Answer:
113.115 cm
Step-by-step explanation:
<u>Formula:</u>
C = 2πr
<u>Given:</u>
Radius: 22 cm
Diameter: 44 cm
The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter.
Simply plug in your numbers to find the circumference first.
C = 2π(22)
C = 44π cm or 138.23 cm
Then, divide the circumference in half, and add your diameter.
Perimeter = (44π/2) + 44 = 113.115 cm
Answer:
Number of rotations r < 5.25
Step-by-step explanation:
Given: bottom of the desktop is 74.5 cm from the floor.
Top of Ignacio's legs are 49.3 cm from the floor.
Each clockwise rotation on the knob raises Ignacio's legs by 4.8 cm.
To find: Inequality to determine the number of clockwise rotations r, Ignacio could make with the knob without his legs touching the desk.
Solution: Distance between Ignacio's legs and the base of the desktop = 74.5 -49.3 = 25.2
Therefore inequality will be
Height raised in one rotation × r < 25.2
4.8×r < 25.2
r < 25.2÷4.8
r < 5.25
Multiply the second equation by 3
-4x+9y=9
3x-9y=-18
add the equations together
-x=-9 Simplify
x=9
now plug in your x value
(9)-3y=-6 Simplify
-3y=-6-9
-3y=-15
y=5
