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stiv31 [10]
4 years ago
13

The sum of two angles is sometimes always or never an obtuse angles

Mathematics
1 answer:
marishachu [46]4 years ago
7 0
If one angle is right or obtuse, the other two angles must be acute in order for the angle sum to be exactly 180 degrees. Answer with sometimes always or never
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Find sin0, cos0, tan0
djverab [1.8K]

Answer:

sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5

Step-by-step explanation:

We need to find sine, cosine, and tangent of theta for this triangle.

First, define the different trigonometric functions:

- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)

- cosine is the adjacent side next to the angle divided by the hypotenuse

- tangent is the opposite side to the angle divided by the adjacent side

Now, look at theta (θ):

- the opposite side is marked 12

- the adjacent side is marked 5

- the hypotenuse is marked 13

So:

- sin(θ) = opposite / hypotenuse = 12/13

- cos(θ) = adjacent / hypotenuse = 5/13

- tan(θ) = opposite / adjacent = 12/5

Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.

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Please help im stuck on this question​
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Answer:

(12,0)

Step-by-step explanation:

slope m=

\frac{54-36}{27-22} =\frac{18}{5}

y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}

0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18}   =12

hope it helps...

have a great day

7 0
3 years ago
Andrea and Ashley are middle distance runner's for the schools traffic and FaceTime in the 500 m race are approximately normally
swat32

Answer:

0.006 is the probability that the record will be broken in next year.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 62 seconds

Standard Deviation, σ = 0.8 seconds

We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

The record will be broken if the time is less than 60 seconds.

P(time is less than 60 seconds)

P(x < 60)

P( x < 60) = P( z < \displaystyle\frac{60 - 62}{0.8}) = P(z < -2.5)

Calculation the value from standard normal z table, we have,  

P(x < 60) =0.006 = 0.6\%

Thus, 0.006 is the probability that the record will be broken in next year.

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