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 .
Answer:
36.1 meters
Step-by-step explanation:
Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.
I'll choose to look at the bottom triangle in this case
30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.
20 is A, 30 is B, and the missing side is C
C, the missing side to the nearest tenth is 36.1 meters
Answer:
x = -34
, y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34
, y = 31
(-2/5)-(-1/8)
Need to make the denominators the same
(-16/40)-(-5/40)
Multiply -2/5 by 8
Multiply -1/8 by 8
-- sign= positive
-16/40+5/40
Answer=-11/40
Answer:
m= 9/8
Step-by-step explanation:
(5, 2) and (-3, -7)
Slope:
m=(y2-y1)/(x2-x1)
m=(-7-2)/(-3-5)
m=(-9)/(-8)
m=9/8
