Answer:
Correct, as 4 is the only number repeating twice
Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
A. 6x/7 = (6/7)x
These are equal
Answer:
So first you know automatically that either side of the line is 180 degrees. So 180-155 would get you 25 degrees so you now know that y=5. we know that it is also a right angle therefore you divide 65 (x-90) by 13 and you get that x is also equal to five
Step-by-step explanation:
Answer:
Therefore the volume of the box is 13824 in³
Step-by-step explanation:
Given:
A spherical ball with is packaged in a box that is in the shape of a cube.
Volume of ball = 2304π in³.
Let 'r' be the radius of sphere
To Find:
Volume of Cube = ?
Solution:
Volume of sphere is given by

Substituting the values we get

Now we know that diameter is given by

it is given that,
The edge length of the box is equal to the diameter of the ball.
Therefore the length of cube = 24 in
Now the volume of the cube is given by

substituting the values we get

Therefore the volume of the box is 13824 in³