Answer:
-6.8125
Step-by-step explanation:
Convert 13/16 to a decimal.
Write -6 down
You get -6.8125.
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Answer:
0.5
Step-by-step explanation:
Ok, so it's asking for what (1/(x-1) - 2/(x^2-1)) approaches as x approaches 1. Before we deal with the limit, let's simplify the inside.
We want to combine the two fractions into one fraction. Therefore, we need a common denominator.
1/(x-1) is equal to (x+1)/((x+1)(x-1) is equal to (x+1)/(x^2-1).
the inside expression is therefore (x+1)/(x^2-1) - 2/(x^2-1)
which simplifies to (x-1)/(x^2-1).
and that simplifies further to 1/(x+1).
Now this is a continuous function when x = 1, so to find the limit as x approaches 1 of this function, we can by definition just plug 1 in.
limx->1 (1/(x+1)) = 1/2.
The reason why we didn't just plug 1 in at the beginning is because the function wasn't continuous when x was 1.
Answer:
make a chart and it will be easy for you
Answer:
-20
Step-by-step explanation:
So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.
Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:

So let's plug this in:



However this is in radians - to convert to degrees, we must use the formula:

So then let's solve for degrees:



So now we know that the angle of elevation is 67.89°.