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tresset_1 [31]
3 years ago
14

What is the product of 0.51 × 0.24? 0.1224 1.124 11.24 1124

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0
The answer is A. 0.51 times 0.24 is 0.1224. You can use a calculator to figure it out. Hope this helps :)
natima [27]3 years ago
6 0
0.52 x 0.24 means "about a half times 0.24". Given the multiple choice answers, the correct answer is therefore 0.1224 (since this is the only one smaller than 0.24).

Proof:
0.50 × 0.24 = 0.12
0.01 × 0.24 = 0.0024
And therefore 0.51 × 0.24 = 0.12 + 0.0024 = 0.1224
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Answer:

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Step-by-step explanation:

There are 4 kings in a standard deck of 52 cards.

The probability that the first card is a king is 4/52.

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9.9 feet.

Step-by-step explanation:

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- The swing is of length L = 10 - 3 = 7 feet. Recall that it hangs from a beam 10 feet above the ground and the seat hangs 3 feet above the ground in its straight-down rest position.

 

- Let's consider the swing at one of its extreme positions where it makes an angle of 45 degrees from the vertical. In this position, you can imagine the swing forming a right triangle with the highest vertex angle being 45 degrees and the hypotenuse being L = 7 feet. To calculate the horizontal leg of this triangle, you would use the sine function.

 

                                     sin(45 deg) = x/L

So,

                                    x = L*sin(45 deg)

                                    x = 7*sin(40 deg) = 4.95 feet

 

- But, this is only the horizontal distance that the swing traverses from one extreme position to hanging straight down. It needs to complete its motion and swing up to the other extreme position. So, in moving from one extreme position to the other, the swing traverses a horizontal distance of    

                                     2x = 2*4.95 feet = 9.9 feet.

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