Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 270 cm³
height = 5 cm
length = ?
width = ?
Formula
Volume of a rectangular prism = height x length x width
- Solve for Area of the base (height x length)
Area of the base = Volume / height
-Substitution
Area of the base = 270 / 5
-Result
Area of the base = 54 m²
2.- Find the prime factors of 54
54 2
27 3
9 3
3 3
1
3.- The possible values of the sidas of the rectangle are:
Combining the prime factor of 54.
Length Width
2 x 3 = 6 and 3 x 3 = 9
or 2 x 3 x 3 = 18 and 3 x 1 = 3
or 3 x 3 x 3 = 27 and 2 x 1 = 2
For this case we have the following system of equations:
To solve, we clear "x" from the second equation:
We substitute "x" in the first equation:
We clear the value of the variable "y":
We look for the value of the variable "x":
Thus, the solution of the system is given by:
Answer:
Option D
Answer:
The area of the shaded region is the difference between the areas of the rectangle and the square.
Step-by-step explanation:
<span>Chris' average speed is 3.5mph:
Lets take Chris' brother speed = B
then Chris speed = (B+ 1) mph-------given in the question
and:
The average speed for covering 18 miles= chris' average speed + his brother's
average speed = (B+ 1) + B
since Speed = Distance covered / time taken
then average speed for 18 miles can also be found by: 18 miles/3 hours = 6 miles per hour
then we have; (B+ 1) + B = 6mph
(B +1) = (6-B)
B+B = 6-1=5
2B=5
B=5/2=2.5 mph (this is Chris' brother average speed)
Hence Chris' average speed is = B+1= 2.5+1= 3.5mph</span>
94.2 in would be your answer
