Answer:
4 small
8 large
Step-by-step explanation:
s - small mug
l - large mug
Yesterday she had 200 at start of day
at end of day 188 left, so she sold 12 mugs
(1) s + l = 12
(2) 2.50s + 5.75l = 56.00
Solve for l in (1)
l = 12 - s
substitute in l = 12 - s into (2)
2.50s + 5.75(12-s) = 56.00
2.50s + 69.00 - 5.75s = 56.00
-3.25s + 69.00 = 56.00
-3.25s = -13.00
s = 4
to find l substitute s = 4 into (1)
4 + l = 12
l = 8
14. the length of the arc is found by using the formula 2*PI*r*angle/360
the circle has a radius of 2 and the known angle is 90 degrees
so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
the arc length = 1PI, or just PI
16. the area of the parallelogram is L x W : 9 *6 = 54
the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches
Answer:
The slope is -1 /2 or -0.5
Step-by-step explanation:
use the formula y2-y1 / x2-x1
Answer:
(x-3)^2 + (y-1)^2 = 4
Step-by-step explanation:
The equation of a circle is usually written in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
The center is at the origin so (h,k) = (3,1) and the radius is 2 so r=2
(x-3)^2 + (y-1)^2 = 2^2
(x-3)^2 + (y-1)^2 = 4
