Answer: The possible side lengths are either 16 inches or 20 inches
Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.
If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;
Volume = L x W x H
Knowing that all three dimensions are the same the formula can be re-written as;
Volume = L³
4096 = L³
Add the cube root sign to both sides of the equation
∛4096 = ∛L³
16 = L
Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;
Volume = L³
8000 = L³
Add the cube root sign to both sides of the equation
∛8000 = ∛L³
20 = L
Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches
c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7
Convert mixed fraction into a simple fraction
6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7
c/7 = 43/7
proportionality:
a/b = c/d where ad = bc
a = c
b = 7
c = 43
d = 7
ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43
Given:
Consider the below figure attached with this question.
and 
.
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
Now,
Therefore, the measure of angle 3 is 140 degrees.
Answer:
Step-by-step explanation:
It's number 5 if A player a value their piece as 25%, than player B will to because it was divide fair.
and number 3 player A must value their piece as exactly 25%
Answer:
2: 90
3: 110
4. 130
5. 150
and so on.
Step-by-step explanation:
