The coordinates of the endpoints of the range can be used to calculate the rate of change using the slope formula: m = dy / dx. The coordinates are (pi, -1) and (3pi/2, 2). So, dy = 3pi/2 - pi = pi/2 and dx = 2 - (-1) = 3. Therefore, m = pi/6.
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To change a percent to a decimal, you must move the decimal point inwards two places. For example, say you have 45%. To change 45% to a decimal, move the decimal point in two places, and you will have 0.45. Once you’ve moved the decimal, don’t add the percent symbol, because it’s no longer a percent.
Answer:
x = 12
y = 4.5
Step-by-step explanation:
Since ∆FGH ~ ∆KLJ, therefore, we would have the following proportion:
![\frac{FG}{KL} = \frac{GH}{LJ} = \frac{FH}{KJ}](https://tex.z-dn.net/?f=%20%5Cfrac%7BFG%7D%7BKL%7D%20%3D%20%5Cfrac%7BGH%7D%7BLJ%7D%20%3D%20%5Cfrac%7BFH%7D%7BKJ%7D%20)
![\frac{9}{y} = \frac{x}{6} = \frac{6}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7By%7D%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%3D%20%5Cfrac%7B6%7D%7B3%7D%20)
✔️Let's solve for x using:
![\frac{x}{6} = \frac{6}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B6%7D%20%3D%20%5Cfrac%7B6%7D%7B3%7D%20)
Multiply both sides by 6
![\frac{x}{6}*6 = \frac{6}{3}*6](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B6%7D%2A6%20%3D%20%5Cfrac%7B6%7D%7B3%7D%2A6%20)
![x = \frac{6*6}{3}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B6%2A6%7D%7B3%7D%20)
![x = 12](https://tex.z-dn.net/?f=%20x%20%3D%2012%20)
✔️Solve for y using:
![\frac{9}{y} = \frac{6}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7By%7D%20%3D%20%5Cfrac%7B6%7D%7B3%7D%20)
Cross multiply
![y*6 = 3*9](https://tex.z-dn.net/?f=%20y%2A6%20%3D%203%2A9%20)
6y = 27
y = 27/6
y = 4.5
Answer: D: 65
Step-by-step explanation:
A nickel is worth 5 cents (which we will write as 0.05).
A quarter is worth 25 cents (which we will write as 0.25).
65 X 0.05 = $3.25.
35 X 0.25 = $8.75
$3.25 + $8.75 = $12
=(20+4)/40
=(24/40)+(4+40)
=.6+2
=2.6