Hope this picture helps!

<span>The 2.7 has been broken into 2 and 0.7, and then both of these parts have been multiplied by 3, giving you the two answers of 6 and 2.1 shown. Adding these two together gives you the answer of 8.1. </span>

5 0

2 years ago

The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the square of the depth, d, and in

MakcuM [25]

Answer:

joint variation means L (safe load) is directly proportional to both w and d2

inverse proportionality means L = k/l

So the equation is:

L = k(wd2/l)

You are given:

w = 6 in

d = 5 in

l = 12 ft

L = 7666 lbs

7666 = k(6*52/12)

Solve for the constant, k.

7666 = k (6*25/12)

7666 = k (150/12)

7666 = k (12.5)

613.28 lbs/(ft.in3) = k

Use this k-value to solve for L in the last part of the question.

What safe load, L would a beam 3 in. wide, 7 in. deep and 15 ft long of the same material support? (Round off your answer to the nearest pound.)

w = 3 in

d =7 in

l = 15 ft

k = 613.28 lbs/(ft.in3)

Final Safe load = 6010.144 lbs *** Edited for clarity and to fix a multiplication erro

5 0

7 months ago

Imagine each letter of the word "Mathematical" is written on individual pieces of paper and placed in a bag. Should you pick a r

Colt1911 [192]

Answer: 5/12

Step-by-step explanation:

The word "Mathematical" has 12 letters, and 5 of them are vowels.

8 0

2 years ago

Read 2 more answers

Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original

abruzzese [7]

Answer:

d. 9x + 63 and 63 square feet

Step-by-step explanation:

Given

Original

$Length = x$

$Width = 9$

Extended

$Length = x + 7$

$Width = 9$

$Area = 9(x + 7)$

Required

Determine an expression and the value of the extended area

First, we calculate the area of the original desk

$A_1 = x * 9$

$A_1 = 9x$

From the given parameters, we have:

$Area = 9(x + 7)$ --- area of the new surface

Open bracket

$Area = 9x + 63$

The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)

So:

$Area = A_1 + E$

Make E the subject

$E= Area - A_1$

$E= 9x + 63 - 9x$

$E= 63$

Hence, the area of the extended portion is 63

7 0

2 years ago