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jolli1 [7]
3 years ago
8

Write .33 as a simple form

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0
.33 in its simplest form is 1/3 I think
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G= 7<br> h = 5<br> Work out the value of 3g + 2h
Anna71 [15]

Answer:

Step-by-step explanation:

3g + 2h = 3*7 + 2*5

            = 21 + 10

            = 31

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The sum of squares of two consecutive positive even integers is 52 more than their product. Find these numbers.
natulia [17]

Answer:

The first set of consecutive even integers equals (8 , 6)

The second set is ( - 8 and - 6) which also works.

Step-by-step explanation:

Equation

(x)^2 + (x + 2)^2 = (x)(x + 2) + 52            Remove the brackets on both sides

Solution

x^2 + x^2 + 4x + 4 = x^2 + 2x + 52        Collect the like terms on the left

2x^2+ 4x+ 4 = x^2 + 2x + 52                  Subtract right side from left

2x^2 - x^2 + 4x - 2x + 4 - 52  =  0          Collect the like terms

x^2 + 2x - 48 = 0                                     Factor

(x + 8)(x - 6) = 0

Answer

Try the one you know works.

x - 6 = 0

x = 6

Therefore the two integers are 6 and 8

6^2 + 8^2 = 100

6*8 + 52  = 100

So 6 and 8 is one set of  consecutive even numbers that works.    

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

What about the other set.

x + 8 = 0

x = - 8

x and x + 2

- 8  and -8 + 2 = - 8, - 6

(- 8 )^2 + (- 6)^2 = 100

(-8)(-6) + 52 = 100

Both sets of consecutive numbers work.


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2 years ago
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Find all three angles of the triangle x-5 x+10 x-35
Alexus [3.1K]

Answer:

See below ~

Step-by-step explanation:

<u>Given</u> : 3 angles of a Δ

  • (x + 5)°
  • (x + 10)°
  • (x + 15)°

<u>Solving</u> :

  • According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°
  • x + 5 + x + 10 + x + 15 = 180
  • 3x + 30 = 180
  • x + 10 = 60
  • x = 50

<u>Finding the angles</u>

  • x + 5 = 50 + 5 = 55°
  • x + 10 = 50 + 10 = 60°
  • x + 15 = 50 + 15 = 65°
6 0
2 years ago
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