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3 years ago

The slope of line m is 7/8. If n⊥m, what is the slope of line n?

1 answer:

Citrus2011 [14]3 years ago

8 0

Hello!

Slopes of perpendicular lines are opposite reciprocals of each other, which the slope of line perpendicular to a line with a slope of 7/8 is -8/7.

Answer:
D. -8/7

Hope this helps!

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Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. What is the measure of the final in

zepelin [54]

Answer:

127°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180°(n - 2) ← n is the number of sides

here n = 5 ( Pentagon), hence

sum = 180° × 3 = 540°

To find the fifth angle subtract the sum of the 4 given angles from 540

angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°

6 0

4 years ago

What is the value of sin 43° to the nearest ten-thousandth?

GalinKa [24]

Answer:

0.6819

Step-by-step explanation:

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3 years ago

Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate?

Cloud [144]

Answer:

True; quadrants I & IV

Step-by-step explanation:

We know the relation between sine and cosine function which is given by

$\sin^2 \theta +\cos^2 \theta = 1$

Let us solve this equation for cosine function.

$\cos^2 \theta = 1-\sin^2 \theta$

Take square root both sides. When ever we take square root we need to write the solution in plus minus form

$\sqrt{\cos^2 \theta}=\pm\sqrt{1-\sin^2 \theta}$

$\cos \theta=\pm\sqrt{1-\sin^2 \theta}$

$\cos \theta=-\sqrt{1-\sin^2 \theta}, \sqrt{1-\sin^2 \theta}$

If Θ is in quadrants I and IV then the value will be positive and if Θ is in II and III quadrant then the value is negative.

Hence, if Θ is in quadrants I & IV, then we have

$\cos \theta=\sqrt{1-\sin^2 \theta}$

Thus, the correct option is: True; quadrants I & IV

6 0

4 years ago

Read 2 more answers

Rearrange the formula m = x + y 2 for y.

Anika [276]

M - x = y^2
y=√(m - x)

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3 years ago

Read 2 more answers

What is the sqaure root of 6475839

Ronch [10]

Its 2544.766983
I just used my calculator :)

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2 years ago