Let C be the center of the circle. The measure of arc VSU is 
, so the measure of the minor arc VU is 
. The central angle VCU also has measure 
.
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so
UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so
So finally,
degrees.
Answer:
11 yards
Step-by-step explanation:
The room has two sides both measuring 10 feet 5 inches. This gives a total of 20 feet 10 inches. It also has the other two sides both measuring 6 feet 1 inch and that too gives a total of 12 feet 2 inches. Adding them all together results in 32 feet 12 inches. Better still, the perimeter of the room is derived as;
Perimeter = 2 (L + W)
Perimeter = 2 (10'5" + 6'1")
Perimeter = 2(16'6")
Perimeter = 32'12"
Having in mind our conversion rate of 12 inches equals 1 foot, the results can be properly expressed as 32 feet plus 1 foot which gives us 33 feet.
If the perimeter of Wendy's room is now given as 33 feet, the conversion rate between feet and yards can now be applied. Having been given that
3 feet = 1 yard
Then 1 yard = 3 feet/3, that is
y = 3/3
Hence,
y = 33/3
y = 11
The results show that Wendy would needs to buy a total of 11 yards of wallpaper border.
Answer:
Step-by-step explanation:
A.
R(x)=px=x(-45 x+1800)=-45 x²+1800 x
B.
C(x)=7000+100 x
C.
P(x)=R(x)-C(x)=-45 x²+1800 x-(7000+100 x)
or P(x)=-45x²+1800 x-100 x-7000
or P(x)=-45 x²+1700 x-7000
