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2 years ago

A snowboarder traveled at a speed of 12 meters per second for 15 seconds. How far did the snowboarder travel?

Mathematics

2 answers:

pickupchik [31]2 years ago

7 0

Multiply 12 by 15

12 x 15 = 180 meters total

Rus_ich [418]2 years ago

7 0

The correct answer is C. 180 meters

Explanation:

The general formula to calculate distance is Distance = Speed x Time. This implies if you multiply the speed (rate of motion) by the time (seconds, minutes, etc) you can know the total distance traveled. In the case presented this means Distance = 12 meters per second (speed) x 15 seconds (time). Thus, the distance the snowboarder traveled was 180 meters as 12x 15 = 180. Also, the distance is expressed in meters because the unit used in the steed is meters per second.

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Aneli [31]

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2 years ago

A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len

aniked [119]

Answer:

a. V = (20-x) $x^{2}$ $in^{3}$

b . 1185.185 $in^{3}$

Step-by-step explanation:

Given that:

The height: 20 - x (in )
Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h * $x^{2}$ $in^{3}$

<=> V = (20-x) $x^{2}$ $in^{3}$

b. What is the maximum possible volume of the box?

To maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3 $x^{2}$ + 40x

Let dV / Dx = 0, we have:

-3 $x^{2}$ + 40x = 0

<=> x = 40/3

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2 years ago

Please help me due today

Keith_Richards [23]

Answer:

To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x

remember the acronym soh cah toa.

to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa

setting it up looks like this

tan 72° = $\frac{x}{8\\}$

solving for x gives us x= 8×tan 72°

which is about 24.62

Step-by-step explanation:

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2 years ago