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Alexxx [7]
3 years ago
9

Pe

Mathematics
1 answer:
Ludmilka [50]3 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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nekit [7.7K]

GCF of 25, 35 and 45 is 5

Step-by-step explanation:

The greatest factor that divides all given numbers is called the greatest common factor.

In case of 25, 35 and 45, the greatest number that will divide all three will be the GCF

For that, we have to find the factors of all numbers

25 = 1,5,5\\35 = 1,5,7\\45 = 1,3,5,9

By observing the factors we can say that the greatest common factor is 5

Hence,

GCF of 25, 35 and 45 is 5

Keywords: GCF, Factors

Learn more about GCF at:

  • brainly.com/question/6465937
  • brainly.com/question/6431715

#LearnwithBrainly

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4 years ago
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koban [17]

Answer:

B

Step-by-step explanation:

You know it's not A because there is more than 7 hundreds

It's also not C because it would have to be 7 ones, not 7 tens

7 0
3 years ago
Read 2 more answers
Ace Truck leases its 10-ft box truck at $20/day and $0.50/mi, whereas Acme Truck leases a similar truck at $15/day and $0.55/mi.
Masja [62]

Answer:

a) f(x) = 0.5 \frac{dollars}{day} x + 20

g(x) = 0.55 \frac{dollars}{mi} x + 15

b) f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

Step-by-step explanation:

Assuming the following questions.

(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.

For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:

f(x) = 0.5 \frac{dollars}{day} x + 20

Where x represent the  number of miles driven

For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:

g(x) = 0.55 \frac{dollars}{mi} x + 15

Where x represent the miles driven.

We can see the plot on the figure attached.

(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?

If we replace the value x=70 for both functions we got:

f(70)=0.5*70 +20 =55

g(70)= 0.55*70 + 15 =53.5

If we want to minimize the cost then we should rent the Acme Truck company.

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3 years ago
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soldi70 [24.7K]

Answer:

x = 114

Step-by-step explanation:

114 and x are vertical angles, therefore they are congruent.

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REY [17]
For something to float the buoyant force ( force pushing up on the object to keep it floating) needs to equal the weight of the object

 the answer would be: <span>weight of the ball</span>



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