Answer:
336 cubic cm
Step-by-step explanation:
Volume of cone + (Volume of Sphere/2)
V (cone) = (π
h)/3
= π
(12) ÷ 3
= 64π ≈ 201 cm
V (sphere) = 4/3π
/2
= [4/3π(4^3)] ÷ 2
= (256π/3) ÷ 2
≈ 43π ≈ 135
Answer:
x = 3
y = 1
Step-by-step explanation:
(2x + 4y = 10) * 2 = (4x + 8y =20)
4x = 20 - 8y
Plug that into the other equation
(20 - 8y) - y = 11
-9y = -9
y = 1
Plug this value into one of the original equations
2x + 4(1) = 10
2x = 6
x = 3
Answer:
its 988080808808080808080808000000000000000000000000000000000
Step-by-step explanation:
988080808808080808080808000000000000000000000000000000000
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:

And an odd function has the following property:

So, let's test some values for cos(x).
Let's use π/3:

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:

And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!