Tan^2 x - Tan^ x sin^2 x
= tan^2x ( 1 - sin^2 x)
= tan^2 x * cos^x
= sin^2 x * cos^2 x
----------------------
cos^2 x
= sin^2 x
Answer:
8 cm and 9 cm by using a>b+c where a, b and c are sides of a triangle
X = 75 is the answer is x+25=100
Answer: Both
Explanation: The triangles all have corresponding congruent angles. We can tell this by finding the third angle of the original problem: 96.
Then you can read each triangle by what it states. Angle A is congruent to the corresponding angles in the other triangles, which are Q and T. Angle B is congruent to the corresponding angles in the other triangles, which are R and U. Angle C is congruent to the corresponding angles in the other triangles, which are S and V.
We know heard similar since they have congruent angle measures in corresponding spots.
Answer:
1. 301.6 
2. 576 
3. 274.41 
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and
. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)