Answer: 
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume 
and 
are tangents to the circle.
(reflexive property)
(tangents drawn from a common external point are congruent)
(right angles are congruent)
Therefore, we know 
by HL.
Thus, by CPCTC,
This means the measure of minor arc AC is 
, and thus 
If you multiply 38.95 by 0.02, you will get the amount taken away from the total when the discount is applied:38.95x0.02=0.78
Then, you subtract that discount price from the total to get the amount Joan pays when she pays with cash:38.95-0.78=38.17
Joan pays $38.17 in cash.
As you move from each place to the left one place, the value increases by 10. If you move right a place, the value decreases by 10.
Answer:
62
Step-by-step explanation:
The enclosing rectangle is 24 units long and 12 units high. Its area is ...
(24 units)(12 units) = 288 square units
The white circles obviously cover more than half the area, so the only viable answer choice is 62.
__
If you want to go to the trouble to actually figure it out, you can find the area of each circle using the area formula ...
A = πr² = (3.14)(6²) = 113.04
Then both circles have an area of 2×113.04 = 226.08, and the shaded area is the difference between that and the rectangle area:
shaded area = 288 -226.08 = 61.92 ≈ 62
Answer:
12 cm
Step-by-step explanation:
To calculate the length of a spring with a 2 kg load, compare the displacement of a 1 kg load and adjust accordingly.
When a 1 kg load is suspended from the spring, the spring which is 6 cm stretches to 9 cm. This is 3 cm longer due to the weight. If you attach a weight which is twice as much then the displacement will be twice as much. Instead of stretching an additional 3 cm, it will stretch 2*3 = 6 cm. Add this to the length of the spring and it stretches in total 6 + 6 = 12 cm.
