The biggest cone that can fit into a cube of side 3cm would have a diameter of 3 and height of 3, therefor if the volume of a cone = πr^2h*1/3, then:
Volume = π*1.5^2*3*1/3
= 2.25π
= 9π/4 cm^3
The slope of the line (m) = 3/1 = 3
and the y intercept is at (0,3) that is y = 3 so b = 3
using the slope intercept form y = mx + b
m = 3 and b = 3
so answer is y = 3x + 3
Answer:
C. -2x+y=1
Step-by-step explanation:
If we move 2x to the other side of the equation, its sign will change from positive to negative.
Answer:
Larger number (y) is 39
Smaller number (x) = 66 - 39 = 27.
Step-by-step explanation:
Let the smaller number be<em> x</em> and the larger number be <em>y</em>.
Sum of two numbers = 66
According to question,
<em>x </em>+<em> y</em> = 66
<em>x</em> = 66 - <em>y</em>.........(1)
Now, since twice of smaller number is 15 more than the larger number, According to question,
2(smaller number) = larger number + 15
2<em>x</em> = <em>y</em> + 15 .........(2)
Now substituting the value of y from (1) in (2)
2 (66 - <em>y</em>) = <em>y</em> + 15
132 - 2<em>y</em> =<em> y </em>+ 15
-2<em>y - y</em> = -132 + 15
3<em>y </em>= 117
<em>y</em> = 117/3 = 39
So the largest number (y) is 39
Smaller number (x) = 66 - 39 = 27.
Answer:
A is a function; B, C and D are not.
Step-by-step explanation:
In other words: Identify the sole function among these relationships.
A function maps any input onto exactly one output.
If a relationship maps any input onto more than one output, it is not a function.
Thus, we eliminate B, C and D. In B, for example, we have the inputs {1, 2, 3}, where the '1' has two y-values associated with it.
On the other hand, A has the domain {-1, 0, 1, 2}, and all four inputs have exactly one associated output.
