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guajiro [1.7K]
3 years ago
12

What is the value of t in the following equation? t + 14 = 2 712

Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer: t = 2698

Step-by-step explanation: Subtract 14 from 2712 to get the value of t

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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.

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2 years ago
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Step-by-step explanation:

3 0
2 years ago
Simplest form of 6 3/8 + 7 5/6 =
strojnjashka [21]

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What is the fractional equivalent of the repeating decimal 0.6
Vinil7 [7]

Answer:

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Step-by-step explanation:

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2 years ago
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