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Artemon [7]
3 years ago
12

The size of a television is usually indicated by the length of the screens diagonal if a person buys a 20 inch television set th

at is 12 inches tall how wide is the television
Mathematics
1 answer:
ipn [44]3 years ago
8 0

diagonal = sqrt(a^2 +b^2)


20 = sqrt(12^2 +b^2)

20= sqrt(144+b^2)

20^2 = 144 + b^2

400 = 144 + b^2

256 = b^2

b = sqrt(256) = 16

 it is 16 inches wide


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He did not divide his milligrams by the proper factor. He treated it as if it were only kilograms. He should have divided by a million. 
5 0
3 years ago
Your little cousin will have a big animal-themed birthday party and you will help with the goody bags. Each bag will have a penc
Bas_tet [7]

Using the least common factor, it is found that:

  • a) 60 packages should be bought.
  • b) There will be 5 filled goody bags.

<h3>Least Common Factor:</h3>
  • The sizes of the packages are: 10, 6, 15 and 12.
  • To fill each bag and have no left-overs, the number of packages is the <u>least common factor</u> of these amounts.
  • The least common factor is found factoring the numbers into prime factors.

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

To learn more about the least common factor, you can take a look at brainly.com/question/24873870

6 0
2 years ago
Simplify:<br>(ay<br>8<br>6.<br>5x - 25 30 - 6x​
maw [93]

Answer:

-x - 2530

Step-by-step explanation:

5x - 2530 - 6x

5x - 6x = -x

-x - 2530

6 0
3 years ago
Read 2 more answers
4x^2 -18x^2=0<br><br> HELP PLEASE My teacher doesn’t explain it well
tigry1 [53]

Answer:

x=0

Step-by-step explanation:

4x²-18x²=0 (combine like terms)

-14x²=0

x²/-14=0/-14

√x²=√0

x=0

8 0
3 years ago
An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows
Vlada [557]

<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

  • where m = slope of the relation.

  • and c = <em>intercept = the initial fee charged by the electric company</em>.

  • y = <em>Monthly charge at each time</em>.

  • x = Usage

To find the slope;

  • m = (y2 - y1)/(X2 - x1)

  • m = (28 -22)/(150 - 100)

  • m = 6/50

  • m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

  • 82 = 0.12(600) + c.

  • C = 82 -72

  • C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0
2 years ago
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