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valentinak56 [21]
4 years ago
12

*20 POINTS PLEASE HELP*

Mathematics
1 answer:
Softa [21]4 years ago
3 0

Answer:

upper right 31 middle right 24, bottom right 55

upper middle 10, center box 7, lower middle 17

upper left 41, middle left 31, bottom left 72

Step-by-step explanation:

cat and dog is the overlapping part of th diagram, 31 people like both.

dog and not cat is the left side of the

diagram, 24 people only like dogs

the total of people who like dogs is adding the left number with the the center number and 55 people all like dogs

dislikes dogs likes cats is the right side of the diagram, 10 people

not dog not cat, those who want neither are outside both bubbles, 7

the total of people who would not get a dog is 17

the total of people who like cats is the middle of the chart and the right added together 31+10 is 41

the total of people who dont like cats is the left side and the number of people who dont like anything 24+7 is 31

the total number of all the people could be gotten by adding all the number on the display together 24+31+10+7=72

or by adding the other bottom totals 55+17= 72, or by adding the other left totals together 41+31=72

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Sam and Charley have a rectangular swimming pool that is 8 feet wide and 14 feet long. They are going to build a tile border aro
tester [92]

Answer:

The width of the border will be 3/2 ft or 1.5 ft

Step-by-step explanation:

The rectangular swimming pool is 8 ft wide and 14 ft long. A tile border is built around the pool of uniform width. The tile border is 75 ft².   The illustration below is just like a rectangle inside another rectangle.

The tile border around the pool has a uniform width. The width was added to both end of the length and the width of the rectangular pool.

Let

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On both end the added width will be

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The area of the whole rectangle formed including the border

(8 + 2a) (14 + 2a)

The area of the rectangular swimming pool

8 × 14 = 112  ft²

The area of the border(75 ft²)

(8 + 2a) (14 + 2a)  - 112  = 75

112 + 16a + 28a + 4a² - 112 = 75

4a² + 44a - 75 = 0

find the numbers you multiply to get -75 × 4 = -300 and also add to get 44. The numbers are - 6 and 50.

4a² - 6a + 50a - 75  = 0

2a(2a - 3) + 25(2a - 3) = 0

(2a−3)(2a+25)

2a - 3 = 0  or 2a + 25 = 0

a = 3/2 or a = -25/2

we will use a = 3/2 since it is positive.

The width of the border will be 3/2 ft or 1.5 ft

7 0
3 years ago
How to find the side of a rhombus with given diagonals?
spayn [35]
The diagonals of a rhombus are perpendicular bisectors of each other. You can use the Pythagorean theorem. If the diagonals are length "a" and "b", the side length of the rhombus (s) is
  s = (1/2)√(a²+b²)
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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