Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
Step-by-step explanation:
35 = x% of 70
35 = 1/2 of 70
x% = 50%
x = 50
Answer:
It doesn't form a right triangle
Step-by-step explanation:
According to the Pythagorean theorem, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2 + b^2 = c^2 by substituting the three values, 10, 15, and 20 you should get an equivalent value of the hypotenuse.
10^2 + 15^2 = 20^2
100 + 225 = 400
325 =/= 400
This is false.
Since this is not equivalent, it is NOT a right triangle.
Hope this helped :)
By the chain rule,
We also have
,
, and
, so at this point we get
Answer:
363.6
Step-by-step explanation:
Given in the question,
side of square = 10
Step 1
To find the slant height pyramid we will use pythagorus theorem
13² = 5² + height²
height = √13² - 5²
= 12
Now find the height of the pyramid
12² = 5² + height²
height = 10.91
Step 2
Base area of the pyramid
area = l²
= 10²
= 100
Step 3
Volume = 1/3(height)(basearea)
= 1/3(10.91)(100)
= 363.6
