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DerKrebs [107]
3 years ago
15

Three energy saving improvements are advertised to save 25%, 55% and 20% of the energy used. A homeowner makes these three impro

vements in succession. What overall percentage saving can be expected?
Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
Let the original electricity units used without energy savings be 100 units. 
After the first energy saving improvement, the energy used 
is 100 U - 25% of 100 U = 75U

After the second energy saving improvement, the energy used is
75U - 55% of 75 U = 33.75 U

After the third energy saving improvement, the energy used is
33.75 U - 20% of 33.75 U = 27U

Therefore, the overall percentage saving is 100U - 27U = 73U or 73%


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Need answer asap!!!!!<br><br> how would i solve this?
lesya [120]

The height of the building to the nearest tenth of a meter is; 13 m

<h3>How to make use of Cosine Rule?</h3>

The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;

15/x = sin 36°

x = 15/sin 36

x = 25.52 m

Angle between that slant line and base of building is;

90 - tan⁻¹(1.5/14) = θ

θ = 83.88°

Remaining angle of the bigger triangle is;

180 - (36 + 83.88) = 60.12°

Thus, if the height of the building is h, then;

h/sin 36 = 25.52/sin 60.12

h = 13 m

Read more about Cosine Rule at; brainly.com/question/4372174

#SPJ1

5 0
2 years ago
Sam has $15 more dollars than Sarah, Casey has 2 times as much as Sam. The total they have all together is $95, how much money d
Alja [10]

Answers:

  • Sarah has  $12.50
  • Sam has  $27.50
  • Casey has  $55

======================================================

Explanation:

x = amount of money Sarah has

x+15 = amount of money Sam has, since he has $15 more than her

2(x+15) = amount of money Casey has, since he has twice as much as Sam.

Let's add up those three expressions and set that sum equal to 95

Solve for x.

Sarah + Sam + Casey = 95

x+(x+15) + 2(x+15) = 95

x + x + 15 + 2x + 30 = 95

4x+45 = 95

4x = 95-45

4x = 50

x = 50/4

x = 12.50

This says that Sarah has $12.50

That must mean Sam has x+15 = 12.50+15 = 27.50 dollars

And Casey must have 2*27.50 = 55 dollars.

----------------

As a check,

Sarah+Sam+Casey = 12.50+27.50+55 = 95

So the answer is confirmed.

6 0
3 years ago
Read 2 more answers
The population of a particular town increased from 12,800 to 14,200 over a ten-year period. what percent increase does this repr
musickatia [10]

Answer:

10.94% to the nearest hundredth.

Step-by-step explanation:

That would be (14200 - 12,800) * 100 / 12800

= 10.94%

8 0
3 years ago
The ratio of blueberries and strawberries is 1:7. If there are 210 strawberries how many blueberries are there?
Travka [436]

Answer:

There are 30 blue berries

Step-by-step explanation:

1:7

_:210

210/7

30

7 0
3 years ago
Help me find geometric mean
kiruha [24]
12. <span>
13. 24
14. 3 sqrt 7</span>
5 0
4 years ago
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