Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
Answer:
a) c = (5/100)*d
b) c = 0.05*d
c) The ratio between what Lee recieves and what he sold.
d) d = 2000
Step-by-step explanation:
Since Lee earns 5% in commission for each sale then:
a) c = (5/100)*d
b) c = 0.05*d
c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.
d) Since he wants to earn $100, then c = 100 and we solve for d
c = 0.05*d
100 = 0.05*d
0.05*d = 100
d = 100/0.05 = $2000
He needs to sell $2000.
Answer:
35x+12
Step-by-step explanation:
1. You combine like terms. (15x *3x=35x)
2.You Multiply other terms (2*6= 12)
3. Answer: 35x+12
Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula

Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.



Where
is the the volume of solid cylinder with radius
and height h
is the volume of the cylinder being carved out with radius
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get




One may note you never quite asked anything, now, assuming simplification,