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azamat
3 years ago
13

Solve for x in the triangle

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0

tan(angle) = opposite/adjacent

tan(37) = x/14

14*tan(37) = x

x = 14*tan(37)

x = 10.5497567

x = 10.5


Answer: 10.5

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Juan saves up 10% of his take-home pay. He put $160 in his savings account each month. What is his monthly take-home pay?
Allisa [31]
Juan's total monthly take-home pay would be $1,600. To find this, you do 160/.10 = 1600.
8 0
4 years ago
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A roofing company claims they can haul away 755.2 hectograms of shingles every 90 minutes for trash. If they worked for 39 hours
Marina CMI [18]
<h2><u>Answer:</u></h2>

The roofing company can take out <u>196.352kg</u> of shingles.

<h2><u>Step-by-step explanation:</u></h2>
  • First, work out how many 90 minutes are in 39 hours:

       39 x 60 = 2340 minutes total

       2340 ÷ 90 = <u>26</u>

  • Then, multiply this by 755.2 to work out how much hectograms of trash is taken out.

       26 x 755.2 = <u>19635.2 hectograms of trash</u>

  • Finally, divide this by 10 to work out how many kilograms this is:

        19635.2 ÷ 10 = <u>196.352kg</u>

8 0
3 years ago
Find the unit price of 48 golf balls for $38.97. Round your answer to the nearest cent if necessary.
lilavasa [31]

Answer:

unit price is $0.81 cents

Step-by-step explanation:

To find the unit price we have to divide the total price by the number of golf balls.

38.97 ÷ 48=.811875 rounded to the nearest cent  .81

3 0
3 years ago
Art paid $8.50 to buy 2 large sodas and 1 hamburger. Nila paid $27.00 to buy 4 large sodas and 4 hamburgers. What is the price o
tankabanditka [31]
2 large sodas and 1 hamburger = $8.50 ----------------- (1)
4 large sodas and 4 hamburgers = $27.00  ------------- (2)

(1) x 2 :
4 large sodas and 2 hamburgers = $17.00    ------------- (1a)

(2) - (1a):
2 hamburgers = $10.00
1 hamburger =$5.00 

Answer: $5.00
7 0
4 years ago
Please help!!!!!!!!!!!!!!!!!
Andrej [43]

Answer:

y = 2/3x + 4

Step-by-step explanation:

Slope-intercept form of a line:

  • y = mx + b
  • where m = slope and b = y-intercept

To find the equation of a line, we need two points that the line passes through.  

We can use the x-intercept and y-intercept of the line: (-6,0) and (0,4), respectively.

Find the slope of the line using these two points:

  • Slope formula: \displaystyle \bf  \frac{y_2-y_1}{x_2-x_1}

Plug the two points into the formula.

  • \displaystyle \frac{4-0}{0-(-6)}

Subtract and simplify this fraction.

  • \displaystyle \frac{4}{6} =\frac{2}{3}

The slope of this line is m = 2/3.

Now we can look at the graph to determine the y-intercept of this line; the line intersects the y-axis at (0,4) so the constant b = 4.

We can use the slope, m, and the y-intercept, b, and substitute these values into the slope-intercept form of a line.

  • y = 2/3x + 4

The equation of the line is y = 2/3x + 4.

3 0
3 years ago
Read 2 more answers
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