Answer:
15°
brainlest
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:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

Increase the power by 1, then divide by the new power.
Given <u>indefinite integral</u>:

To integrate the given integral, use Integration by Parts:



Therefore:

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Answer:
n=3.5
Step-by-step explanation:
2²=4
14÷4=3.5
3.5×4=14
3.5×2²=14
Answer:
7.2 minutes
Step-by-step explanation:
The formula to find the time using the radioactive decay rate formula is given as:
t = t½ × In(Nt/No)/-In2
Where
t½ = half life = 6 minutes
No = Initial Amount = 260 grams
Nt = Amount after decay
= 113 grams
Hence:
t = 6 × In(113/260)/-In2
t = 7.2131331036796 minutes
Approximately = 7.2 minutes