First, we determine the area of the piece of cardboard by multiplying its dimensions.
area of cardboard = (8.5 inches) x (11 inches) = 93.5 in²
Then, we solve for the area of the cut out square,
area of the square = (4 inches) x (4 inches) = 16 in²
Then, we subtract the areas giving us the area of the frame which is equal to,
77.5 in²
The circumference of the larger circle is about 12.57 inches. The circumference of the smaller circle is about 3.14 inches. So, the total length of gold leaf on a tag is approximately 15.71 inches.
<h3>How to illustrate the circle?</h3>
The circumference will be:
= 2πr
= 2 × 3.14 × 2
= 12.57 inches.
The circumference of the smaller circle will be:
= 2πr
= 2 × 3.14 × 0.5
= 3.14
The total length will be:
= 12.57 + 3.14
= 15.71 inches.
Learn more about circles on:
brainly.com/question/27991521
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30 of them would be apple juice boxes.
40 x 75% = 30
Answer:
Reference angle is 
and tan
= -1
Step-by-step explanation:
lies in the 4th quadrant
and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.
and reference angle for is
2π- =
and tan = -tan = -1
Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.
