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storchak [24]
3 years ago
14

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?

Mathematics
2 answers:
vampirchik [111]3 years ago
5 0

Answer:

To answer the question, you need to write a conversion factor to convert inches to feet.

The correct conversion factor has the inches in the denominator.

The correct conversion factor has the feet in the numerator.

The tortoise can walk  0.25 feet per second.

Step-by-step explanation:

just took quiz

den301095 [7]3 years ago
4 0
Set up the conversion factor like this:

\frac{3in}{1} * \frac{1ft}{12in}

The inches are in the denominator while the feet are in the numerator in the conversion factor.  It's set up this way because the numerators and denominators have to be able to cancel out.  In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet.  The turtle walks 0.25 feet per second.
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Side n=16.68902(round if needed)

We are given

Angle M which equal 26.

Angle N equals 90 degrees

Side MN which equal 15.

We are asked to find all the missing elements of the triangle.

  1. Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.

90 + 26 + x = 180

116 + x = 180

x = 64

Angle O=64 degrees

We can find side m by doing law of sines.

\frac{on}{ \sin(26) }  =  \frac{mn}{ \sin(64) }

\frac{on}{ \sin(26) }  =  \frac{15}{ \sin(64) }

on =  \frac{15}{ \sin(64) }  \times  \sin(26)

which is 7.315(round if neeeded).

We can find side n using pythagorean theorem,

{15}^{2}  +  {7.3}^{2}  =  {n}^{2}

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Step-by-step explanation:

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