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abruzzese [7]
2 years ago
12

A 15m long ladder reached a window 9m high from the ground on placing it against a wall at a distance x. Find the distance of th

e foot of the ladder from the wall.
Mathematics
1 answer:
Ilya [14]2 years ago
8 0

Answer:

12 meters

Step-by-step explanation:

Given That :

Length of ladder = 15m

Height of wall =. 9 m

Using Pythagoras rule :

Adjacent² = hypotenus² - opposite²

Adjacent² = 15² - 9²

Adjacent² = 225 - 81

Adjacent² = 144

Adjacent = sqrt(144)

Adjacent, x = 12

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Answer:

5^2 + h^2 = 10^2

Step-by-step explanation:

This is a clear example of the Pythagorean Theorem, a relation of all sides in a right triangle. The equation itself is a^2 + b^2 = c^2. By simply plugging in the given values into the triangle, you would get the answer.

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3 years ago
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<em>probability</em><em> </em><em>of </em><em>getting </em><em>a </em><em>green </em><em>ball=</em><em> </em><em>5</em><em>/</em><em>2</em><em>1</em>

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4 0
2 years ago
A tree planted today has a height of 5 feet and grows one foot each month.
sammy [17]

Answer:

Liner function

x = 5 + n

Step-by-step explanation:

Given:

Height of tree = 5 ft

Grow per month = 1 ft

Find:

Equation:

Computation:

Assume;

New height of tree x

Number of month = n

x = 5 + 1(n)

x = 5 + n

3 0
3 years ago
to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac
CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u>x.<u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> y.

So, the total number of liters:

x+y=2000.

y=2000-x\ \ \ ....(1)

Now, the total percentage of saline solution:

90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000

\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000

0.9x+0.4y=1200

Substituting the value of y from equation (1) we get:

0.9x+0.4(2000-x)=1200

0.9x+800-0.4x=1200

0.5x+800=1200

Subtracting both sides by 800 we get:

0.5x=400

Dividing both sides by 0.5 we get:

x=800.

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of x in equation (1) to get the liters of 40% saline solution:

y=2000-x

y=2000-800

y=1200.

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0
3 years ago
2x2 + 2x-4?
nexus9112 [7]
Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

6 0
2 years ago
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