Answer: 12.56 (insert units)
Step-by-step explanation:
radius = 2
so pi x r^2 = 3.14 x 2^2 = 12.56
(Units were not mentioned)
Answer:
Step-by-step explanation:
The amount formula in compound interest is:
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2000
t = 7 (number of years from 6th to 13th bday)
n = 4 (quarterly in a year)
Then,
Answer:
1/4 = 0.25
Step-by-step explanation:
A pentagonal prism, a rectangular prism, and a square pyramid all have rectangular faces but a hexagonal pyramid does not.
A hexagonal pyramid only consists of a hexagon and triangles. Therefore, the answer is B. Hexagonal Pyramid.
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
