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Crazy boy [7]
4 years ago
12

An 8.5-meter ladder is leaning against a vertical wall. How many meters is its base from the wall if the ladder reaches 7.5 mete

rs up the wall?
Mathematics
1 answer:
Monica [59]4 years ago
7 0

Answer:

  4 m

Step-by-step explanation:

The geometry is that of a right triangle with hypotenuse 8.5 m and one side of length 7.5 m. If "b" represents the distance from the base of the ladder to the wall, the Pythagorean theorem tells us ...

  b² + 7.5² = 8.5²

  b² + 56.25 = 72.25

  b² = 16 . . . . . . . . . . . . . subtract 56.25

  b = 4 . . . . meters . . . (take the square root)

The base of the ladder is 4 m from the wall.

_____

You may recognize this as the 8-15-17 Pythagorean triple, scaled by 1/2.

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babunello [35]

Answer:

she bought 12 pencils

Step-by-step explanation:

6(5-3)

6(2)=12

6 0
3 years ago
Gloria Adams is starting a new job. She will be paid $10.50 per hour. She plans to work 40 hours per week for 60 weeks a year. W
DedPeter [7]

Answer:

Gross yearly pay = $25,200

Benefits = $7,560

Total value = $25,200 + $7,560 = $32,760.

Step-by-step explanation:

We know that she will be paid $10.50 an hour. Assuming she works 40 hours per week, that amounts to $420. Multiply that by 60 weeks a year and we get $25,200.

To find the benefits, you simply multiply $25,200 by 0.30 to get $7,560.

Then, the total value is found by just adding the two numbers together as such.

4 0
4 years ago
What is a formula for the nth term of the given sequence?<br> 1,4, 7...
Anika [276]

Answer:

3n-2

Step-by-step explanation:

4-1=3(term to term sequence)

1-3=-2

6 0
3 years ago
A computer has a price of $400.with sales tax,it will cost $416. What is the sales tax percentage
lozanna [386]

100 - 80% = 20 %

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416 x 5 = $2080 = 100%

5 0
3 years ago
FREE POINTS!!!!
algol13

Answer:

a ≈

2.594

b ≈

2.705

c ≈

2.718

d ≈

2.718

e ≈

2.718

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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