Ayanna jumps rope 32 times every minute. what is the algebraic equation to express the function of the total number of times ayanna jumped rope? a. 32 = j - m b. j = 32m c. m = 32j d. m + j =32

B)

Step-by-step explanation:

Given:

Ayanna jumps at the rate of = 32 times/minute

To find the algebraic equation to express the function of the total number of time Ayanna jumped the rope.

Solution:

Let represent the total jumps made by Ayanna.

Let Ayanna jump for minutes.

Using unitary method to calculate total number of jumps made by Ayanna in minutes.

In 1 minute, Ayanna jumps = 32 times

Thus, in minutes Ayanna will jump = times

Thus, the function can be represented as;

 (Answer)

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

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