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natita [175]
3 years ago
5

How many fewer hot dogs were sold on Wednesday than Tuesday?

Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

30 hot dogs fewer.

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1 43/53 is the answer in a mixed fraction. 
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natulia [17]

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b

Step-by-step explanation:

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The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides
Ipatiy [6.2K]

Answer:

  8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

  P = 2(L +W)

  P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

  similar perimeter/original perimeter = 40/70 = 4/7

__

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

  (14)(4/7) = 8

  (21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

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3 years ago
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gregori [183]

Answer:

8

Step-by-step explanation:

7 0
3 years ago
The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l
Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

c^2 = a^2 + b^2

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x

Now let's factorize to get solutions for x.

0 = x(x-20)

First solution:

x = 0

Second solution:

x - 20 = 0\\x = 20

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

6 0
2 years ago
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