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Solnce55 [7]
2 years ago
15

The bottom of a ladder must be placed 2 1/2 feet from the wall. The ladder is 9 feet long How far above ground is the ladder tou

ch the wall?
Mathematics
2 answers:
Gnoma [55]2 years ago
7 0

Answer:

Step-by-step explanation:

h=\sqrt{9^2-(\frac{5}{2} )^2}\\=\sqrt{81-\frac{25}{4} } \\=\sqrt{\frac{299}{4} } \\=\frac{\sqrt{299} }{2} \\\approx 8.6458\\\approx 8.65 ~ft

UNO [17]2 years ago
4 0

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem

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How many solutions can be found for the set of linear equations? Y = 7(x + 2) and y = 7x + 14
Bogdan [553]

Answer:

infinite solution

Step-by-step explanation:

because  Y = 7(x + 2) and y = 7x + 14 are the same

y = 7(x+2) = 7x + 14

eliminate to see

y = 7x + 14

-(y = 7x +14)

= 0 = 0 + 0

so it is infinite solution

4 0
3 years ago
Read 2 more answers
Faron wants to paint the four walls in his bedroom. The room measures 12 ft long, 10 ft wide and 8 ft high. There are two doors
Rainbow [258]

Answer:

319 square feet.

Step-by-step explanation:

The walls of the room (the ones on the long side) have an area of 12 x 8 = 96 square feet each one. Thus, their area is 96 x 2= 192 square feet.

The other two walls have an area of 10 x 8 = 80 square feet each one. Thus, their area combined is 80 x 2 = 160 square feet.

Therefore, we have that the total area of the four walls is

192 +160 = 352 square feet

However, we have a door and a window that won't be painted.

The area of the door is: 3 x 7 =21 square feet

The area of the window is 3 x 4 = 12 square feet

Thus, the total amount of area that won't be painted is

21 + 12 = 33 square feet.

So we are going to take the total area minus the area that won't be painted to know the total area that Faron will pain:

352 - 33 = 319 square feet.

Thus, she will paint 319 square feet

4 0
3 years ago
Four times the greater of two consecutive integers is 18 more than three times the lesser integer. What are the integers?
maw [93]
This is how I would solve it:

1st # = x                 4(x+1)=3x+18
2nd # = x+1              4x+4=3x+18
                                     4x=3x+14
                                       x=14

To check: 15x4=60; 60-42=18.       <u>1st # = 14; 2nd # = 15.</u>
5 0
3 years ago
adam is going to cook a turkey for 14 people he want 3/4lb of turkey per person 1lb =450g how much would a turkey in kg would I
klemol [59]
In this question, let us first note down all the important information's that have been provided in the question.
The number of people that Adam is cooking for = 14
Amount of turkey required per person = 3/4 pounds
Now
Total amount of turkey required by Adam to cook for 14 people = (3/4) * 14
                                                                                                     = 21/2
So 21/2 pound of turkey is required by Adam to cook for 14 people. This weight of turkey has to be converted to gram first and then to kilogram.
We already know
1 lb = 450 g
Then
21/2 lb = 450 * (21/2) gram
            = 225 * 21
            = 4721 gram
Now again we know
1000 g = 1 kg
4721 gm = (4721/1000) kg
               = 4.721 kg
So Adam needs to have a turkey weighing 4.721 gram to cook for the 14 people. I hope the procedure is clear to you.
3 0
3 years ago
Find the y-intercept of the line that has a slope of -3 and passes through (9,0)
Ann [662]

9514 1404 393

Answer:

  27

Step-by-step explanation:

For point (x, y) and slope m, the y-intercept can be found from the equation ...

  b = y -mx

  b = 0 -(-3)(9) = 27

The y-intercept is +27. The corresponding ordered pair is (0, 27).

7 0
2 years ago
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