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solmaris [256]
3 years ago
8

What is the area of this polygon?

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Split the figure into 2 shapes a rectangle and a triangle.

Area of rectangle = 7 x 6 = 42 square units.

Area of triangle = 1/2 x 3 x 6 = 9 square units.

Total area = 42 +9 = 51 units^2

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You received 1⁄3 pound of candy from your grandmother, 1⁄2 pound of candy from your sister, but your best friend ate 1⁄5 pound o
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1/3 + 1/2  = 2/6 + 3/6 = 5/6

5/6 - 1/5 = 25/30 - 6/30 = 19/30 pounds left

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Answer:

1 5 and 8 also equal 130

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Step-by-step explanation:

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Jim reads 3 newspaper articles every day, and Jessica reads 5 times more than Jim does. How many newspaper articles does Jessica
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Jessica reads 15 newspaper articles

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4 years ago
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A baker made 9 cakes. He cut each cake into 6 slices. How many slices of cake did the baker end up with?
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8 0
4 years ago
A herd of horses split and went to three areas. One fourth of the herd of horses was seen in the forest. Twice the square root o
melamori03 [73]

Answer:the total number of horses in the herd is 36

Step-by-step explanation:

Let x represent the total number of horses in the herd.

One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be

1/4 × x = x/4

Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be

2 × √x = 2√x

Three times five horses remained on the riverbank. This means that the number that remained would be

3 × 5 = 15

Therefore

x/4 + 2√x + 15 = x

x - x/4 - 15 = 2√x

(4x - x - 60)/4 = 2√x

(3x - 60)/4 = 2√x

Cross multiplying,

3x - 60 = 8√x

Squaring both sides of the equation, it becomes

(3x - 60)(3x - 60) = 64x

9x² - 180x - 180x + 3600 = 64x

9x² - 360x - 64x + 3600 = 0

9x² - 424x + 3600 = 0

Applying the quadratic equation

x = (- b ±√b² - 4ac)/2a

x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9

x = (424 ± √179776 - 129600)/18

x = (424 ±√50176)/18

x = (424 + 224)/18 or

x = (424 - 224)/18

x = 36 or x = 11.11

the number of horses must be whole number. Therefore, the number of horses is 36

5 0
3 years ago
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