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3 years ago

Can you please help me

Mathematics

1 answer:

erica [24]3 years ago

6 0

Answer:

p = 4.0

q = 2.0

angle <P = 64 degrees

Step-by-step explanation:

We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:

$cos(26^o)= \frac{adjacent}{hypotenuse} \\cos(26^o)= \frac{p}{4.5}\\p= 4.5 *cos(26^o)\\p=4.0445$

which rounded to the nearest tenth gives : p = 4.0

Now we use the sine function to help us determine side q:

$sin(26^o)= \frac{opposite}{hypotenuse} \\sin(26^o)= \frac{q}{4.5}\\q= 4.5 *sin(26^o)\\q=1.9726$

which rounded to the nearest tenth gives:

q = 2.0

Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:

< P + < Q + < R = 180

< P + 26 + 90 = 180

< P = 180 - 26 - 90

< P = 64 degrees

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3 years ago

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ivolga24 [154]

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You can relate x^2 + y^2 with x^2 - y^2 and 2xy in this ways.

1) Step 1:

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------------------------    ----------     --------------------------
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4 years ago

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see the attached graph

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