Layla is walking in a rectangular park. She walks one side that is 50 yards and then the otherside that is 120 yards. Layla develops a cramp in her leg and walks diagonally through the park
to head back home. What is the total distance that layla walked? (HINT: Final answer is
perimeter of the triangle park)
120 yd.
PARK
PARK
50 vd
Oak St
1
Park Rd
Answers
Total distance walked by Layla is 300 yards
Solution:
Given that,
Layla is walking in a rectangular park
She walks one side that is 50 yards and then the other side that is 120 yards
Length = 120 yards
Width = 50 yards
Layla develops a cramp in her leg and walks diagonally through the park to head back home
Let us find the length of diagonal of rectangle
Thus length of diagonal is 130 yards
What is the total distance that layla walked?
Given that Final answer is perimeter of the triangle park
The diagonal and length and width forms a right angle triangle
Perimeter of triangle = diagonal length + width + length
Perimeter of triangle = 130 + 50 + 120 = 300
Thus total distance walked by Layla is 300 yards
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The value of x in the expression for the angle of the triangle is 12.
What is the value of x in the triangle?
The figure in the image is a triangle.
From the image:
Angle 1 = 5x
Angle 2 = 60 degrees
Angle 3 = 60 degrees
Note that, the sum of the interior angle of a triangle equals 180 degrees.
To determine the value of x, add the 3 angles and equate to 180 degrees.
Hence:
5x + 60 + 60 = 180
Collect and add like terms:
5x + 120 = 180
Subtract 120 from both sides:
5x + 120 - 120 = 180 - 120
5x = 180 - 120
5x = 60
x = 60/5
x = 12
Therefore, x has a value of 12.
Learn more about sum of angles in a triangle here: brainly.com/question/10242960
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Answers
Final answer:
The unit rate of the copy machine expressed in terms of copies per second is found by calculating the ratio 45 copies/25 seconds, which equals 1.8 copies/second.
Explanation:
To find the unit rate of copies per second, we need to divide the total number of copies by the total time taken. In other words, we have to find out how many copies are made in one second. Here, the copy machine makes 45 copies in 25 seconds.
To calculate the unit rate, we use the formula Unit Rate = Total Quantity / Total Time. Substituting the given numbers into the formula, we get:
Unit Rate = 45 copies / 25 seconds = 1.8 copies/second.
This means the copier's unit rate is 1.8 copies per second.
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Answer:
1.8
Step-by-step explanation:
45 divided by 25