The size of a TV is measured by its diagonal. You want to buy a TV that has a 32-inch screen and a height of 15.7 inches. What i
2 answers:
Think of the space created with the diagonal line like a triangle. There are three sides. the longest side, the diagonal line is 32 inches. one of the other sides is 15.7 inches. Using Pythagoras theorem, we know that a^2 + b^2 = c^2, where c is the longest side of the triangle (32inches) and either a or b is 15.7inches. let's say that a is 15.7 inches. if we substitute these values we just assigned to a and c into Pythagoras' theorem above, we get 15.7^2 +b^2 = 32^2. we can simplify this to 246.49 + b^2 = 1024. We then subtract 246.49 from both sides of the equation to get b^2 = 777.51. we then square root both sides of the equation to get b = 27.88 (rounded to 2 decimal places). because b is the width of the TV, the width of the TV is 27.88 inches.
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B=3; C=16; and E=4096.
Using the information we have gives us
We know that:
We know that 2³ = 8, so B = 3.
To "undo" a square root, we square the number; 4²=16, so C = 16.
To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.
Using the information we have gives us
We know that:
We know that 2³ = 8, so B = 3.
To "undo" a square root, we square the number; 4²=16, so C = 16.
To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.
Answer:
Step-by-step explanation:
<u>The Derivative of a Function</u>
The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula
There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.
The derivative of the inverse tangent is given as
Where u is a function of x as provided:
If we set
Then
Taking the derivative of y
Using the change of variables
Operating