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erica [24]
3 years ago
9

Christina is building a slide for her kids. The ladder is 4 feet tall and the slide is 9 feet long. What is the distance between

the ladder and the bottom of the slide? If necessary, round to the nearest tenth.​
Mathematics
1 answer:
xxMikexx [17]3 years ago
7 0

Answer: 8.1ft

Step-by-step explanation:

It may help to draw it out but for this question you would have to use pythagoras' theorem.

The formula for the shorter side is a²=c²-b²

The height of this triangle is 4ft (b) and the hypotenuse (the diagonal that stretches from the top to the bottom) is 9ft (c).

When we put the numbers in the formula you get a²=9²-4²

9²=81

4²=16

a²=81-16

a²=65

Then because we want to find a on it's own you would have to square root 65 which is 8.1 (to the nearest tenth)

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Use elimination to solve each system if equation 3x+2y=0and x-5y=17
kotykmax [81]

Answer:

y = -3

x=2

Step-by-step explanation:

3x + 2y = 0

x - 5y=17

to use the elimination you have to make one of the numbers same

so

3(x-5y=17)

and you would have to change the sign so that both of the 3x could cancel out.

New system of equation

3x + 2y = 0

-3x+15y=-51

17y=-51

y = -3

so we know the y value so now you could find the x value take one equation

x - 5y=17

x +15=17

x = 2

you could try it with both of the equations

3x + 2y = 0

3x + - 6=0

3x-6=0

3x=6

x=6/3

x=2

6 0
3 years ago
Select the correct answer from each drop-down menu. Which system of equations is represented by this graph? Graph shows system o
AleksandrR [38]

The equation of the line going through (-6, 0) and (0, -3) is y = -(1/2)x - 3

The equation of the line going through (0, 3) and (-4, -5) is y = 2x + 3

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The equation of the line going through (-6, 0) and (0, -3) is:

y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))

y = -(1/2)x - 3

The equation of the line going through (0, 3) and (-4, -5) is:

y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)

y = 2x + 3

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
A rectangle has a perimeter of 30 feet and an area of 50 square feet. What are the dimensions of the rectangle.
KiRa [710]

I believe the shorter sides are 5 feet and the longer ones are 10. This is because when you add up the two shorter sides as 10, and the other two as 20, then add them up to 30. That's the perimeter. For the area, you would do 10•5 to get 50 for the area

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
zaharov [31]
Wouldn’t it be 0, as that’s when their values are both equal to each other, making the equation true?
4 0
3 years ago
In a survey of 200 professors at Gotham University, professors were asked, “Regarding your weight, do you think you are: About r
DochEvi [55]

The probability that a randomly selected professor is female and feels "About Right" is 0.40

The distribution table :

____About right _ Oweight _ Uweight __ Total

Female _ 80 _____ 39 ______ 3 _______ 122

Male ___ 52 _____ 10 ______ 16 _______ 88

Total ___ 132 ____ 49 ______ 19 _______ 200

Oweight = Overweight

Uweight = Underweight

Recall :

Probability = required outcome / Total possible outcomes

Probability that a selected professor is female and feels 'About right' :

Required outcome = number of female professors who feels 'About right' = 80

Total number of professors = 200

Hence,

P(Female and 'About right') = 80/200 = 0.40

Learn more : brainly.com/question/11234923

3 0
3 years ago
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