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GaryK [48]
3 years ago
5

the central angle of an arc measures 12. the radius of its circle is 30 inches. what is the length of the arc to the nearest qua

rter inch
Mathematics
1 answer:
Katarina [22]3 years ago
4 0
IF the central angle is in degrees then the
arc length = (12 / 360) * circumference
arc length = (1 / 30) * 2 * PI * 30
arc length = 2 * PI inches
arc length = <span> <span> <span> 6.28 inches

Source:
http://www.1728.org/radians.htm

</span></span></span>
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Using the map, what is the distance between A and artifact B
Anettt [7]

Answer:

11 units apart

Step-by-step explanation:

You have to count how many units are in between A and B

4 0
3 years ago
Find the equation of the line in slope-intercept form (-1,-1) and (1,0)
ArbitrLikvidat [17]

Answer:

An equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the points

  • (-1, -1)
  • (1, 0)

Finding the slope between (-1,-1) and (1,0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)

m=\frac{0-\left(-1\right)}{1-\left(-1\right)}

m=\frac{1}{2}

substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

-1=\frac{1}{2}\left(-1\right)+b

-\frac{1}{2}+b=-1

Add 1/2 to both sides

-\frac{1}{2}+b+\frac{1}{2}=-1+\frac{1}{2}

b=-\frac{1}{2}

substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y\:=\frac{1}{2}x+\left(-\frac{1}{2}\right)

y\:=\frac{1}{2}x-\frac{1}{2}

Therefore, an equation in slope-intercept form of the line will be

  • y\:=\frac{1}{2}x-\frac{1}{2}
3 0
3 years ago
Find the midpoint of the line segment joining the points (10,14) and (-7,7).
LekaFEV [45]

Answer:

(1.5, 10.5)

Step-by-step explanation:

midpoint =  \bigg( \frac{10 + ( - 7)}{2},  \:  \:  \frac{14 + 7}{2}  \bigg) \\  \\  = \bigg( \frac{3}{2}, \:  \:  \frac{21}{2}  \bigg) \\  \\  = = ( 1.5,  \:  \:  10.5 )

3 0
3 years ago
The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers
Andrews [41]

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

B=5+A

Their sum is 59. So:

A+B=59

This is a system of equations. Solve by substituting the first equation into the second. Thus:

A+(5+A)=59

Combine like terms:

2A+5=59

Subtract 5 from both sides:

2A=54

Divide both sides by 2:

A=27

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!

4 0
3 years ago
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ollegr [7]

Answer:

-36x^3 - 69x^2 - 34x - 5

Step-by-step explanation:

(4x + 5) (3x + 1) -3 (x + 1)

(4x + 5) (3x + 1) ( -3x - 1)

12x^2 + 4x + 15x +5

Combine like terms

12x^2 + 19x + 5 (-3x - 1)

-36x^3 -57x^2 - 15x^2 -5

Combine like terms

-36x^3 - 69x^2 - 34x - 5

4 0
2 years ago
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