Answer:
x= 12
Step-by-step explanation
3x+8=44
subtract 8 from both sides: 3x+8= 44
-8 -8
3x=36
then divide by 3 on both sides
3x=36
3 3
which leaves : x=12
my explaining is horrible but i hope this helps
Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
Answer: 53.40
Step-by-step explanation:
Tax = 7% of 43.45 = 3.04
Tip = 15% of (3.04 + 43.45) = 6.91
Total = 43.45 + 3.04 + 6.91
Answer:
The length of shadow is 69 foot.
Step-by-step explanation:
We are given a shadow of lighthouse.
Length of top of lighthouse to end of shadow is 90 ft.
Angle make at top of lighthouse is 50°
Distance from foot of lighthouse to end of shadow is x ft.
we need to find the length of shadow i,e x ft
Using trigonometry ration:
Hence, The length of shadow is 69 foot.
