers are correct

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3 years ago

Suppose the circumference of a circle is 4, pi. What is its diameter?

Vilka [71]

Your answer would be 4, because the equation for the circumference of a circle is π × diameter, so if you have 4 × π as the circumference, then 4 is the diameter.

I hope this helps!

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3 years ago

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