"Prediction" is the one among the following choices given in the question that you are not l<span>ikely to see on a graph. The correct option among all the options that are given in the question is the fourth option or the last option. I hope that this is the answer that has actually come to your desired help.</span>
Answer:
Step-by-step explanation:
a1 = 8
a9 = 56
Using formula for finding nth term of arithmeric sequence
We have to find 24th term, therefore n = 24
is the first term but we are missing d
d is the difference between the two consecutive terms, lets calculate it first
a9 = 56
Using the above given formula for finding d
put n = 9, a9= 56
56 = 8 + 8d
8d = 48
d = 6
Getting back to main part of finding 24th term
n = 24, d = 6, a1 = 8
put values in nth term formula
Answer:
2.55
Step-by-step explanation:1
Convert 1121\frac{1}{2}121 to improper fraction. Use this rule: abc=ac+bca \frac{b}{c}=\frac{ac+b}{c}acb=cac+b.
34+3.3−1×2+12\frac{3}{4}+3.3-\frac{1\times 2+1}{2}43+3.3−21×2+1
2
Simplify 1×21\times 21×2 to 222.
34+3.3−2+12\frac{3}{4}+3.3-\frac{2+1}{2}43+3.3−22+1
3
Simplify 2+12+12+1 to 333.
34+3.3−32\frac{3}{4}+3.3-\frac{3}{2}43+3.3−23
4
Simplify.
5.12\frac{5.1}{2}25.1
5
Simplify.
2.552.552.55
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
