Step 1: Simplify both sides of the equation.
−36=p−30
Step 2: Flip the equation.
p−30=−36
Step 3: Add 30 to both sides.
p−30+30=−36+30
p=−6
Answer:
300 books
Step-by-step explanation:
10 x 6 = 1 min
50 x 6 = 300
Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula
. Remember that
is the center and
is the radius squared.
So, the equation of the circle must be
. Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:

The end result matches with the equation determined before, so option A is the answer.
Answer: last option (5π√146 units²)
Step-by-step explanation:
To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:

where r is the radius but L is the slant height.
As you can see in the figure attached:

But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):

Substitute into the formula, then:
units²