Answer:
3.14 square units
Step-by-step explanation:
Circumference of a circle = 2πr
2πr = 6.28
r = 6.28/2π
r = 3.142/π
Area of a circle = πr^2
slot in the value of r
Area of the circle = π( 3.142/π)^2
" = π(9.87/ π^2)
" = 9.87/π
π = 3.14
Area of a circle = 9.867/ (3.14)
" = 3.14 square units
Answer:
x= 20
Step-by-step explanation:
The sum of the three angles is 90 degrees
x+2x+x+10 = 90
Combine like terms
4x+10 = 90
Subtract 10
4x+10-10 = 90-10
4x= 80
Divide by 4
4x/4=80/4
x = 20
Answer:
the positive slope of the asymptote = 5
Step-by-step explanation:
Given that:

Using the standard form of the equation:

where:
(h,k) are the center of the hyperbola.
and the y term is in front of the x term indicating that the hyperbola opens up and down.
a = distance that indicates how far above and below of the center the vertices of the hyperbola are.
For the above standard equation; the equation for the asymptote is:

where;
is the slope
From above;
(h,k) = 11, 100
= 100
a = 
a = 10

b = 
b = 2


y = 5x-53 , -5x -57
Since we are to find the positive slope of the asymptote: we have
to be the slope in the equation 
= 
= 5
Thus, the positive slope of the asymptote = 5
Answer:
The percentage decrease from the first week to the third week is 25 %
Step-by-step explanation:
The number of popcorn bags sold on the first week = 500 bags
The second week, they sell 50% more than the first week
So, the number of bags sold on the second week is
= 500 + 50% of 500
=
= 
= 500 + 250
= 750 bags
The third week, they sold 50% less than the second week
So, the number of bags sold on the third week is
= 750 - 50% of 750
= 
= 
= 750 - 375
= 375 bags
Now the percentage decrease from the first week to the third week is
=
= 
= 
= 25 %