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Lostsunrise [7]
3 years ago
13

The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and

inversely proportional to its length L.
a. Write an equation that expresses this prportionality
b. Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb.
c. If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support?
So far, I've got the equation. It's M=k^2wh^2/L. I need help working out the problem.
Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

Step-by-step explanation:

a) The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h, and inversely proportional to its length L. If k represent the constant of proportionality, the expression would be

M = kwh²/L

b) if w = 4 inches, h = 6 inches, length = 12 ft

1 foot = 12 inches

12 ft = 12 × 12 = 144 inches. Therefore

L = 144 inches

M = 4800lb

Substituting these values into

M = kwh²/L, it becomes

4800 = (k × 4 × 6²)/144

4800 = k

The equation becomes

M = 4800wh²/L

c) if L = 10ft(10 × 12 = 120 inches),

h = 10 inches

w = 3 inches, then

M = 4800 × 3 × 10²/120

M = 12000 lbs

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Urgent! correct answer will receive brainliest
Naddik [55]

Answer:

M = (3, 3.25)

Step-by-step explanation:

First, using the internal selection formula

Given

m:n = 3:5

(x1,y1) =(0,1)

(x2,y2) =(8,7)

M={[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}

M = (3, 3.25)

2.

M is the point on XY that is 3/8 of the way from X to Y.

x-coordinate of M = 0 + (3/8)(8) = 0 + 3 = 3

y-coordinate of M = 1 + (3/8)(6) = 1 + 2.25 = 3.25

So, M = (3, 3.25)

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2 years ago
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Answer:

(D) 11: 00

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We have been given that Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. Brian leaves Marquette at 9:00 AM heading for Escanaba on his bike.

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Let us divide 56 by 28 to find time taken to complete 56 miles.

\frac{56}{28}=2.

Since it will take them 2 hours to cover 56 miles, therefore, they will meet 2 hours after 9:00 AM that is 11:00 AM.

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