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Ad libitum [116K]
2 years ago
5

You need to cross a canal and want to determine the distance across the opposite side. Since you're able to take measurements on

your side of the canal, you come up with 40 ft. and 16 ft. Find the distance x across the canal . Show all work
Mathematics
1 answer:
MariettaO [177]2 years ago
8 0

Answer:

36.7 ft

Step-by-step explanation:

Measurements for the sides of the canal is given as: 40 ft. and 16 ft.

You solve the above question using Pythagoras Theorem

The distance across the canal is calculated as:

√(40² - 16²)

= √(1344)

= 36.66060556 ft

Approximately = 36.7 ft

Therefore, the distance x across the canal = 36.7 ft

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sukhopar [10]
B and c are the answers
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3 years ago
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A student finished 72 of her homework problems in class. If the ratio of problems she finished to problems she still had left wa
kramer


Finished:Left

8:1

8/1 = 72/x

Cross Multiply

8x=72

divide each side by 8

x=9

She already finished 72 and has 9 remaining

Total = Finished + Remaining = 72 + 9 = 81

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2 years ago
Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that
svetoff [14.1K]
Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,       
 
        y = mx + b 

where m is slope and b is the y-intercept.

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
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C. 3x + 4y = 2
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D. -4y + 3x = -2
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6 0
3 years ago
A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 20 square feet. Find the
klemol [59]

Answer:

Length = 5 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is:

Area = Length x Width

The problem said that the width is 1 foot shorter than the length. This can be shown like this:

Width = (Length - 1)

Going back to our formula for finding area, we can replace Width with (Length - 1). We can also put 20 as the area since the problem already told us that the area of the rectangle is 20 square feet. By now, your equation should look similar to this:

Area = Length x Width

Area = Length x (Length - 1)

20 = Length x (Length - 1)

Now, we can go on to figuring out what the length is. For now, the length is going to be referred to as ' x '.

20 = Length x (Length - 1)

20 = (x)(x - 1)

*Distribute x to (x - 1)*

20 = x² - x

*This is beginning to look like a quadratic equation. Let's move all of the terms over to one side.*

20 = x² - x

0 = x² - x - 20

*It would appear that we need to factor this equation to get our answer.*

x² - x - 20

This would be the factored version of our equation because the factors -4 and 5 give us a product of -1 but also give us a sum of -1.

(x - 5) (x + 4)

From here, our options are narrowed down to 5 and -4. As we know, lengths cannot be real which means...

Length = 5 feet

~Hope this helps!)

5 0
3 years ago
Help ASAP also explain
Ilia_Sergeevich [38]
Whats the problem? I think you mightve forgotten to take a pic of it
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2 years ago
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