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jasenka [17]
3 years ago
10

Find tan if sin= 21/35. 37 points ​

Mathematics
2 answers:
atroni [7]3 years ago
4 0
0.75 that is your answer
LekaFEV [45]3 years ago
3 0

Answer:

tan=0.75

Step-by-step explanation:

We know sin=opp/hyp, so 21 is the opposite side length in relation to theta.

To figure out tan, we need to know what the adjacent angle is because tan=opp/adj

21 squared= 441

35 squared =1225

1225-441= 784

The square root of 784 = 28

Now that we know both the opp and adj sides, we can solve for tan.

21/28= 0.75

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Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

\bar {x}_1 = 13.5

\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0
3 years ago
How to divide<br>Please Help Me!<br>I Need It​
jeka57 [31]

Answer:

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Step-by-step explanation:

I don't see it.

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6(-2-3x)+8=68 Find x
yawa3891 [41]
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Leo has already taken 1 page of notes on his own, and he will take 1 page during each hour
sattari [20]

Answer:

49 Hours

Step-by-step explanation:

If it takes him 1 hour to finish 1 page of notes and he already finished 1, he would need to do a total of 49 hours to get 49 more pages done.

Hope this helps!

8 0
2 years ago
HURRY HELP ME. Which statement about numbers is true? All whole numbers are rational numbersS All rational numbers are integers.
iris [78.8K]

Answer:

all rational numbers are intergers

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