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Scilla [17]
3 years ago
9

A little boy stands on a carousel and rotates around the ride 4 times if the distance between the little boy and the center of t

he carousel is 6 feet then how many feet did the little boy travel
Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

24 feet is the answer to this problem.

Step-by-step explanation:

cause he traveled 4 times around the distance of 6 feet, so basically all you have to do is 4×6

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A group of kids do a car wash. They charge $4.50 for each small car they wash and eight dollars for each large car or SUV in the
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Answer:

Step-by-step explanation:

Let x and y represent the numbers of small and large cars washed, respectively.

We know that:

$4.50x + $8y = $420

But we don't know the relationship between x and y.  We need more information (e.g., they washed twice as many small cars and large).  Otherwise we have one equation and two unknowns.  Since there are two unknowns, we can't determine a "slope" of the line.  With all the water and soap, the most we could possibly say it will be a slippery slope.

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2 years ago
At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height
jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x            which is the height of the tree.

c = 3*x + 1   so we are trying to find x.  Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2        

35^2 + x^2 = 9x^2 + 6x + 1     Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1               Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

6 0
4 years ago
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Answer:

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Step-by-step explanation:

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