Answer:
17.5% of 360 = 63
Step-by-step explanation:
We are given a process of finding 17.5% of 120. Following the same process we have to determine the 17.5% of 360.
17.5% can be break down as 10% + 5% + 2.5%
Thus,
STEP 1 : Find 10% of 360 , we get,

STEP 2 : find 5% of 360, we get,

STEP 3: find 2.5% of 360 , we get,

STEP 4: 17.5% of 360 = 10% of 360 + 5% of 360 + 2.5% of 360
⇒ 17.5% of 360 = 36 + 18 + 9
⇒ 17.5% of 360 = 63
Answer:
The perimeter of the Rectangle JKLM is 32 unit.
Step-by-step explanation:
Consider the provided coordinates.
Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1), M(4,8)
First plot the points as shown in figure:
The required figure is shown below:
Now find the distance between JK by using the distance formula.


Therefore, the length of JK is 9 unit.
Now find the length of the side JM

Therefore, the length of JM is 7 unit.
The perimeter of rectangle is: 
Therefore,



Hence, the perimeter of the Rectangle JKLM is 32 unit.
A = L^2
A = L^2 = 2^2 + 4^2 (Pythagorean’s theorem)
A = L^2 = 20
Therefore the area of the square is 20 units square.
Answer:
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
Step-by-step explanation:
The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle
One complete cycle of clock rotation = 360° = 12 hours
Therefore, the hour hand rotates 360/12 = 30° for each hour
Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour
The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour
∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°
Between 3 P.M. and 3:30 P.M the hour hand moves 15°.
Answer:
ACB=61°, BAC=58°, AEF=65°
Step-by-step explanation:
C = 122°, 180-122=58° ACB= 122°÷2=61°
61°+61°+A=180, hence 58°
65 because of opposite angles, they are equal