Answer:
x = 49°
y = 41°
Step-by-step explanation:
Recall: SOH CAH TOA
✔️To find x, the trig function we would apply is Cos, which is:
Cos θ = Adjacent/Hypotenuse (CAH)
θ = x
Adjacent = 13
Hypotenuse = 20
x = 49.4583981°
x = 49° (nearest degree)
✔️To find y, the trig function we would apply is Sin, which is:
Sin θ = Opposite/Hypotenuse (SOH)
θ = y
Opposite = 13
Hypotenuse = 20
y = 40.5416019°
y = 41° (nearest degree)
Start by writing out the formulas for perimeter and area:
P=2L+2W A=L*W
We know that A = L*W = 336 sq meters and that P=2L + 2W = 100m.
Let's solve the first equation for L: L = 336/W
Subst. this into the formula for perimeter: 2[336/W] + 2W = 100 m (given)
Now all you have to do is to solve this for W:
336/W + W = 50 becomes 336 + W^2 = 50W.
Then W^2 - 50W + 336 = 0. Using the quadratic formula, I found that
50 plus or minus sqrt (1156) 50 plus or minus 34
W = ---------------------------------------- = -------------------------------
2 2
W has to be positive. Thus, choose W = (50+34) / 2 = 42
Then L = 336 / W, or 336 / 42, or 8.
The dimensions of this rectangle are 8 by 42.
You should check these results. Does P = 2(8) + 2(42) = 100 ?
Answer:
4, 7, 12, 19 and 103
Step-by-step explanation:
Substitute n = 1, 2, 3, 4, 10 into the n th term formula, that is
1² + 3 = 1 + 3 = 4
2² + 3 = 4 + 3 = 7
3² + 3 = 9 + 3 = 12
4² + 3 = 16 + 3 = 19
Thus the first 4 terms are 4, 7, 12, 19
10² + 3 = 100 + 3 = 103
Thus the 10 th term is 103
Answer: The answer is T=518.4
