Answer:
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Step-by-step explanation:
The answer is 194.4 cubic units
<h3>
<u>Given</u><u> </u><u>:</u><u>-</u></h3>
- PQ = 8cm
- Radius = 5cm
- Two Tangents = P & Q.
<h3>
<u>Construction</u><u> </u><u>:</u><u>-</u></h3>
<h3>
<u>⟼</u><u> </u><u>Solution</u><u> </u><u>:</u><u>-</u></h3>
Here, ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.
[∵ TP=TQ = Tangents from T upon the circle]
⠀⠀⠀⠀⠀⠀⠀⠀∴ OT⊥PQ
⠀⠀⠀
___________________________________________
By Applying Pythagoras Theorem in ∆OPR :
OR = √OP² - PR²
OR = √5² - 4²
OR = 3cm
__________________________________________
Now,
∠TPR + ∠RPO = 90° (∵TPO=90°)
∠TPR + ∠PTR (∵TRP=90°)
<u>
</u><u>∴ ∠RPO = ∠PTR</u>
⠀⠀
<u>∴ Right triangle TRP is similar to the right </u><u>triangle</u><u> </u><u>PR</u><u>O</u><u>.</u> [By A-A Rule of similar triangles]
⟼
⟼
⟼
<h3>Hence you got your answer here. </h3>
⠀⠀⠀⠀⠀
<h2>-MissAbhi</h2>
Let f(x) be y so you have
y=7x-13
Reverse the signs of x and y so you have
x=7y-13
And then find the value of y
x+13=7y
(x+13)/7=y
And change y to f(x)-1
28.90... because 36.12 times 0.20% is 7.22 and 37.12 subtract 7.22 is 28.90