Answer:
(At least) 10 centimeters.
Step-by-step explanation:
The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.
We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.
First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:
Since the radius is 2.5 cm, the volume of the full ice cream scoop is:
Use a calculator:
The volume of a cone is given by:
The radius of the cone is 2.5 cm. Therefore:
The volume of the cone should be equal to the volume of the scoop. So:
Solve for h:
The height of the cone should be (at least) 10 cm.
Answer:He has 74 baseball cards
Step-by-step explanation:
He has 38 baseball cards left, and since his dog ate half of it he must have had double the amount of cards. So 38 + 38 . This equals to 74.
<h3>
Answers:</h3>
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Explanation:
The given piecewise function is
At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
- f(x) = -4x+3 when x < 3
- f(x) = -x^3 when
- f(x) = 3x^2+1 when x > 8
In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
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f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
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Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
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Side notes:
- We won't use the second definition since we don't have any x inputs between 3 and 8
- To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example,
is the same as x<=5
The lateral area of the shape is the sum of the area of all lateral faces.
The area of the lateral face that is rectangle with sides 5 mi and 2 mi is
As you can see the shape has all four lateral faces of the same rectangular form with the same sides lengths, therefore,
Answer: correct choice is B.
Answer:
Step-by-step explanation:
With reference < H
perpendicular (p) = 12
base (b) = 5
so now
tangent of < H
= p / b
= 12 / 5
hope it helps :)
