Answer:
I made the assumption those were right triangles.
Step-by-step explanation:
I like your 30 there.
I found the length in orange by doing 55-30=25.
Now we can try to find the length in light purple by doing orange length plus the length you found which is 25+30=55.
So we can use a trig function to find 
.
I made another picture to focus our problem more.
Now if you look at the triangle we have here and refer to trig right triangle definitions, we can setup an equation form this.
The opposite side of the angle, whose measurement is 
degrees, is .
The adjacent side of the angle, whose measurement is degrees, is 
.
So I will use the tangent ratio.
Multiply both sides by 55:
Now it is handy dandy calculator punching in time:
Answer:
275 cents.
Step-by-step explanation:
Answer:
C (√10)/2
Step-by-step explanation:
Multiply numerator and denominator by √10. Then you have ...
... (5√10)/10 = (√10)/2
_____
Of course, you can always compare the given answers by using your calculator.
5/√10 ≈ 1.58114
The answer choices are ...
... A: 1.41421
... B: 2.23607
... C: 1.58114 . . . . matches the given expression in value
... D: 0.707107
_____
If you're familiar with the square roots of small integers, you can do this last exercise in your head once you have calculated 5/√10. That is, you can eliminate choices A, B, and D.
... √2 ≈ 1.414; √3 ≈ 1.732; √5 ≈ 2.236
Answer: 54
Step-by-step explanation:
We know that 45 is 5/6. So that means 45/5=9. 9 is 1/6. 9x6=54 is 54. 54 is the number.
Answer:
Ther has been an increase in the selling time.
Step-by-step explanation:
Step 1. Specify the null hypotesis
In this case, we have to demonstrate that the selling time is now different than before the drought.
Step 2. Choose a significance level
In this problem, is 0.10
Step 3. Compute the mean
In this case, the mean of the sample is 94.
Step 4. Compute the probability value (p) of obtaining a difference between the mean of the sample and the hypothesided value of μ.
The degrees of freedom are calculated as (N-1) = (100-1) = 99. Then we can look up in the t-table (http://davidmlane.com/hyperstat/t-table.html) to calculate the probability value of a t of 1.818 with 99 degrees of freedom. The value of this probability is 0.05.
Step 5. Compare the P-value (0.05) with the significance level (0.10). Since the P-value is less than the significance level, the effect is significant.
Since the effect is significant, the null hypotesis is rejected.
It is concluded that the mean of the selling time has changed (increase) from its previous value.
