Answer:
√7 units, √98 units
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7
a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.
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:
The answer to your question is 23.42 ft
Step-by-step explanation:
Data
base = 6 ft
height = 4 ft
Process
1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.
Length = 6 + 4 + 4
Length = 14 ft
2.- Calculate the Perimeter of the semicircle
Formula
Perimeter = 2πr/2 = πr
-Calculate the radius
radius = 6/2 = 3 ft
-Find the perimeter
Perimeter = 2(3.14)(3)/2
-Result
Perimeter = 9.42 ft
3.- Calculate the perimeter of the window
Perimeter = 14 + 9.42
= 23.42 ft
Answer:
0.8333
Step-by-step explanation:
2/3 + x
x + 2/3
x + 2/3 = 3/2
x + 2/3 - 3/2 = 0
2/3 - 3/2 = 4/6 - 9/6 = - 5/6
x - 5/6 = 0
use linear function
f(x) - ax + b
f(x) = x - 5/6
a = 1
b = - 5/6
x- 5/6= 0
x = 5/6
x = 0.8333
This one is tricky....but I'll go for D cause your multiplying a number towards 5