Answer:
The shortest length of wire that can be used is 29.47 ft.
Step-by-step explanation:
To solve this problem we can follow the following steps:
1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.

2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. <em>Observe the attached image</em>
3) The final distance (d) is:


Notice that if

, then

. Recall the definition of the derivative of a function

at a point

:

So the value of this limit is exactly the value of the derivative of

at

.
You have
Answer:
(10, 14)
Step-by-step explanation:
To solve this system let's use substitution:
Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:
3(24 - y) + 5y = 100
Performing the indicated multiplication, we get:
72 - 3y + 5y = 100
Combining like terms results in 72 - 100 = -2y, or -28 = -2y
Thus, y must be 14.
If y = 14, then the first equation tells us that x = 10.
Check: Is this true? 3(10) + 5(14) = 100 YES
The solution is (10, 14).
What was it about the questions on the best that you were supposed to compare to this solution?
Answer: 1.76
1.54
Step-by-step explanation:
we have to divide 800 by 453.592, and the result is 1.763699... rounding it: 1.76
now we do the same for 700 :
700 divided by 453.592 is 1.5432... so rounding it down: 1.54
Answer:
1/3 c flour
Step-by-step explanation:
divide 2/3 in half because you're going from 2 dozen to 1 dozen
2/3 ÷ 2 equals 2/3 x 1/2 which equals 1/3