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scoundrel [369]
3 years ago
10

A latter leans agains the side of a house.The top of the ladder is 24ft from the ground. The bottom of the lAdder is 7ft from th

e side of the house. Find the length of the ladder.
Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

25 feet

Step-by-step explanation:

You can superimpose a triangle in this situation.  The height from the ground to the top of the ladder along the wall is one leg of the triangle, the distance the ladder is from the wall is the other leg, and the length of the ladder is the hypotenuse.  

Use Pythagorean theorem to solve, which is a² + b² = c² where a, and b are the legs, and c is the hypotenuse...

We have

7² + 24² = c²

   49 + 576 = c²

       625 = c²

        25 = c          

*Tecnhically the answer is ±25, but it's a length, so we disregard the negative answer.

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What are the next two terms in the sequence?
DiKsa [7]

Answer:

53, 64

Step-by-step explanation:

4 0
3 years ago
You want to draft a four ­player tennis team. There are eight players to choose from. How many different teams can you form?
Butoxors [25]

We want to make a 4 players team, and there are total 8 players. As we know the order of selection does not matter in a team of players, only the combination of players matters.

So we would use concept of Combinations and It will be choose 4 out of 8 players.

The formula for Combination is given as follows :-

nCr = \frac{n!}{r!*(n-r)!} \\\\
Choose \;4 \;out \;of \;8 \;players \\\\
8C4 = \frac{8!}{4!*(8-4)!} = \frac{8!}{4!*4!} \\\\
8C4 = \frac{8*7*6*5*4*3*2*1}{(4*3*2*1)*(4*3*2*1)} = \frac{8*7*6*5}{4*3*2*1} =\frac{1,680}{24} = 70 \;combinations

Hence, Total number of different teams = 70 combinations.

4 0
3 years ago
Can someone help me with this
jarptica [38.1K]

The answer is:

x=-8

Because:

If you pick a number(-8) to fill in the equation written below

5x+20+5x=5x-20

After applying the -8 to x you get

-40+20-40=-40-20

When you simply the both sides you get

-60=-60

And that’s right -60 is equal to -60!

5 0
4 years ago
Read 2 more answers
Alvin's age is two times Elga's age. The sum of their ages is 69. What is Elga's age?
kicyunya [14]

Answer:

23

Step-by-step explanation:

69 divided be 3

= 23

step 2

23 + 23 = 46 ( Alvin age)

step 3

69 -46= 23 Elga age

6 0
3 years ago
Read 2 more answers
After collecting the data, Maria finds that the number of points per game for a certain basketball player is normally distribute
kolezko [41]

Answer:

Step-by-step explanation:

Since the number of points per game for a certain basketball player is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = number of points per game

µ = mean

σ = standard deviation

From the information given,

µ = 14 points

σ = 2 points

The probability that in a randomly selected game, the player scored more than 8 points is expressed as

P(x > 8) = 1 - P(x ≤ 8

For x = 8,

z = (8 - 14)/2 = - 3

Looking at the normal distribution table, the probability corresponding to the z score is 0.00135

P(x > 8) = 1 - 0.00135 = 0.9987

Converting to percentage, it becomes

0.9987 × 100 = 99.87%

5 0
3 years ago
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