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dmitriy555 [2]
2 years ago
6

What are two angles within 0°-360° that has a cosine of negative root three over 2? Show work please

Mathematics
1 answer:
alekssr [168]2 years ago
6 0

Answer:

150° and 210°

Step-by-step explanation:

1) according to the condition the required cosine is <0, it means the required angles are in the II-d and III-d quaters (see the attached picture no. 1);

2) it is known, that arccos(√3/2)=30°- the angle is between 0° and 90°, - but the requred angles are between 90° and 270° (see the picture no. 2), then

3) (angle)₁=180°-arccos(√3/2) and (angle)₂=180°+arccos(√3/2), then finally

(angle)₁=180°-30°=150°; (angle)₂=180°+30°=210°.

PS. note, the suggested way is not the only one.

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1. In the diagram below, a large flagpole stands outside of an office
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Let h bet the height of the building.

Mark is 60+310 = 370 m from building.

35/60 = h/370

h = 1295/6 = 215⅚ meters

8 0
3 years ago
If m ∠ A B F = ( 8 w − 6 ) ° m ∠ A B E = [ 2 ( w + 11 ) ] ° m ∠ E B F .
pashok25 [27]

The measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28

<h3>How to determine the measure of angle EBF?</h3>

The angle measures are given as

If m ∠ A B F = ( 8 w − 6 ) ° m ∠ A B E = [ 2 ( w + 11 ) ] ° m ∠ E B F

Rewrite the angle measures properly.

This is done, as follows

m∠ABF = (8w − 6)°

m∠ABE = [2(w + 11)]

The measure of angle m∠EBF is calculated as:

m∠ABF = m∠ABE + m∠EBF

Substitute the known values in the above equation

8w - 6 = 2(2w + 11) + m∠EBF

Open the brackets

8w - 6 = 4w + 22 + m∠EBF

Evaluate the like terms

m∠EBF = 4w - 28

Hence, the measure of angle EBF where he angle measures are given as m∠ABF = (8w − 6)° and m∠ABE = [2(w + 11)] is m∠EBF = 4w - 28

Read more about angles at

brainly.com/question/25716982

#SPJ1

5 0
1 year ago
The cost of 8 kg of butter is $ 904. what will be the cost of 14 kg of butter
kvv77 [185]

Answer:

$1582

Step-by-step explanation:

cost of each kg 904/8=113

cost of 14 kg 113x14=1582

the cost of 14 kg of butter is $1582

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3 years ago
The cost of 24 bottles of water is $6. Which expression shows how to find the cost of 10 bottles of water?
yaroslaw [1]
So first you need to find out how much one water bottle cost. 
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Okay now you need to find how much it would cost for 10. 
so you would times 10 by $0.25: 
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So $2.50 would be you answer. 
Hope that helps!! 
Have a wonderful day!!
4 0
3 years ago
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