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Arte-miy333 [17]
2 years ago
13

Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

Mathematics
2 answers:
kramer2 years ago
7 0

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

<h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47

Then add 180 degrees, then we have

\theta = -19.47 + 180\\\\\theta = 160.52

Then the value of the cosine will be

\cos 160.52^o=-0.9428

More about the trigonometry link is given below.

brainly.com/question/22698523

3241004551 [841]2 years ago
7 0

Answer:

-2√2/3

Step-by-step explanation:

edge 22

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Assume that y varies inversely
Marina86 [1]

Answer:

y = 2

Step-by-step explanation:

y varies inversely with x setup is:

y = k/x

7 = \frac{k}{2/3}  (find 'k')

k = 7/1 · 2/3

k = 14/3

use what you know about 'k' and 'x' to solve for 'y'

y = 14/3 ÷ 7/3  (remember to multiply by the reciprocal when dividing fractions)

y = 14/3 · 3/7

y = 2

3 0
3 years ago
Needs to be in fraction form and simplified <br><br> 3 4/5 + 4 5/6 =? <br><br> 10 points
LenaWriter [7]

Answer:

259/30 or 8 19/30 depending on what format your teacher wants the answer

Step-by-step explanation:

First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number.  So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6.  Now in order to add fractions we need to get a common denominator.  The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator.  for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30.  Now we just add the numerators and simplify.  114/30+145/30=259/30

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0
2 years ago
. The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters
NNADVOKAT [17]

Answer:

0.46

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If CE bisects ZBCD and if m ZBCE = 3x - 6
horrorfan [7]

Answer:

m∠BCD = 90°

∠BCD is a right angle

Step-by-step explanation:

<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>

∵ Ray CE bisects ∠BCD

→ Means divide it into two angles BCE and ECD which equal in measures

∴ m∠BCE = m∠ECD = \frac{1}{2} m∠BCD

∵ m∠BCE = 3x - 6

∵ m∠ECD = 2x + 11

→ Equate them to find x

∴ 3x - 6 = 2x + 11

→ Add 6 to both sides

∵ 3x - 6 + 6 = 2x + 11 + 6

∴ 3x = 2x + 17

→ Subtract 2x from both sides

∵ 3x - 2x = 2x - 2x + 17

∴ x = 17

∵ m∠BCE =  \frac{1}{2} m∠BCD

→ Substitute x in the measure of ∠BCE to find it, then use it to

   find m∠BCD

∵ m∠BCE = 3(17) - 6 = 51 - 6

∴  m∠BCE = 45°

∵ 45 = \frac{1}{2} m∠BCD

→ Multiply both sides by 2

∴ 90 = m∠BCD

∴ m∠BCD = 90°

→ The measure of the acute angle is less than 90°, the measure of

   the obtuse angle is greater than 90°, and the measure of the

   right angle is 90°

∴ ∠BCD is a right angle

6 0
3 years ago
The expression 9x2 - 5x - 7 has ___ terms and a constant of ___.
lukranit [14]
Here r ur terms : (9x^2) , (-5x) , (-7)......so there r 3 terms
constant : a number by itself...no variables....so ur constant is -7
4 0
3 years ago
Read 2 more answers
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