Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
Answer:
If my math is correct it should be $53.82
Step-by-step explanation:
You Divide 6.3kg by 0.35kg that would give you 18. Then you multiply $2.99 by 18 and that should get you $53.82
Step-by-step explanation:
Scale Factor of UVW to XYZ
= XY/UV = YZ/VW = XZ/UW
= 21/3 = 28/4 = 14/2
= 7. (B)
In order to find what fraction describes this percentage, you first need to know that no matter what percentage you are working with, if you want to convert it into a fraction, put the 35 as the numerator and 100 as the denominator. If you still don't know what I mean, 35 at the top of the fraction and 100 at the bottom. Like this; 35/100. Then, you can simplify it by finding a common multiple between 35 and 100. For example, 5 can be divided into 35 and 100. 35 divided by 5 is 7 and 100 divided by 5 is 20. Your result is 7/20, which can further no more be simplified because there are no more common multiples between the two numbers.
Well, if you put -2 and 2 together, meaning you multiply them, it equals -4.