You have a rectangular prism on your hands. The formula for the volume of a rectangular prism is
(B/2) • l
Where B is the area of the base, and l is the length.
If you notice, you do NOT have the height of the triangle. However, you know that it is an equilateral triangle. So, you may split the triangle into two. Once you do, you can see that it is a right triangle. It’s hypotenuse is 3. If you know your triangles, you will realize that this is a 30 60 90 triangle. Therefore, the height will be 1.5 * sqrt(3)
So, to get B...
3 * 1.5sqrt(3)
4.5sqrt(3)
(Divide by 2)
2.25sqrt(3)
O
(9sqrt(3))/4
Multiply by the length of the prism, 6
This is your final answer in fraction form
27
— 2^rt(3)
2
Given the function:
The function can also be written as:
The range of the function will be all set of y values.
To find the range, let's graph the function below.
We have:
From the graph above, all possibe y values range from 0 to infinity.
Therefore, the range of the function is from zero infinity.
In interval notation:
Range = (0, +∞)
ANSWER:
4. (0, +∞)
Multiple-3(x+0.6) and 6(x+2.4) you will get -3x-1.8=6x+14.4 then you add -3x + 6x you will get -9x=14.4+1.8 you add 14.4+1.8 that will give you 16.2 then divide that by -9
Answer:
Smaller=18 degrees; larger= 162 degrees
Step-by-step explanation:
ok so first supplementary angles mean that the two angles added together will equal 180 degrees.
so 1x + 9x = 180 (combine like terms)
10x=180 (divide each side by 10)
x=18
so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162
check: 18 + 162 = 180
12xy2 good luck though :)
