Step-by-step explanation:
Just multiple and maybe devide
First, we know that angle B is congruent to angle E.
2x + 40 = 5x + 10
2x + 30 = 5x
30 = 3x
x = 10
Angle B and Angle E = 60 degrees
Angle C = 14 degrees
Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.
60 + 14 + D = 180
74 + D = 180
D = 106
Angle D = 106 degrees
Hope this helps!
Answer:
The answer is F. 0.97
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Step-by-step explanation:
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
Answer:
Radius of the sphere =
Step-by-step explanation:
Volume of a sphere is :
For, Volume =
As,
The radius of the sphere is :