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Alexxx [7]
2 years ago
9

Pe

Mathematics
1 answer:
Ludmilka [50]2 years ago
7 0

Answer:

The height of the lamp post is 15 feet ⇒ 1st answer

Step-by-step explanation:

The ladder , the lamp post and the ground formed a right triangle, the length of the ladder is its hypotenuse (l), the height of the lamp post (h) and the horizontal distance on the ground between the base of the ladder and the base of the lamp post (d) are the legs of the triangle

By using Pythagoras Theorem ⇒ <em>the square of the hypotenuse is equal to the sum of the squares of the other two legs</em>

∵ l² = h² + d²

∵ The length of the ladder is 25 feet

∴ l = 25

∵ The ladder is placed 20 feet from the lamp post

- That means the distance between the base of the ladder and

   the base of the lamp post on the ground

∴ d = 20

- Substitute the values of l and d in the Pythagoras formula

∵ (25)² = h² + (20)²

∴ 625 = h² + 400

- Subtract 400 from both sides

∴ 225 = h²

- Take √  for both sides

∴ 15 = h

∴ The height of the lamp post is 15 feet

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5 0
3 years ago
1. Jackie is saving money to buy a new cell phone. The cell phone costs $175, but she has
Serggg [28]

Answer:

32%

Step-by-step explanation:

<h3>Given that:</h3>
  • Jackie is saving money to buy a new cell phone.
  • The cell phone costs $175
  • she has already saved $56
<h3>To find:</h3>
  • The percent of the cost of the cell phone has Jackie saved

In order to find the percent of the cost of the cell phone has Jackie saved,

  1. divide the cost of the cell phone by the amount of the money Jackie saved
  2. Multiply the result (1) by 100

See below how it's done:

\dfrac{56}{175}  \times 100

dividing yields:

0.32 \times 100

multiplying yields:

32\%

Alternative:

Instead of dividing,we can consider reducing the fraction and multiply that with 100 to get the answer.

\dfrac{56}{175}  \times 100 \\  \implies  \frac{8}{25}  \times 100 \\ \implies 8 \times 4 \\  \implies \boxed{32\%}

In conclusion:

Jackie has saved 32% of the cost of the cell phone

7 0
1 year ago
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