Answer:
14
Step-by-step explanation:
add
Answer:
A .cos(x)<1
Step-by-step explanation:
According to the first inequality
cos(x)<1
x < arccos 1
x<0
This therefore does not have a solution within the range 0 ≤ x ≤ 2pi
x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.
For the second option
.cos(x/2)<1
x/2< arccos1
x/2<0
x<0
This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.
For the inequality csc(x)<1
1/sin(x) < 1
1< sin(x)
sinx>1
x>arcsin1
x>90°
x>π/2
This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values
For the inequality csc(x/2)<1
1/sin(x/2) < 1
1< sin(x/2)
sin(x/2)> 1
x/2 > arcsin1
X/2 > 90°
x>180°
x>π
This value of x also has a solution within the range.
Therefore option A is the only inequality that does not have a solution with the range.
Answer:
The original price is 337.50
Step-by-step explanation:
If we get 20% off, we still have to pay 100-20 =80%
Let x be the original price
x *80% = 270
.80x = 270
Divide each side by .80
.80x/.80 = 270/.80
x =337.50
The original price is 337.50
Answer:
<h3>
(6, 3)</h3>
Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation down (or up) means change of the y-coordinate.
(3, 8) → (3+3, 8-5) = (6, 3)
75% = 330 gumballs
Find 1%:
1% = 330 ÷ 75 = 4.4 gumballs
Find 100%:
100% = 4.4 x 100 = 440 gumballs.
Answer: 440 gumballs.