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3 years ago

Lines a is perpendicular to line b . Which statement about lines a and b is true ?

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

Answer:

Step-by-step explanation:

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Find the exact value. cos150°

Aloiza [94]

ANSWER

$\cos(150 \degree) = - \frac{ \sqrt{3} }{2}$

EXPLANATION

We want to find the exact value of cos(150°).

150° makes an angle of 30° with the positive direction of the x-axis and it is also in the second quadrant.

The cosine ratio is negative in the second quadrant.

Using the unit circle,

$\cos(150 \degree) = - \cos(30 \degree) = - \frac{ \sqrt{3} }{2}$

8 0

3 years ago

Read 2 more answers

What is 12 percent of 120?

love history [14]

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

5 0

3 years ago

Drag each tile to the correct box. not all tiles will be used.Chris plans to mulch the border surrounding a rectangular garden i

amm1812

Length (L): 2w + 3

width (w): w

border (b): $\frac{1}{4} w$

Area (A) = (L + b) * (w + b) <em>NOTE: This is assuming the width also has a border</em>

= (2w + 3 + $\frac{1}{4} w$ ) * (w + $\frac{1}{4} w$ )

= $(2\frac{1}{4} w + 3)$ $(1\frac{1}{4} w)$

= $(\frac{9}{4} w + 3)$ $(\frac{5}{4} w)$

= $\frac{45}{16} w^2 + \frac{15}{4}w$

5 0

3 years ago

PROVE :<br><br>sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4

leva [86]

Step-by-step explanation:

$\sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4}$

$\sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30)$

$\frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4}$

$\frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4}$

3 0

1 year ago

East of Star, the railroad tracks intersect highway 23o as shown above. If 1=133 , find 2.

GrogVix [38]

Hi there.

These two angles sum up to be 180 degrees, so they are supplementary angles. Now, since these angles sum up to 180 degrees (to form a straight line), we only have to subtract 133 from 180 to find angle 2's measurement.

180 - 133 = 47

Angle 2's measurement is 47 degrees.

Voila!

I hope this helps! Have a great day. :)

6 0

3 years ago