Answer:
B
Step-by-step explanation:
<u>This is a right triangle as shown by the right angle.</u>
- The side opposite the right angle is the hypotenuse, which is 9.
- The side opposite angle A is 3.
So we have the opposite of A and the hypotenuse.
The trigonometric ratio that relates opposite side to hypotenuse is SINE.

Since, we need angle A,
is A, opposite side is 3, and hypotenuse is 9, we substitute:

<em>To solve for the angle, we use our calculator and find the inverse sin of
:</em>

<em>Rounding to nearest tenth of a degree:</em>

B is the right choice.
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
Answer:
The $3.20 one
Step-by-step explanation:
The $3.20 one is cheaper because you get more.
Answer:
? = -36
Step-by-step explanation:
When you raise an exponent to an exponent, the resulting power is a product of the two exponents.
For this problem, you can solve for the missing value by writing:

Divide both sides by 1/3 to isolate the missing value.

Solve for ?.
