Answer:
Step-by-step explanation:
Your checkmarks are in the right places. So the answers are correct that you have chosen.
Answer:
13.9188 dollars
Step-by-step explanation:
1.1599 * 12 = 13.9188
Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
that
angles QPS and QRS are supplementary =>
QPS+QRS=180 =>
QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above,
angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>
RQP+RSP = 180 =>
x + 127 = 180 =>
x = 180 - 127 = 53 degrees.
Answer:
B. 0.4
Step-by-step explanation:
Use the definition of the probability

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table
- Number of all possible outcomes = Number of Reference books = 25
- Number of all favorable outcomes = Number of Hardcover Reference books = 10
So, the probability is

Circumference of circular path=pi*d^2/4
=44.156
length of light=1.45
light needed=44.156/1.45
=31 approx