Answer:
2.96 = 2 96/100 = 2 24/25
Answer: Approximately 22.62 degrees
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Work Shown:
cos(angle) = adjacent/hypotenuse
cos(y) = 12/13
y = arccos(12/13)
y = 22.6198649
y = 22.62
Notes:
- Arccosine is the same as inverse cosine. On your calculator there should be a button labeled
- Make sure your calculator is in degree mode
- The decimal result for y, shown above, is approximate. I rounded to two decimal places to show the final answer. Round however you need to if your teacher instructs otherwise.
Answer:
<u>If the width is 23 meters, the perimeter of the rectangle is 100 meters, or if the width of the rectangle is 0.23 meters, the perimeter is 54.46 meters.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Length of the rectangle = 27 meters
Width of the rectangle = 23 meters or 0.23 meters (it's not clear)
2. We will calculate the perimeter for any of the two possible values of the width of the rectangle, this way:
Perimeter of the rectangle = 2 * Length + 2 * Width
Replacing with the values we know:
Perimeter of the rectangle = 2 * 27 + 2 * 23
Perimeter of the rectangle = 54 + 46 = 100 meters
Perimeter of the rectangle = 2 * 27 + 2 * 0.23
Perimeter of the rectangle = 54 + 0.46 = 54.46 meters
The line passes through points (0,0) and (7,4)
Gradient = (y2-y1)/(x2-x1) = (4-0)/(7-0) = 4/7
