The diameter of the coaster is 5 cm.
Step-by-step explanation:
Given,
The area of the circle = 19.63 sq inch
To find the diameter, we need to find the radius
Formula
The area of a circle with radius(r) = π
sq cm
According to the problem,
π = 19.63
or, = 
= 6.2459
or, r = 
= 2.499 (approx)
= 2.5 cm
Hence the diameter of the circle = 2 × 2.5 cm = 5 cm
Answer:
15.5 seconds.
Step-by-step explanation:
From the time the driver activated the brakes until he stopped, he travelled 76 - 14 = 62 meters.
During this time the car slowed down from 8 m/s to 0 m/s.
Assuming the deceleration was constant during this time we can apply one of the equations of motion for constant acceleration:
s = (u + v)t / 2 where u = initial velocity, v = final velocity, s = distance and t = the time, so:-
62 = (8 + 0)t/ 2
62 = 8t/2
4t = 62
t = 15.5 seconds.
Answer:
Difference= $3,090.15 in favor of compounded interest
Step-by-step explanation:
Giving the following information:
Present value (PV)= $8,500
Ineterest (i)= 0.025/12= 0.00208
Number of periods (n)= 360 months
<u>We will calculate the future value of each option and determine the difference:</u>
<u>Simple interest:</u>
FV= (PV*i*n) + PV
FV= (8,500*0.00208*360) + 8,500
FV= $14,864.8
<u>Compounded interest:</u>
FV= PV*(1+i)^n
FV= 8,500*(1.00208^360)
FV= $17,958.95
Difference= $3,090.15
Answer:
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
+25 +25 (add 25 to both sides)
____________
10x=10
divide by 10 on both sides
x=1
Answer:
The probability of getting a pair of red socks is 0.322
Step-by-step explanation:
According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:
probability of getting a pair of red socks=11C2/19C2
probability of getting a pair of red socks=55/171
probability of getting a pair of red socks=0.322
The probability of getting a pair of red socks is 0.322
