The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is
Here x and y are the corresponding sides .
Let the volume of the smaller one be v
So for the smaller solid, volume is 272 . And the correct option is the first option .
<u>Answer:</u>
square units
<u>Step-by-step explanation:</u>
Knowing the function and that the triangle is formed by both the x and y-axis, you already have the triangle's height, which is 10 (the y-intercept of the functon) To find the base length, all you have to do is find the x-intercept. To do that, simply:
Set function equal to 0 and solve for x:
f(x) = 10 - x
0 = 10 - x
x = 10
x =
This means that the base length of the triangle is also . Now that you have the height and base length, you can
Plug values into the formula for the area of a triangle:
The area of a triangle is × height × base
Height = 10, base =
Area = × 10 ×
Area = 5 ×
Area =
Answer:
The factors of the polynomial are x = ±
Step-by-step explanation:
consider x⁴ - 36 = 0
(x² - 6) (x² + 6) = 0
x² = 6 and x² = -6
∴ x = ±
The factors of the polynomial are x = ±