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antoniya [11.8K]
1 year ago
14

Picture below. Find a.

Mathematics
2 answers:
bonufazy [111]1 year ago
7 0

Hello!

We are given a 45° angle. We have the length of the hypotenuse, along with a being the opposite side. If we think of this in terms of trigonometric ratios, we know that the sine deals with the opposite side and hypotenuse. Let's find our sine.

sin45≈0.71

As the sine is the opposite side divided by the hypotenuse, we get the equation below.

a/6=0.71

To find a, we multiply both sides of this equation b 6.

a=4.26

Therefore, a is about 4.26

I hope this helps!

Angelina_Jolie [31]1 year ago
7 0
Hey here is the answer to ur question,
Hope this helps u...!!

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What is domain and range
umka2103 [35]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

5 0
1 year ago
Let the mean of the population be 38 instances of from 6" - 9" hatchings per nest, and let the standard deviation of the mean be
Masja [62]

Answer:

Mean of the population having 6"-9" Hatching =38

Standard Deviation =4

Step-by-step explanation:

Confidence interval of 95% means that 95% of data lie within two standard deviations.

That is data values lie between 38-2×4 to 38 +2×4.

⇒Which is 38-8 to 38+8.

⇒30 to 46.

it is also given that margin of error is 2.5%.

So, the data value will lie between

Mean of beginning value to extreme value of 95% confidence level

  

So, Sample mean of this observation having 2.5% margin of error = 38

Option D:→ 38

5 0
1 year ago
-3x-2>-4x+10 solve and graph.
Arlecino [84]
+3 > +3
> 1
-10>. -10
-12 >1x
-12>x
4 0
2 years ago
True or false please help it’s due right now
Free_Kalibri [48]

Answer:

false

Step-by-step explanation:

Triangle = 5*6=30/2=15

Parallelogram = 6*5 = 30

7 0
1 year ago
Read 2 more answers
From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga
jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that n = 1186, \pi = \frac{248}{1186} = 0.2091

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So \alpha = 0.10 , z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285

The 90% confidence interval is (0.1897, 0.2285).

3 0
1 year ago
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