Answer:
15x^2 - 12x^3
Step-by-step explanation:
A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.
It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.
Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:
4*x + 4*3x + 4*height = 20
4x + 12x + 4h = 20
16x + 4h = 20
4h = 20 - 16x
h = 5 - 4x
Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.
x*3x*(5-4x)
3x^2(5-4x)
15x^2 - 12x^3
Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer
If the rate at which they are giving the DVDs is the same then it is 4/65 or 16.25% or 0.1625.
Now just multiply 455 by the rate (4/65 or 16.25% or 0.1625) to find how many DVDs were given.
455 × (4/65) = 28
28 DVDs were given away
hope it helps :)
Answer:
Cone
Step-by-step explanation:
Rotation means the circular moment of an object about some axis or center.
In the given figure, the shape is rotated along the dashed line.
The size of the object remains same after rotation.
After rotating about the dashed line, we observe that the object formed is three- dimensional and is in the shape of a cone.
Answer:
1.09 seconds
Step-by-step explanation:
I need the image that I am going to attach to solve the exercise.
We have the following information:
Confetti height from the ground is 25 feet
Person's height is 6 feet
So, the distance that the confetti would fall would be the subtraction of these heights, that is:
25-6 = 19 feet
d = 19 feet
We use the 5th equation of the attached image:
t = d ^ (1/2) / 4
replacing:
t = 19 ^ (1/2) / 4
t = 1.09 seconds
The student scored 35 in the test
workingout:
70/100 x 50 = 35
to make sure :
35/50 x 100 = 70
:)