Answer:
The way is in the steps.
Step-by-step explanation:
y = sin(x) has a period of 2π and amplitude of 1.
a) y = a * sin b(x - c) - d
y = 7/2 * sin 2/3(x - π/4) - 2
b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.
The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.
c) Period = 2π/b
Period = 2π/2/3 = 3π
d) Horizontal Shift left/right is dependent on c.
c = π/4 , so Horizontal Shift to the Right by π/4
Vertical Shift up/down is dependent on d.
d = -2 , so Vertical down shift by 2.
Answer:
3.71
Step-by-step explanation:
Add the money.....
Answer:
0,0215
Step-by-step explanation:
Answer:
-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals
Answer:
432 in^2
Step-by-step explanation:
in similar quadrilaterals, the first point of one quad. corresponds to the first point of the other quad, so in this case UA corresponds with CH.
since CH is 3/4 the length of UA, we can also assume that the other sides in ZUCH are 3/4 the length of their corresponding sides in SQUA.
even though we don't know what quadrilateral SQUA and ZUCH are, we know the area of SQUA is 9/16 times less than ZUCH.
want some proof?
lets say SQUA and ZUCH are rectangle/square
ZUCH: 4X4 = 16
SQUA: 3X3 = 9
now lets say they are trapezoids. We will set ZUCH 2nd base to 8 and height to 16, therefore SQUA bases will be 3 and 6, and the height will be 12 (multiply ZUCH lengths by 3/4)
ZUCH = (b1+b2)(h)/2 = (4+8)(16)/2 = 96
SQUA = (b1+b2)(h)/2 = (3+6)(12)/2 = 54
simplify 96/54 = 16/9
now we can multiply 243 by our factor 16/9 to find the area of SQUA.
243 * 16/9 = 432 in^2