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ycow [4]
3 years ago
12

The load that can be supported by a rectangular beam there is jointly as the width of the beam in the square of its height and i

nversely as the length of the beam a been 14 feet long with the width of 4 inches and the height of 6 inches can support a maximum load of 800 pounds if a similar board has a width of 9 inches and the height of 5 inches how long must be to support 1400 pounds
Mathematics
1 answer:
g100num [7]3 years ago
5 0

Answer:

  12.5 feet

Step-by-step explanation:

The description of the load-carrying capacity of the beam translates as ...

  load = k·w·h²/l

Filling in the numbers, we can find the constant k:

  800 lb = k·(4 in)(6 in)²/(14 ft)

  k = (800·14 lb·ft)/(144 in³) = 700/9 lb·ft/in³

__

Then the length to support 1400 lb with the other given dimensions will be ...

  1400 lb = (700/9) lb·ft/in³ × (9 in)(5 in)²/l

  l = 700·25/1400 ft = 12.5 ft

The beam must be at most 12.5 ft long to support 1400 pounds.

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\frac{75}{100}  =  \frac{90.75}{x}  \\ x = \frac{90.75 \times 100}{75}  =  \frac{9075}{75}   = 121
the answer is 121
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3 years ago
Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
Ede4ka [16]

Adele is going to be 12 years old

5 0
3 years ago
A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 550-meter head st
andrew-mc [135]

Answer:

a) distance covered by hare d1 = 8t

b) distance covered by tortoise d2 = 5t + 550

c) ∆d = 550 - 3t

Step-by-step explanation:

Given;

Speed of hare u = 8m/s

Speed of tortoise v = 5 m/s

Initial distance of tortoise d0 = 550 m

a) using the equation of motion;

distance covered = speed × time + initial distance

d = vt + d0

For hare;

d0 = 0

Substituting the values;

d1 = 8t + 0

d1 = 8t

b)using the equation of motion;

distance covered = speed × time + initial distance

d2 = vt + d0

For tortoise;

d0 = 550m

Substituting the values;

d2 = 5t + 550

d2 = 5t + 550 m

c) the number of meters the tortoise is ahead of the hare.

∆d = distance covered by tortoise - distance covered by hare

∆d = d2 - d1

Substituting the values;

∆d = (5t + 550) - 8t

∆d = 550 - 3t

6 0
3 years ago
Five pounds is 2.268 times as heavy as one kilogram. How many times as heavy is two pounds than one kilogram?
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5/2.268=2/x
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7 0
3 years ago
A plant foreman wanted to know how many hours had been spent on a particular project. He asked his supervisors to report the hou
anygoal [31]

Answer:

828.7 hours.

Step-by-step explanation:

To answer a question in which the total time has to be calculated of all the activities, first of all, all the times have to be converted to a single form. There are two types: decimals and fractions. Convert the fractions into decimals.

Department A = 202.50 hours.

Department B = 212 3⁄4 hours  = 212.75 hours.

Department C = 198.25 hours.

Department D = 215 1⁄5 hours = 215.20 hours.

Therefore, the total number of hours spent on this project by all four departments. is the sum of all the above numbers. 202.50 hours + 212.75 hours + 198.25 hours + 215.20 hours = 828.7 hours.

Therefore, the total time is 828.7 hours!!!

3 0
3 years ago
Read 2 more answers
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