Answer:

Step-by-step explanation:
The trigonometric identity is :

We need to express secθ in terms of tanθ.
The above equation becomes,

Hence, this is the required solution.
Answer:
128 cubes can fit in.
Step-by-step explanation:
We are given: Volume of rectangular prism = 2 units³ and Cube with edge = 1/4 unit
We must find: The number of cubes that can fill the prism
Firstly, find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Next find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
Therefore 128 cubes can fit in.
Answer:
1.34%
Step-by-step explanation:
In order to find the percentage increase between these two prices, we must first find the difference in price. We calculate this by subtracting the final price by the initial price like so...
$9.84 - 9.71 = 0.13
Now we divide the difference by the initial price to find what percentage of the initial price this difference is, since this percentage difference was added to the initial price to get the new and final price point.
0.13 / 9.71 = 0.013388 ... multiply by 100 to get percent value
0.013388 * 100 = 1.3388% or 1.34% rounded.