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DENIUS [597]
3 years ago
9

To wash a window that is 12 feet off the ground, Mason leans a 20-foot ladder against the side of the building. To reach the win

dow, how far away from the building should Mason place the base of the ladder?
Mathematics
1 answer:
daser333 [38]3 years ago
7 0

Answer:

by clumbing the ladder

Step-by-step explanation:

The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

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Can anyone help me solve these linear systems using substitution?
Andre45 [30]

Answer:

1. (2,2)

2. (-20, -1)

3. (4,3)

Step-by-step explanation:

See attached images

4 0
2 years ago
Read 2 more answers
At a gas station, it takes 14 seconds to pump 2 gallons of gas. if the amount of gasoline pumped varies directly with time, how
EleoNora [17]

Answer:

See below:

Step-by-step explanation:

If we do this, we know that 2 gallons takes 14 seconds. (2:14)

Based on that data, we can know that 1 gallon takes 7 seconds. (1:7)

-> 2/14 = 1/7

Now we can multiply by 12 to get 12 gallons on one side.

What we do on one side has to happen to the other side.

So, 12 gallons * 1 gallons = 12 gallons and 12 gallons * 7 gallons = 84 gallons.

So the final answer is 85 gallons,

7 0
3 years ago
Read 2 more answers
Marcus painted 1/3 of his bedroom in 4/5 of an hour. At this rate, how long would it take him the paint the entire room? I need
expeople1 [14]
So it took him 4/5 of an  hour to paint 1/3 
that means there is still 2/3 to go 
so that means that he will have two times that time to paint the rest of the room
<u>4/5</u>    = <u> ? </u>
1/3       2/3 

using cross multiplication

(4/5)(2/3) = (1/3) (?)
8/15 = 1/3 ?
divide both sides by 1/3
so that will be 8/5
that means it will take 8/5 of an hour to complete the rest 
or 12/5 total to do entire room

Hope this helps ;)
7 0
3 years ago
A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.
denpristay [2]

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

Dividing both sides by 2

\frac{2a^2}{2}=\frac{100}{2}\\a^2=50

Taking Square root on both sides

\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft

Now,

P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft

Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

5 0
4 years ago
Graph the inequality. -8 &lt; y + 2x &lt; 14
kap26 [50]

Answer:

Step-by-step explanation:

Split it into 2 inequalities:

-8 < y + 2x

y + 2x < 14

Isolate y , subtract 2x from first and then from second

-8 -2x < y

y < 14 -2x

Rewrite it so it looks pretty?

y > -2x-8

y < -2x +14

You can use the calculator to graph each inequality.

The solution or the system is the area where the 2 solutions for each line overlap.

7 0
3 years ago
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