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aleksandr82 [10.1K]
3 years ago
6

Mark needs to cut a piece of glass to replace a broken window. He has four pieces of glass: 6 feet long, 5 feet long, 3 feet lon

g, and 7 feet long. If the length of the glass he needs to cut is square root 20 feet long, which piece of glass should he cut to have the least amount of unused glass?
Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Answer: He will use 5 feet long to have the least amount of unused glass.

Step-by-step explanation:

Since we have given that

There are four pieces of glass i.e.

6 feet long, 5 feet long, 3 feet long, 7 feet long .

If the length of the glass he needs to cut is \sqrt{20} feet long,

Then,

\sqrt{20}=4.47\ feet\ long

So, Mark will use 5 feet long  he should use  cut to have the least amount of unused glass.

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Which expression is equivalent to "-4 - (-5)"?<br> 5 - (-4)<br> 5 + 4<br> -4 + 5<br> 4 + 5
kodGreya [7K]
The answer is -4 + 5
7 0
3 years ago
Read 2 more answers
Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Aleks [24]
Call T the price of the T-shirts and P de price of the jeans

Initially (without discount)
2T + P = 40

One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60

To solve the system of equations multiply the second equation by 2 and substract it from the first equation

   2 T + 5P = 120
- (2 T +   P = 40 )
________________

           4P = 80

P = 80/4
P = 20

From 2T + P = 40

T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.

The price of a T-shirt is $10 and the price of a pair of jeans is $20.
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D%20%2B%20%5Csqrt%5B3%5D%7B0.027%7D%20-%20%5Csqrt%5B3%5D%7B125%7D" id="
e-lub [12.9K]
Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again

10 + 3 square root 27/1000 - 5

Step 2: calculate the cube root

10 + 3/10 -5

Step 3: subtract the #’s

5 + 3/10

Step 4: calculate and you get

53/10


Answer: 53/10

3 0
3 years ago
What is the equation of a line that its parallel to -3x+4y=4 and passes through the point (4,0)?
anzhelika [568]

Answer:

y=3/4x-3

Step-by-step explanation:

Okay so to be parallel to an equation of another line, the line must have the same slope but a different y-intercept. First, you need to find the slope of the equation -3x+4y=4. The equation must be in y=mx+b format, so you first move -3x to the right by adding it on both sides, leaving you with 4y=3x+4. Next, you divide 4y by 4 in order to isolate y and do that on the other side. Now, you have y=3/4x+1.

To find the equation of the new line, you must put the point and slope into point slope form: y-y1=m(x-x1). In the point (4, 0), 4 would be x1 and 0 would be y1. so, the new equation is y-0=3/4 (x-4). now, distrubute the 3/4, leaving you with y=3/4x-3. This is correct since the slope remains the same in both equations with a different y-intercept. To check deeper, you could place point (4, 0) on a graph and then rise 3, run 4 until you get the line :) hope this helps

7 0
2 years ago
The area of a rectangle is 42 square millimeters. The length is 7 millimeters. What is the perimeter of the rectangle?
Aleks [24]

Answer:

26 mm

Step-by-step explanation:

A=wl= 42 mm²

l=7, w= 42/7= 6 mm

P=2(l+w)= 2(7+6)= 26 mm

8 0
3 years ago
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