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kap26 [50]
3 years ago
6

The triangle abc has a side lengths ac=13 and the hypotenuse ab=14 whats the angle measurement of a

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

The angle measurement of a is 21.78°.

Step-by-step explanation:

Given : The triangle abc has a side lengths ac=13 and the hypotenuse ab=14.

To find : Whats the angle measurement of a ?

Solution :

In triangle abc,

The side length is the adjacent side of the angles a i.e. base = ac=13

The hypotenuse is ab=14.

Apply trigonometry in triangle abc,

\cos\theta=\frac{B}{H}

\cos\theta=\frac{ac}{ab}

\cos\theta=\frac{13}{14}

\theta=\cos^{-1}(\frac{13}{14})

\theta=21.78

Therefore, the angle measurement of a is 21.78°.

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Values for the labor force participation rate of women​ (LFPR) are published by the U.S. Bureau of Labor Statistics. A researche
Anna [14]

Answer:

(A) For this research we made use of the paired t test.

(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as against the alternate Hypothesis Hₐ.

From the output data we have, since the P value is 0.024 and  is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.

Note:Kindly find an attached copy of the complete question below.

Step-by-step explanation:

Solution

Recall that:

The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women​ (LFPR).

We are more interested in if there was a difference between female participation 1968 and​ 1972, a rapid change in women.

so we will check values for 19 randomly selected cities for 1968 and​ 1972,

Now,

(a) Which of this test is most appropriate for this data

The test which will be more suitable for these data will be paired to test t.

Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.

In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.

(b)By using the test you selected, explain your conclusion

Now, to test the data paired t test, we have already the null Hypothesis  H₀: In this case there  is no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and​ 1972.

However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.

In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.

Note: kindly find an attached copy of the complete question to this solution

below.

4 0
3 years ago
What is the value of x in 16 to the 2nd power = x
Zepler [3.9K]
16^2 is 16•16 so x would equal 256
4 0
3 years ago
Read 2 more answers
How can you tell when a pattern shows counting on by tens?
velikii [3]
<span><u><em>Answer:</em></u>
The difference between successive terms is 10

<u><em>Explanation:</em></u>
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

<u>Examples:</u>
<u>10, 20, 30, 40, 50, .....</u>
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

<u>37, 47, 57 , .....</u>
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)</span>
7 0
3 years ago
I’ll give brainliest!
iren [92.7K]

Answer:

okay ans is A(w)=w2+5w-1/8piw2

6 0
2 years ago
WILL MARK AS BRAINLIEST FOR THESE QUESTIONS.
laiz [17]

1.

Let the sandwich be represented by = x

Let the drink be represented by = y

As given, Joe charges $10.00 for two sandwiches and one drink, so equation becomes 2x+y=10    ....(i)

He charges $6.50 for one sandwich and one drink, so equation becomes x+y=6.50  ....(ii)

Subtracting (ii) from (i) we get

x=3.50

And as x+y=6.50

y=6.50-3.50=3.00

Hence, cost of a sandwich is $3.50 and a drink is $3.00

2.

the question is incomplete. coordinates are missing

3.

Let x represent the number of performances

cost = 8000+300x

revenue = 700x

To break even, the cost must be equal to the revenue.

8000+300x=700x

400x=8000

so x=20

Hence, 20 performances are needed to break even.

4.

Let us take x for 20% material, y for 50% material

\frac{20x+50y}{200}=30

20x+50y=6000    ......... (1)

Accounting for volumes to use, x+y=200 or x=200-y ................ (2)

Putting the value of x in (1)

20(200-y)+50y=6000

4000-20y+50y=6000

4000+30y=6000

30y=2000

y=66.67

x=200-y = 200-66.67 =133.33

Hence, 133.33 ml of 20% acetic acid and 66.67% of 50% acetic acid is needed.





3 0
4 years ago
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