Answer:
x = 4 , y = 6
Step-by-step explanation:
I am sorry if I'm wrong
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
From the description, you can get two equation that looks like this:
L= 2*W+6.7cm
Perimeter= 57.2cm
Using perimeter formula, you can put the first and second equation like this:
perimeter= 2L + 2W
57.2cm= 2(2*W+ 6.7)+2W
57.2cm= 4W+ 13.4+ 2W
57.2- 13.4= 6W
W= 43.8/6= 7.3 cm
L= 2W+ 6.7
L= 2*7.3 + 6.7= 21.3
Answer: <span>A. Length=21.3 cm; width=7.3 cm</span>
Cos x=5/12. Solve for x which is 65.37 degrees.