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Yakvenalex [24]
3 years ago
10

Need answer????????????????????

Mathematics
1 answer:
zaharov [31]3 years ago
6 0

Answer: .625 I believe

Step-by-step explanation:

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Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?
Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

7 0
3 years ago
Please help with this khan academy questions
Mumz [18]

Answer:

-3,3

Step-by-step explanation:

the line reaches at the point -3 at the bootem and the top reaches 3 so how i know it would be 3 ,-3     bc the 3 is at the top and -3 is at the bottem

5 0
3 years ago
two companies offer different charges for text messaging company 1 charges 0.04 cents per text message while company two charges
Elena-2011 [213]
Company one cause the equation for it is y=0.04x. If you do y=0.04(500) u get 20$ as the total.
7 0
3 years ago
Read 2 more answers
Solve for m.<br> 22m^2 + 7m - 2 = 0
pshichka [43]

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero

5 0
3 years ago
A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg
Mkey [24]

Answer:

Length=27feet\\Width=12 feet

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

L=(2W+3) feet\\\\

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\

Using Factorization Method to solve quadratic equation:

2W^2-12W+15W-90=0

Taking common from the equation:

2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet

OR

2W+15=0\\\\2W=-15\\\\W=-7.5 feet

The Width cannot be negative, therefore Width(W)=12 feet

Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet

Length=27feet\\Width=12 feet

3 0
3 years ago
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