Answer:
Subtract
Step-by-step explanation:
Given
Required
The first step to evaluate the expression
The first step is to evaluate the expression in brackets.
From the question: The expression in bracket is:
So, the first step is to subtract
I don't get this I need help
1 answer:
We notice from the choices, that the problem is solved using the Pythagorean theorem somehow. How?
If ABC was a right triangle, the hypotenuse would be BC (the largest side), so the right angle would be A.
In that case we would have 54 squared (which equals 2916) equal to the sum of the squares of 22 and 51 (which equals 3085).
If the triangle was a right triangle,
would be exactly equal to 
, but it is larger. This means that a right angle is not large enough to 'enclose' . Thus angle A must be opened more that 90°.
Thus the answer is D:
an obtuse triangle because
If ABC was a right triangle, the hypotenuse would be BC (the largest side), so the right angle would be A.
In that case we would have 54 squared (which equals 2916) equal to the sum of the squares of 22 and 51 (which equals 3085).
If the triangle was a right triangle,
Thus the answer is D:
an obtuse triangle because
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Answer:
See Below.
Step-by-step explanation:
We have:
First, we can subtract within the parentheses:
By the properties of exponents:
Approximate. Use a calculator:
Notes:
0.993 is only an approximation, hence the approximately equal sign.
I'm not given the context of the problem, but it's simpler to just simplify in the exponent like so (the fractions cancel):
Full Problem:
The value of Sara's car decreases at a rate of 8% per year.
We will use the exponential decay formula with a set time, given by:
Where a is the initial value, r is the rate, x is the time that has passed (dependent on d), and d is the amount of time for one decrease.
For this problem, we can ignore the initial value.
And since the value decreases at a rate of 8% per year, r = 0.92 (we acquire this from 1 - 0.08).
Part 1) Per Month:
Since it decreases per month, d = 12.
Approximate:
In this case, x is measured in months.
Part 2) Per Week:
Since it decreases per week, d = 52.
Approximate:
In this case, x is measured in weeks.
Part 3) Per Day:
So, d = 365.
Simplify:
In this case, x is measured in days.
Part 4)
So, as d increases, our r increases as well.
Therefore, the smaller the time interval (from months to weeks to days), the higher our rate of decrease is.