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.
The area of a circle is pi times the radius squared (A = π r²).
Answer:
80%
Step-by-step explanation:
75% + 20% - 15% = 80%
The probability is 80%
Answer:
120 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you are looking for a missing angle measure, you use the 2nd button and the cos button. Make sure, first off, that your calculator is in "degree" mode by hitting the "mode" button and making sure that the "degree" is highlighed and not the "radian". Then hit "clear". Once you know that you are in the correct mode, hit "2nd" then "cos" and you will see this on your screen:
Inside the parenthesis you will enter your decimal, so it looks like this now:
You do NOT have to close the parenthesis, but you can if you want to. Then hit "enter" to get that the angle that has a cosine of .7431 is 42.0038314 or, to the nearest degree, 42
