Answer:
6.914miles (to 3 decimal places)
Step-by-step explanation:
Length of an arc = θ/360 *2πr
angle subtended by arc at the center of the earth = 6 minutes
1 minute =1/60 degree
6 minute= 6/60 degree =0.1°
θ=0.1°
radius of earth = 3960 miles
distance along the arc = 
=6.9142857143miles
Answer:
14 quarters and 28 nickels
Step-by-step explanation:
System of Equations where x = number of quarters and y = number of nickels
(1) equation with value of each coin
0.25(x)+0.05(y) = 4.90
(2) total number of coins
x + y = 42
Solve system of equations using either substitution or elimination
(elimination multiplying equation 2 by -0.5)
.25(x) + 0.05(y) = 4.90
-0.05(x) - 0.05(y) = 42 * (-0.05)
(3) Resulting equation
.20(x) = 2.8
x = 14
plug x into equation 2
14 + y = 42
y = 28
There are 14 quarters and 28 nickels in Mary's collection.
Answer:
Order the numbers from least to greatest.
75, 83, 89, 94, 98, 101, 105, 108, 111, 122, 125, 130
Minimum is 75
Q1 is 91.5
The median is 103.
Q3 is 116.5
Maximum is 130
Now, look at the answer choices.
B has the incorrect median
D has incorrect Q1.
A has incorrect Q3.
C is the answer.
