Step-by-step explanation:
Here you solve for length width and height, which multiplied equal volume. The only constant you have is that the width of the prism is 1/3 of its length.
WIDTH: 3 centimeters
LENGTH: Since the width is 1/3 of the length, 3 is 1/3 of something. So divide 3 by 1/3 to get 9. You can also just multiply 3 by 3.
HEIGHT: The height is half of the width, which is 3. Therefore 3 divided by 2 is 1.5.
Now multiply the values. 3 multiplied by 9 multiplied by 1.5
The answer is 40.5
CENTIMETERS!!!
DO NOT FORGET THE UNIT
For this case we have the following system of equations:
We solve by the substitution method:
We substitute the first equation in the second equation:
We apply distributive property considering that 
We subtract 69 from both sides of the equation:
We divide by 8 on both sides of the equation:
We look for the value of the variable y:
Thus, the solution of the system is 
Answer:
Answer:
Option H
Step-by-step explanation:
Perimeter of rectangle= 2(length) +2(width)
100= 2(5a -22) +2[½(a +1)]
Expand:
100= 2(5a) +2(-22) +a +1
100= 10a -44 +a +1
Simplify:
100= 11a -43
+43 on both sides:
11a= 100 +43
11a= 143
Divide both sides by 11:
a= 143 ÷11
a= 13
Thus, option H is correct.
Answer:
c=
Step-by-step explanation:
a=height=6
b=length=4
using pythagorean theorem
a^2+b^2=c^2
36+16=c^2
c=
c=
