Given:
Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.
To find:
The surface area of the prism.
Solution:
The surface area of a rectangular prism is:
Where, l is length, b is breadth and h is height.
Putting 
, we get
Therefore, the surface area of the prism is 252 square meters.
Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-h > 1
Divide both sides by -1.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-h ÷ -1 < 1 ÷ -1
h < -1
Answer:
Step-by-step explanation:
Integrating each term with respect to x, we get:
x^3 x^2
f(x) = 9--------- + 4------- - 4x + C
3 2
We are told that if x = 0, f(x) = -7, and so C must equal - 7.
The solution is
x^3 x^2
f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7
3 2
Answer:
y=-1/4x+3
Step-by-step explanation:
Answer:
The new volume of an enlarged tank is 4000m³
Step-by-step explanation:
The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times
h * w * l = 32 m³
(h*5) * (w*5) * (l*5)
if we rearrange the multiplications
(h * w * l) * 5 *5 * 5 =
v * 5 * 5 * 5 =
32m³ * 5 *5 *5 = 4000m³
