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kherson [118]
2 years ago
13

6. Open Response While jumping rope, Juan jumped 24 times in 30 seconds. At this rate. how many times will he jump in 50 seconds

?
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Mathematics
1 answer:
levacccp [35]2 years ago
5 0

Juan will jump 40 times in 50 seconds.

The unitary method is a concept wherein a problem is solved first by finding the value of a single unit and then multiplying the single unit value to find the necessary answer.

Here, we are given that

Juan jumps 24 times in 30 seconds

Thus, the number of times he will jump in 1 second is given by-

24/ 30 = 0.8

Thus, he jumps 0.8 times in 1 second

Now, we need to find the number of times he jumps in 50 seconds. We can do so simply by multiplying the number of times he jumps in 1 second by 50.

Thus, number of times he jumps in 50 seconds = 0.8 * 50

= 40

Therefore, Juan jumps 40 times in 50 seconds.

Learn more about the unitary method here-

https://brainly.in/question/861311

#SPJ9

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levacccp [35]

\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}

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