4 years ago

What is the approximate diagonal distance from one corner of a 3 inch by 5 inch index card to the opposite corner

Mathematics

1 answer:

77julia77 [94]4 years ago

7 0

Answer:

5.83 inches

Step-by-step explanation:

The card is a rectangular shaped object, drawing a diagonal from one corner to the other, divides the rectangle into two right angled triangles with the diagonals as the hypothenuse.

Using Pythagoras theorem.

c^2 = a^2 + b^2

Given;

Side a = 3

Side b = 5

Substituting the given values;

c^2 = 3^2 + 5^2

c = √(9+25)

c = √34

c = 5.83 inches

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Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$

Cross multiply

$120=\frac{1}{2} x$

$x=240 min$

Convert minutes to inches

$\frac{240 min}{1} * \frac{1 hr}{60 min} = 4 hr$

Final answer: 4 hours

Hope this helps!

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olga_2 [115]

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igor_vitrenko [27]

A (8, 2)
B (9, 3)
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