0.75(2 + 6 x 4 - 2 x 7 - 2) A. 1 B. 5.25 C. 8.5 D. 22.5
1 answer:
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9514 1404 393
Answer:
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
Step-by-step explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
- no square roots: -1000, -8
- one square root: 0
- two square roots: 8, 64, 1000
- no cube roots: <none>
- one cube root: -1000, -8, 0, 8, 64, 1000
- two cube roots: <none>
_____
<em>Additional comment</em>
We call the square root curve a "relation" because it is <em>not a function</em>. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.
Answer:
Surface area =
Volume =
Step-by-step explanation:
To find the surface area of our cone, we are using the formula for the surface area of a cone:
where
is the surface area
is the radius
is the height
Notice that the height, radius, and slant height make a right triangle, so to find the height, , we can use the Pythagorean theorem:
cm
We have all we need now to find the surface area of our cone:
Now, to find the volume of our cone, we are using the formula for the volume of a cone:
where
is the volume
is the radius
is the height
Replacing values
We can conclude that the surface area of our cone is 261.6 square centimeters and its volume is 281.2 cubic centimeters.