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MariettaO [177]
3 years ago
15

The bill for domestic power in a home is reduced from $120 to $90 per month.By what ratio has the bill decreased

Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0
4/3 is the answer to the quesetion.
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Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
5 0
2 years ago
X-2/x+4=x-6/x-4 how to solve ? <br> a. x=8 <br> b. x=3<br> c. x=9 <br> d. x=5
lana66690 [7]

Answer:

the answer is a where x=8

Explanation:

cross multiplication method

8 0
3 years ago
To pay for new machinery in 5 years a company owner invests $10000 at 7.5% compounded quarterly. How much money will be availabl
sukhopar [10]

Answer:

37 500

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ME
omeli [17]

Step-by-step explanation:

it will take you 15 minutes

7 0
3 years ago
Plsssss help me its due in 5 minss i beg.
Oliga [24]

Answer:

15.13

Step-by-step explanation:

To find diameter, divide circumference by pi or 3.14

I'm going to change the fraction to a decimal, so 47.5

47.5/3.14 = 15.1273885

Round to nearest hundredth gives you 15.13

5 0
3 years ago
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