Alan made a small four sided table for his office .Two sides of the table are 27 inches long and 36 inches long .If the diagonal
of the table is 40 inches ,does the table have a right angle at the corners
1 answer:
Answer:
does NOT have right angles at the corners
Step-by-step explanation:
we are given that the sides of a table are 27" and 36" long.
If we assume the table to be rectangular, then by Pythagorean formula, we can find the diagonal and compare it to the 40" that we are given.
(refer to attached)
diagonal² = 27² + 36²
diagonal² = 27² + 36²
diagonal² = 2025
diagonal = √2025
diagonal = 45 inches
because the diagonal that we found is not the same as the 40" that was given, we can conclude that the table is not a rectangle (i.e does not have right angles at the corners)
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Answer:
40 hours
Step-by-step explanation:
Lets take "x" as the # of hours it takes the lava to reach the sea
since there is a lava flow of 0.5 kilos per hour
we will multiply "x" with 0.5
0.5x
now the tube system is 20 kilometers long
this means that at a rate of 0.5 kilos per hour the lava will reach the sea once it is 20 kilometers deep
so
0.5x=20
divide "0.5" by both sides to eliminate the coefficient
x=40
it will take 40 hours for the lava to reach the sea
Hope this helps!
125 cups in 120 minutes (because 1000 oz/8 = 125 cups and 2 hrs is 120 minutes)
now reduce the fraction by dividing the numerator and denominator by 5 = (optional)
So 24n = 25 Divide both sides by 24
n= 1 1/24 cups per minute
now reduce the fraction by dividing the numerator and denominator by 5 = (optional)
So 24n = 25 Divide both sides by 24
n= 1 1/24 cups per minute