Consider re-writing this formula as "A = pi*r^2." The backslash symbol "\" is unnecessary.
If A = pi*r^2, and we wish to solve for r, then divide both sides by pi:
A/pi = r^2
Taking the square root of both sides, sqrt(A/pi) = r (r must be positive in this situation).
Answer:
C. 2
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)
= (1-(-5)) / (4-1)
= (1+5) / 3
= 6/3
= 2
For problem one she starts off earning 10.24 dollars per hour. She receives a raise of 1.60 dollars. So first you have to add both 10.24 and 1.60 together to find out how much more she is payed. 10.24+1.60=12.04. She works 22.25 hours. It would take forever to add 12.04 22 and a quarter times so you multiply them. 12.04*22.25=267.89. So she would earn 267.89 dollars from working 22.25 hours.
For problem two you would start off by dividing 3/4 (the amount of pizza) by 5 (the five people) because when you do this it will give you the equal amount of pizza that each person can have. You get 0.15 which is equal to 3/20. So each person will get 3/20 of the 3/4 of the pizza that are left. (To simplify it the answer is 3/20) you can check your work by doing 3*5 which is 15. Make this the numerator and it’s 15/20. 15/20=3/4.
For the third problem you start off by putting aside the .25 of an ounce. Take the 3 ounces and multiply it by the cost per ounce 3.56. 3*3.56=10.68. Now that you have figured out how much 3 ounces cost out that aside. Now for the .25 of an ounce. Since .25 goes into one four times you do 3.56/4. It’s 0.89. This is how much it costs per .25 of an ounce. After that you add 10.68+0.89. It’s 11.57. To finish the problem you have to subtract 11.57 from 20 dollars. 20.00-11.57=8.43. The teacher receives $8.43 in change.
Answer:
5/8, 20/32
Step-by-step explanation:
Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8
To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32
To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.