Answer:
Step-by-step explanation:
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:

Where "k" is the constant of proportionality.
We can choose the point
) from the table, where:

Substituting these values into
and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For
:

2) For
:

3) For
:

Here are the 4 inequality signs.

---> a is less than b

---> a is less than or equal to b

---> a is greater than b

---> a is greater than or equal to b
For the second and fourth lines above, the two sides may or may not be equal.
For the first and third lines above, the two sides cannot be equal.
Answer:

Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

To calculate the height of the cone, we must use the Pythagorean Theorem:

We can treat the side length as the hypotenuse
, the radius as the base
, and solve for height
. Set the expression up like this:

Now we can plug into our original formula:
