Find the irrational number. Links or spam will result in reporting.
1 answer:
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By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>How to get the measures of the other two sides of the right triangle?</h3>Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
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Answer:
Given :An Internet survey was e-mailed to 6977 subjects randomly selected from an online group involved with ears. There were 1337 surveys returned.
To Find : Use a 0.01 significance level to test the claim that the return rate is less than 20%.
Solution:
n = 6977
x = 1337
We will use one sample proportion test
We are given that the claim is the return rate is less than 20%.
Formula of test statistic =
=
=
Refer the z table
P(z<-1.85)=0.0332
Significance level = 0.01=α
Since p value > α
So, we accept the null hypothesis .
So,the claim that the return rate is less than 20% is false.