Answer:
The length of the arc is 15.7 centimeters
Step-by-step explanation:
The central angle measures 90 degrees. In order to find the length of the arc, we need to find the total circumference of the circle.
Circumference formula = pi x diameter
The diameter is just the radius doubled
pi x (10 + 10)
pi x 20 = 62.8
The total circumference is 62.8. We know that there are 360 degrees in a circle and 90 is 1/4 of 360.
So 62.8 / 4 = 15.7
The arc should be 15.7 cm
i think this is correct, sorry if its not
Answer:
![\sqrt52](https://tex.z-dn.net/?f=%5Csqrt52)
Step-by-step explanation:
(-2,1)=(x1,y1)
(4,5)=(x2,y2)
d=?
d=![\sqrt(4+2)2 + (5-1)2\\\sqrt(6)2+(4)2\\\sqrt36+16\\\sqrt52\\](https://tex.z-dn.net/?f=%5Csqrt%284%2B2%292%20%2B%20%285-1%292%5C%5C%5Csqrt%286%292%2B%284%292%5C%5C%5Csqrt36%2B16%5C%5C%5Csqrt52%5C%5C)
Step-by-step explanation:
the distance between the points (1, 4) and (-5, -4) on the coordinate plane =
√(-5-1)² + (-4-4)²
=√(-6)²+(-8)²
=√36+64
=√100
= 10 units
Answer:
y = -5/4 x + 2
Step-by-step explanation:
the slope of line segment : (1+7) /(9+1) = 8/10
= 4/5
the mid point of line segment :
x = (-1+9)/2= 4
y= (-7+1)/2 = -3
the coordinate : (4, -3)
the slope of line perpendicular to line segment
= -1 ÷ 4/5 = -5/4
so the equation :
y+3= -5/4 (x-4)
y+3= -5/4 x +5
y = -5/4 x + 2
First, we have to calculate how much time it takes Laine to read one page.
240 / 200 = 6 / 5 (six fifths of a minute)
Then, we need to find out how much time it takes her to read 25 pages.
25 * 6 / 5 = 150 / 5 = 30 minutes
A: It will take Laine 30 minutes to read 25 pages at the same rate.