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Llana [10]
3 years ago
12

⊙M≅⊙N and AB=31.8. Identify PQ, rounded to the nearest tenth.

Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

PQ=9.6\ units

Step-by-step explanation:

In this problem

If AB=31.8 units

then

ZY=31.8 units

ZP=PY=31.8/2=15.9 units

In the right triangle MZP

we have

ZP=15.9\ units

MZ=18\ units ----> the radius of the circle

Applying Pythagoras Theorem Find MP

MP^{2}=MZ^{2}-ZP^{2}

substitute

MP^{2}=18^{2}-15.9^{2}

MP^{2}=71.19

MP=8.4\ units

Find the value of PQ

we know that

MQ=MP+PQ\\ PQ=MQ-MP

we have

MQ=18\ units

MP=8.4\ units

substitute

PQ=18-8.4=9.6\ units

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3 years ago
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F(x) = 2x^2 + 6x – 4<br> g(x) = 5x^3 – 6x^2-3<br><br> Find (f +g)(x).
kogti [31]

Answer:

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Step-by-step explanation:

<u>Given</u>

  • f(x) = 2x^2 + 6x – 4
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<u> To find </u>

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<u>Solution</u>

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