Remark
A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.
Step One
Find the surface area of the larger cube.
Area = 6 *s^2
s = 15
Area = 6 *15^2
Area = 6 * 225
Area = 1350
Step Two
Find the area of the smaller cube
Area = 6s^2
Area = 6 * 12^2
Area = 6 * 144
Area = 864
Step Three
Find the difference
Area1 - Area2 = difference
1350 - 864 = 486
The difference is area = 486 units^2 <<<<< Answer
There is a slightly shorter way. Take out the common factor of 6
Difference = 6 * (15^2 - 12^2)
Difference = 6 * (225 - 144)
Difference = 6 * (81)
Difference = 486
Answer:
The value of the y-coordinate is -706
Step-by-step explanation:
The equation of a straight line is;
y = mx + c
where m is slope and c is t-intercept
Given the slope, we can write the equation as;
y = -79x + c
we need to get c
Just put in the x and y values of the given point
X = -6 and y = 5
5 = -79(-6) + c
5 = 474 + c
c = 5-474 = -469
So the complete equation of the line would
be ;
y = -79x - 469
To get the y-coordinate of the point, just insert the x value into the equation;
y = -79(3) - 469
y = -237 - 469 = -706
Answer:
C. One-fourth mile over thirty-six seconds = 25 miles per hour.
We have been given that an elephant can run one over four of a mile in 36 seconds.
To find elephant's rate in miles per hour, we will convert our given time in hours as shown below:
Therefore, option C is the correct choice.
Step-by-step explanation:
Answer:
2yrs
Step-by-step explanation:
Given parameters:
Amount of interest earned = $40
Principal = $400
Interest rate = 5%
Unknown:
Time taken for the money to be in bank = ?
Solution:
The formula for interest is given as:
I =
Where I is the interest
P is the principal
R is the rate
T is the time
So;
100I = PRT
T =
=
= 2yrs