Applying the Pythagorean theorem, the height of the building is: 24.9 m.
<h3>How to Apply the Pythagorean Theorem?</h3>
Where c is the length of the hypothenuse of a right triangle, and a and b are the legs of the right triangle, the Pythagorean theorem states that:
c = √(a² + b²).
The diagram of the building and its shadow form a right triangle as shown in the image below, where:
a = height of the building
b = 26
c = 36
Applying the Pythagorean theorem, we will have:
a = √(36² - 26²)
a = √(36² - 26²)
a = 24.9 m
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Answer: 1,040
Step-by-step explanation: Just find 26 of 40
26*40=1040
Answer:
Melissa needs to drive 325 miles for the two plans to cost the same
Step-by-step explanation:
<u>Plan A</u>
Initial Fee = 65
Additional cost per mile = 0.50 per mile
<u>Plan B</u>
Initial Fee = 0
Additional cost per mile = 0.70 per mile
Required
Mile both plans will cost the same
Let


So, we have:

For plan A


For plan B


So, we have:
--- plan A
--- plan B
Both plans will cost the same when




Divide by 0.20

Hello from MrBillDoesMath!
Answer: x = 8
Discussion:
I interpret the question as follows:
3^(4x-1) = 3^31 find x.
Since the above bases are both 3, we need to equate their exponents and solve.:
4x-1 = 31 -- subtract 1 from each side.
4x = 32 =>
x = 8
Thank you,
MrB
Answer:
B) A one-sample t-test for population mean would be used.
Step-by-step explanation:
The complete question is shown in the image below.
The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.
The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.
Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.
If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.
Therefore, we can conclude that A one-sample t-test for population mean would be used.