First, you would have to change 4 1/2 to a improper fraction, by multiplying the whole by the denominator which is 8, the you add that to the numerator which is one giving you nine. The denominator stays the same but the numerator would now be nine. Then you would have to kfc our new equation 9/2 / 3/4. K means you keep the first improper fraction so it stays as 9/2. F equals flip so you would have to flip the numerator and the denominator of the second improper fraction making it now 4/3. Then lastly, c equals change meaning you would have to change the operation of dividing to multiplying making the new equation 9/2 * 4/3 = 36/6 = 6. I hope my explanation helped.
Answer: 47°
To find the answer, you must use sin⁻¹ (INVERSE SIN) to find x which is the reference angle.
If you look at the triangle, you can tell that we must use sin because we have an opposite (39) and an hypotenuse length (53).
Sine = OPPOSITE/Hypotenuse
So you use a calculator and insert sin⁻¹ 39/ 53.
Or depending on your calculator you could insert 39/ 53, then sin after it.
The calculator would give you <u>47.379009047.</u>
But you have to round 47.379009047 to the nearest degree, so your answer is 47°.
The sequence diverges because the value of the absolute common ratio r is greater than the 1.
<h3>What is convergent of a series?</h3>
A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3
r = 3
We know the formula for a geometric sequence:
A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
Learn more about the convergent of a series here:
brainly.com/question/15415793
#SPJ1
1/311875200.
There is exactly 1 way to have all 5 of these cards. For the first card, there are 52 total cards to be had; for the second, 51; for the third, 50; for the fourth, 49; and for the fifth, 48:
(1/52)(1/51)(1/50)(1/49)(1/48) = 1/311875200.
