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kicyunya [14]
3 years ago
9

Length of the hypotenuse of the triangle to the nearest tenth of a metre

Mathematics
2 answers:
Lemur [1.5K]3 years ago
5 0

Answer:

The length of the hypotenuse is 2.4m

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 55°

o: opposite  = 2.0m

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

we look at which meets those data between the sine, cosine and tangent

is the sine

sin α = o/ah

Now we replace the values ​​and solve

sin 55 = 2.0/h

0.81915 = 2.0/h

h = 2.0 / 0.81915

h = 2.4415 m

round to the nearest tenth

h = 2.4415 = 2.4 m

The length of the hypotenuse is 2.4m

Whitepunk [10]3 years ago
5 0

Answer:2.4

Step-by-step explanation:

sin55=2 ➗ h

0.8192=2 ➗ h

Cross multiplying we get

0.8192 x h=2

Divide both sides by 0.8192

(0.8192xh)/0.8192=2/0.8192

h=2.4

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Solve for x 13x + 7 = 5x - 20
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Answer:

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Step-by-step explanation:

SOLVE for X

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-------------------------

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8 0
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3. A researcher randomly selects a sample of 61 former student leaders from a list of graduates of UNCG who had participated in
Sophie [7]

Answer:

not statistically significant at ∝ = 0.05

Step-by-step explanation:

Sample size( n )  = 61

Average for student leader graduates to finish degree ( x') = 4.97 years

std = 1.23

Average for student body = 4.56 years

<u>Determine if the difference between the student leaders and the entire student population is statistically significant at alpha</u>

H0( null hypothesis ) : u = 4.56

Ha : u ≠ 4.56

using test statistic

test statistic ; t = ( x' - u ) / std√ n

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                        = 2.60

let ∝ = 0.05 , critical value = -2.60 + 2.60

Hence we wont fail to accept  H0

This shows that the difference between the student leaders and the entire student population is not statistically significant at ∝ = 0.05

3 0
3 years ago
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