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matrenka [14]
3 years ago
5

Mark earned 108 points for his extra credit project.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

  • 120 points

Step-by-step explanation:

Let the total points be x

<u>Mark earned 90% of x which is 108 points:</u>

  • 0.9x = 108
  • x = 108/0.9
  • x = 120

Total points were 120

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Find the indicated length or angle measure (to the nearest tenth).
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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

z^2=x^2+y^2-2xy\cos Z

STEP 2: Write the given sides

x=4,y=6,Z=41^{\circ},z=?

STEP 3: Find the value of z

\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}

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4 0
1 year ago
Need help again. Please explain your answer.
Elis [28]

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3 years ago
Jim sells hot dogs for $2.95 each and steak sandwiches for $9.95 each out of his food cart. During a busy outdoor festival, he s
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Step-by-step explanation:

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Answer:

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7x +5 = 3x -15

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