Answer:
Perimeter = 36.84 ft
Area = = 64.26 ft²
Step-by-step explanation:
✔️Perimeter of the figure = the length of the surrounding border the rectangle + surrounding border of circle
Length for surrounding border of the rectangle = 3 + 3 + 3 + 3 + 3 + 3 = 18 ft
Surrounding border of a circle = circumference of a full circle (two half circle makes 1 full circle)
Circumference of the circle = πd
diameter (d) = 12 - (3 + 3) = 6 ft
π = 3.14
Circumference = 3.14*6
= 18.84 ft
✅Perimeter = 18 + 18.84 = 36.84 ft
✔️Area = area if the rectangle + area of the full circle
= L*W + πr²
L = 12 ft
W = 3 ft
π = 3.14
r = ½(6) = 3 ft
Plug in the values
Area = 12*3 + 3.14*3²
= 36 + 28.26
= 64.26 ft²
1.) ¹²/₉ = ⁴/₃
Simplify the fraction so it’s easier to work with.
2.) ⁴/₃ = ⁸/x
Make ⁴/₃ equal to ⁸/x because since you want to find the new width, you need to make it equal to a new fraction.
3.) 4x = 24
Cross multiply.
4.) x = 6
Divide each side by 4.
Assuming that no overtime was factored into his wages, Alex would have gotten a gross pay of $359.60. This was done by multiplying $7.86 x 45.75 hours.
Assuming that overtime was factored into his wages, Alex would have gotten a gross pay of $382.19. This was done by figuring out how much "time and a half" is for over time. "time" = 7.86; "and a half"= 7.86/2= 3.93
Time AND a half would equal 7.86 + 3.93= 11.79.
So, Alex would get an additional $11.79 for the hours OVER 40 hours which was 5 hours and 75 minutes..
11.79 x 5.75 = 67.79
Total hours for a 40 hour work week for Alex with 7.86 would equal a gross pay of 314.40. Plus 67.79. = 382.19
Answer:
I believe the second one
Step-by-step explanation:
Because it's angles are all less than 90 degrees so it could be an acute triangle. I am sorry if it is wrong.
X + y= 55
x - y= 9
y = 23
x = 32
the numbers are 23 and 32
