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3 years ago

In ΔNOP, m∠N = 110° and m∠O = 38°. Which list has the sides of ΔNOP in order from longest to shortest?

Mathematics

1 answer:

fredd [130]3 years ago

8 0

Answer:

The largest side is OP.

Step-by-step explanation:

ΔNOP, m∠N = 110° and m∠O = 38°

According to he property of the triangle, the sum of all the angles of the triangle is 180°,

So,

m∠N + m∠O + m∠P = 180°

110° + 38° + m∠P = 180°

m∠P = 32°

The side opposite to the largest angle is largest.

Here the largest angle is m∠N so the largest side is OP.

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Sindrei [870]

Answer:

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Step-by-step explanation:

The usual translation can be used:

x = r·cos(θ)
y = r·sin(θ)

Putting these relationships into the formula, we have ...

(r·cos(θ) +6)² +(r·sin(θ))² = 36

r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36

r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1

r(r +12cos(θ)) = 0

This has two solutions for r:

r = 0 . . . . . . . . a point at the origin

r = -12cos(θ) . . . the circle of interest

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3 years ago

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Alexus [3.1K]

Answer:

B) 1

Step-by-step explanation:

Given:

$8^{-3}\times 8^{-2}\times8^5$

We need to solve the given expression.

Now We know that when base of the exponents then the law of indices applied for the same.

Now According to Law of Indices.

$x^a\times x^b = x^{a+b}$

On Solving the above expression we get;

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