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: The length of AC should be between 5 inches and 25 inches
Step-by-step explanation:
Jose in this problem draws a triangle, AABC.
We know the length of two sides of the triangle:
AB = 10 inches
BC = 15 inches
The length of the third side in a generic triangle can be calculated using the cosine theorem: where
a, b, c are the three sides
is the angle opposite to side
Looking at the formula, we observe that:
- The maximum value for is obtained for , so that . In this case, the length of the missing side (AC, in this case) is
So, the length of AC must be between 5 and 25 inches.
Answer:
n=-25 and SU=100
Step-by-step explanation:
<u><em>Solve for n</em></u>
4n-18=32-6n
-2n=50
n=-25
<u><em>Solve for segment SU</em></u>
4(-25)-18+32-6(-25)=SU
-100-18+32+150=SU
-82+182=SU
100=SU
The answer would be y=1/7x-4
...huh? I don’t really know what all those other letters and numbers are supposed to mean, but I’m fairly sure it’s the same as increasing by 198%.
For Example...
1. 100 • 1.98 = 198, and 100 • 198% = 198
2. 30 • 1.98 = 59.4, and 30 • 198% = 59.4
You could keep doing this for as many numbers as you want, and both the number and the percentage would give you the same answers. Feel free to check my math above if you want.
Anyways, 198% should be your answer. I hope this helps :)