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Gennadij [26K]
3 years ago
6

the perimeter of the below rectangle is 120 inches. write an solve an equation to determine the length of the rectangle.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0

Answer:

24×2+36×2=120 therefore the length should be 36inches.

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3 years ago
Your engineering firm is asked to specify the maximum load for the elevators in a new building: Each elevator has mass 490 kg wh
steposvetlana [31]

Answer:

a) m =589.734kg

b) n = 8 people (rounded down)

Step-by-step explanation:

The first step is to calculate the maximum load after safety considerations (T_{max}

Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate (T_{max} we multiply this value by \frac{2}{3} (as per the given safety consideration.

Hence

T_{max} = \frac{2}{3} (19500) \\ T_{max} = 13000N

a) Now to find the maximum load in kgs, we use the following formula

(m_{0} + m)(g + a) = T_{max}

Where

m_{0} = mass of elevator

m = maximum load

g = acceleration due to gravity

a = maximum acceleration of elevator

Inputting the values and solving

m_{0} + m)(g + a) = T_{max}\\ (490 + m)(9.8 + 2.24) = 13000\\ 12.04m = 7100.4\\ m = 589.734kg

Hence the maximum load is m =589.734kg

b) To find the number of people (n) we divide the value of m by 70kg

n = 589.734 / 70

n = 8.42 or 8 people

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