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ikadub [295]
2 years ago
13

Find the sum of the even integers from 20 to 50.with solutions please help​

Mathematics
1 answer:
alina1380 [7]2 years ago
7 0

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

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Solve four sixths plus one third

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4^{9-5} = 4^{4}

Step-by-step explanation:

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2 years ago
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card
timama [110]
<h3>The probability of picking a red face card from the deck  is (\frac{3}{26} )</h3><h3>The probability of NOT picking a red face card from the deck  is (\frac{23}{26} )</h3>

Step-by-step explanation:

The total number of cards in the deck  = 52

The total number of red( Diamond + Hearts)  face cards in the given deck

= 2 Red Queens +  2 Red jacks + 2 Red kings  = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event)  = \frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}

So, here P(Picking a red face card)  = \frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} =  (\frac{6}{52} ) = (\frac{3}{26})

Hence, the probability of picking a red face card from the deck  is (\frac{3}{26} )

Now, as we know P (any event NOT A)  = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

= 1 - (\frac{3}{26} ) = \frac{26-3}{26}  = (\frac{23}{26})

Hence,  the probability of NOT picking a red face card from the deck  is (\frac{23}{26} )

8 0
3 years ago
Find the height of a triangle that has an area of 54 cm2 with the width 3 cm less than its height.
iren2701 [21]

The height of a triangle is 9 cm

<h3>What is Triangle?</h3>
  • A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
  • In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
  • In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
  • All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
  • Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

let the height of the triangle be x

then the width is x-3

Area = \frac{height \times length}{2}

54 = x(x -3)

54 = x^2 -3x

x = 9

height = 9 cm

width = 6cm

Therefore, the height of a triangle is 9 cm.

To learn more about the triangle with the given link brainly.com/question/11897796

#SPJ4

8 0
1 year ago
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