Tan^-1(5/14) equals 19.654
Answer:
Step-by-step explanation:
This is a right triangle, which we know because of the little square in the corner.
We can use the Pythagorean Theorem:
where <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
In this triangle, 28 and 45 are the legs, because they make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle.
Solve the exponents.
Add the two numbers.
Solve for c by isolating it on one side of the equation. c is being squared. The Inverse of a square is the square root. Take the square root of both sides of the equation.
The third side and hypotenuse of the triangle is <u>53</u>
I honestly have no idea I've been trying to figure this out for like 5-10 minutes and still have no clue
<h3>
Answer: B. Yes, d = 3</h3>
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Explanation:
d = common difference, which is what we add on each time to get the next term
In this case, d = 3 means we add 3 each time to generate each new term
- -11+3 = -8
- -8+3 = -5
- -5+3 = -2
- -2+3 = 1
This pattern continues on forever.
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Another way to see that d = 3 is to notice this is the difference between any two adjacent terms.
- d = term2 - term1 = -8 - (-11) = -8 + 11 = 3
- d = term3 - term2 = -5 - (-8) = -5 + 8 = 3
- d = term4 - term3 = -2 - (-5) = -2+5 = 3
- d = term5 - term4 = 1 - (-2) = 1 + 2 = 3
Each gap is 3 units wide, which helps us see we have an arithmetic sequence.
A sequence like {-11,-8,-5,-2,2} is not arithmetic because the gap between the terms of -11,-8,-5,-2 is 3, but the gap from -2 to 2 is not 3. So the gap must stay the same the entire time to get an arithmetic sequence.