Answer:
68° and 112°
Step-by-step explanation:
Supplementary angles sum to 180°
let the smaller angle be x then the larger angle is x + 44 , then
x + x + 44 = 180 , that is
2x + 44 = 180 ( subtract 44 from both sides )
2x = 136 ( divide both sides by 2 )
x = 68
Smaller angle = 68° and
larger angle = x + 44 = 68 + 44 = 112°
Answer:
3.6666 (I didn't round)
Repeating decimal
Step-by-step explanation:
We know that
2/3
is the same as
2÷3
Therefore:
3 2/3 = 3+(2÷3) = 3 + 0.6666 =3.6666
A repeating decimal is one that keeps going and repeats a pattern. This is decimal keeps going and repeats a pattern so it is a repeating decimal.
A terminating decimal is one that terminates or ends. This decimal does not terminate or end. It keeps going.
Hope this helped.
Answer:
Ani age is 21
Biju age is 18
Step-by-step explanation:
let Ani age be X
let Biju age be Y
the difference of their age is 3
i.e X - Y = 3......,....(equ. 1)
let Dharam age be A
let Cathy age be B
i.e A = 2x
B = y/2
the difference of their age is 30
Y/2 - 2x = 30..... (equ. 2)
from equ.1 X = ( 3+y).........( equ.3)
y/2 - 2(3+y) = 30
y/2 - 6 + 2y = 30
multiply both side by 2
y - 6 + 2y = 60
y + 2y = 60 - 6
3y = 54
Y = 18
from equ.3
X = 3+Y where y is 18
X = 3+18 = 21
<u>Answer:</u>
A. y = -2 - cos(x-π)
<u>Explanation:</u>
<u>The general form of the trig equation is:</u>
y = A sin (Bx + C) + D
where:
A is the amplitude
is the period
is the phase shift
D is the vertical shift
<u>Now, let's check the choices:</u>
<u>A. y = -2 - cos(x-π)</u>
Therefore, the function has a phase shift of π
<u>B. y = 3 cos(4x)</u>
Therefore, the function has no phase shift
<u>C. y = tan(2x)</u>
Therefore, the function has no phase shift
<u>D. y = 1 + sin(x)</u>
Therefore, the function has no phase shift
<u>Based on the above,</u> the correct answer is A
Hope this helps :)
Answer:
Y=total cost of purchasing the pencils
Step-by-step explanation:
Y=3.5x+2.99
Where,
Y=total cost of purchasing the pencils
3.5=price of each pencil
X= number of pencils bought
2.99= shipping cost
For instance, if you order for 5 pencils on Amazon, the total cost of purchasing it is
Y=$3.50(5)+$2.99
Y=$17.50+$2.99
Y=$20.49
