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Mashutka [201]
3 years ago
15

I cant figure out 17 :3 and 68 :12 are equivalent

Mathematics
2 answers:
DerKrebs [107]3 years ago
6 0

First of all, the fractions are equivalent:

\dfrac{17}{3} = \dfrac{17\cdot 4}{3\cdot 4} = \dfrac{68}{12}

As for the second part, we have

\dfrac{3 \text{ slices}}{2\text{ minutes}}=\dfrac{3\cdot 5 \text{ slices}}{2\cdot 5\text{ minutes}} = \dfrac{15 \text{ slices}}{10\text{ minutes}}

sleet_krkn [62]3 years ago
5 0

Answer:

17:3 is 68:12 simplified

15 slices will be eaten in 10 minutes

Step-by-step explanation:

first off 17:3 is 68:12 simplified (both 68 and 12 go into 4 resulting in 17 and 3)

you have to divide 10 by 2 which will give you 5

and then multiply by 3

to get 15

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What is the answer for 35=-7z
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Furkat [3]
<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

----------------

To sum things up so far, we have these known properties of triangle ABC

  • angle A = 107 degrees
  • side c = side AB = 24 miles
  • angle B = 42 degrees
  • angle C = 31 degrees

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

8 0
3 years ago
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