Answer:
2.39
Step-by-step explanation:
-3.09+X=-0.7
X=-0.7+3.09
X=2.39
Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that

Hence, the length of the second arc is 12 feet.
Answer:
B) -0.4 seconds
Step-by-step explanation:
Laps: 25
Goal: -10 seconds to all 25 laps combined (10 seconds difference => -10)
divide by total laps
-10 /25 = -0.4s difference each lap
I would start with the standard form equation of the parallel line.
.. 5x -2y = 5(-2) -2(3) = -16
Then solve for y.
.. 2y = 5x +16 . . . add 2y+16; then divide by 2 for the next equation
.. y = (5/2)x +8 . . . . . . . corresponds to selection (B)
Answer: $96.8
Step-by-step explanation:
Formular for Compounding annually :
A =P ( 1 + r/n) ^nt
Where p is the Principal given as $80
r is the rate given as 10% = 10/100 = 0.1
n is the number of times the principal was compounded, given as 1
t is the time, given as 2 years:
Slot the values into the formula:
A= $80 ( 1 + 0.1/1) ^ (1 × 2)
A= $80 ( 1 + 0.1) ^2
A= $80 ( 1.1) ^2
A= $80 (1.21)
A= $80 x 1.21
A= $96.8
96.8 is already rounded to the nearest cent.