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nata0808 [166]
3 years ago
11

Solve for x using basic trigonometric ratios.

Mathematics
1 answer:
yuradex [85]3 years ago
8 0
Sine 35 degrees = x / 20

x = sine 35 degrees * 20

x = .57358 * 20

x = 11.4716


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A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim
RSB [31]

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

4 0
3 years ago
at a bus station , buses depart at a rate of 3 every 10 minutes. at this rate, _____buses will depart in 1 hour
Marina CMI [18]

1 hour = 60 minutes

60 minutes /  10 minutes = 6

So 6 times in one hour 3 buses depart.


6 x 3 = 18 total buses in an hour.

6 0
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5 0
3 years ago
Solve: 36(x + 4)= 36
11Alexandr11 [23.1K]

Answer:

x = -3

Step-by-step explanation:

36(x + 4) = 36

Divide both sides by 36

x + 4 = 1

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x = -3

8 0
3 years ago
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3 years ago
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