Answers:
hypotenuse = 20 feet
longer leg = 16 feet
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Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
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Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
Yes because if a negative sign is in a fraction doesnt matter where, it still show that the fraction is negative
Given the coordinates of the image of line segment RT to be R'(-2,-4) and T'(4.4), if the image produced was dilated by a scale factor of 12 centered at the origin, to get the coordinate of the end point, we will simply multiply the x and y coordinates of by the factor of 12 as shown:
For R' with coordinate R'(-2,-4), the coordinates of endpoint of the pre-image will be:
R = 12R'
R = 12(-2, -4)
R = (-24, -48)
For T' with coordinate T'(4,4), the coordinates of endpoint of the pre-imagee will be:
T = 12T'
T = 12(4, 4)
T = (48, 48)
Hence the coordinate of the endpoint of the preimage will be at R(-24, -48) and T(48, 48)
74.25 minus 38.50 equals 35.75 then do 35.75 divided by 6.50 which is 5.5 so he worked 5 and a half hours
Answer:
Step-by-step explanation:
Mean:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is
The formula for the mean of a sample is
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values entered above, the solution is:
