Answer:
V(x)=(x+9) * (x-4) * (x+6)
Step-by-step explanation:
A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula
V = w * h * l
where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.
V(x)=(x+9) * (x-4) * (x+6)
Answer:
0.08 cubic feet.
Step-by-step explanation:
You have a small marble statue of Mozart that is 10 inches tall and is made of 16 cu. inches of marble.
The original statue in Vienna is 7 feet tall.
First we will convert this to inches as one relation is given in inches.
1 feet = 12 inches
7 feet = 
inches
Let the amount of marble used for 84 inches statue be = x
We can relate both the conditions in the following way:
x = 134.40 cubic inches
Now, 1 cubic inch = 
cubic foot
So, 134.40 cubic inches = 
cubic foot
= 0.0777 cubic feet rounding to 0.08 cubic feet.
Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only.
The angle formed is 31 degrees which occurs between two sides that are AD and BC.
We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.
Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD
Using formula for tanθ
tanθ = Perpendicular/Base
tan31 = 3/BD
0.601 = 3/BD
BD = 3/0.601
BD = 4.99 units
Answer:
15+5 and 5(3 + 1)
Step-by-step explanation:
I did the test :3
Answer:Obtain a systematic sample by selecting every 20th vehicle that passes (in any lane and going in any direction).
Step-by-step explanation:
