Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
Answer:
2437miles
Step-by-step explanation:
amount left before it starts over = 999999-98654 = 1354
amount it will show = 3782-1354 = 2437
Answer:
a) Log ( 2 ) = 4t Log ( 83/80 )
b) 4.7 years
Step-by-step explanation:
Attached below is the detailed solution
<u>a) exponential statement in log form for an investment at 15% quarterly </u>
Log ( 2 ) = 4t Log ( 83/80 )
n = 4 , r = 15
<u>b) using change to base to find double time in yr </u>
Double time in yr
t = Log ( 2 ) / 4log ( 83/80 )
= 4.7 years
The coordinates of point P would be (2.6, 1.6).
The ratio of the sides being 3:7 means that the segment JP would be 3/10 of the total and PK would be 7/10 of the segment.
The slope of JK is given by finding the rise/run; in this case that is 4/2=2. Since JP is 3/10 of the segment, we add 3/10 of the rise to the x-coordinate and 3/10 of the run to the y-coordinate:
(3/10(2)+2, 3/10(2)+1)
=(6/10+2, 6/10+1)
=(2.6, 1.6)
21 - (3 x 4)
3 x 4 is 12, so it becomes 21 - 12.
21 - 12 = 9
