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Pani-rosa [81]
3 years ago
11

Slove the Equation -8(k + 46) = -5. (Please include step-by-step)

Mathematics
2 answers:
NISA [10]3 years ago
8 0

Answer: look at the picture

Step-by-step explanation: Hope this help :D

ipn [44]3 years ago
6 0

Answer:

{k =  - \frac{363}{8}  \:  \:  \: or \:  \:  - 45 \frac{3}{8} } \\

Step-by-step explanation:

-8(k + 46) = -5

<u>Expand the terms on the right</u>

-8k - 368 = - 5

<u>Add 368 to both sides of the equation</u>

- 8k - 368 + 368 = - 5 + 368

- 8k = 363

<u>Divide both sides by - 8</u>

\frac{ - 8k}{ - 8}  =  -  \frac{363}{8}  \\

We have the final answer as

k =  - \frac{363}{8}  \:  \:  \: or \:  \:  - 45 \frac{3}{8}  \\

Hope this helps you

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8 0
3 years ago
Determine the value of (tangent of 88 degrees, 22 minutes, and 45 seconds). In this case, minutes are 1/60 of a degree and secon
mariarad [96]

Answer:

  c.  35.34015106

Step-by-step explanation:

As with many problems of this nature, you only need to get close to be able to choose the correct answer. 22 minutes 45 seconds is just slightly less than 1/2 degree (30 minutes), so the tangent value will be just slightly less than tan(88.5°) ≈ 38. The appropriate choice is 35.34015106.

If you need confirmation, you can find tan(88°) ≈ 29, so you know the answer will be between 29 and 38.

__

The above has to do with strategies for choosing answers on multiple-choice problems. Below, we will work the problem.

The angle is (in degrees) ...

  88 + 22/60 +45/3600 = 88 + (22·60 +45)/3600 = 88 +1365/3600

  ≈ 88.3791666... (repeating) . . . . degrees

A calculator tells you the tangent of that is ...

  tan(88.3791666...°) ≈ 35.3401510614

Many calculators will round that to 10 digits, as in the answer above. Others can give a value correct to 32 digits. Spreadsheet values will often be correct to 15 or 16 digits.

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