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3 years ago

Please help! Thank you

Mathematics

1 answer:

Rudiy273 years ago

8 0

Answer:

Step-by-step explanation:

since it is an isosceles triangle other two angles are 45 and 45 degree.

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/ $\sqrt{2$ =x/ $\sqrt{12$

do cross multiplication

x $\sqrt{2$ = $\sqrt{12$

x= $\sqrt{12$ / $\sqrt{2$

x= $\sqrt{3$

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There are s swimmers in the swimming club. The club bought 16 swimming caps to split among its members. Write an expression that

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Take the 16 swimming caps and divide them by the s swimmers to get the expression 16/s.

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3 years ago

Read 2 more answers

(3 points) A survey of 15651565 people who took trips revealed that 178178 of them included a visit to a theme park. Based on th

igor_vitrenko [27]

Answer:

We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.

Step-by-step explanation:

let p be the proportion of trips included a visit to a theme park.

$H_{0}$ : p=0.12

$H_{a}$ : p<0.12

To test, we need to calculate test statistic of the sample proportion as:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of trips included visit to a theme park ( $\frac{178}{1565}=0.1137$

p is the proportion assumed under null hypothesis. (0.12)

N is the sample size (1565)

Using the numbers, z= $\frac{0.1137-0.12}{\sqrt{\frac{0.12*0.88}{1565}}}$

= −0.767 and p(z) is ≈0.222

Since 0.222 > 0.05 we fail to reject the null hypothesis.

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2 years ago

A solar energy project is expected to have capital costs of $995,000, average yearly operating costs of $175,000, and a lifetime

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Capital costs of the Solar Energy Project is expected at $ 995,000.

Average yearly operating costs are $ 175,000. The project is estimated to run for 25 years, producing a total 89,500,000 kWh.

LCOE = Levelized Cost of Energy = $\dfrac{\text{Capital costs + (Average yearly operating costs)}\times\text{(Number of project years)}}{\text{Total Production}}$

LCOE = $\dfrac{995,000+(175,000)\times(25) }{89,5000,000}=\dfrac{5,370,000}{89,500,000}=0.06\text{ }\frac{\$}{kWh}$

∴ Levelized Cost of Energy = $ 0.06 per kWh

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3 years ago

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I think the answer will be B. Hope it help!

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3 years ago

The number of fruit in a population doubles every day. Everett collected 6 fruit flies for an experiment. After a certain number

mel-nik [20]

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3 years ago

Please help! Thank you​

Please help! Thank you