your answer is B the second one!
Answer:
There are no possible solutions
Step-by-step explanation:
Given:
Minimum number of coins Alexa has =28 coins
Number of quarters Alexa has = 17 quarters
Total amount in coins = $5.05 = 505 cents
Let number of dimes be = 
coins
So we can have two inequalities.
1) Total number of coins
[Since minimum number of coins=28]
2) Total value of coins
[As 1 dime=10 cents and 1 quarter=25 cents]
Solving inequality (1)
Subtracting both sides by 17.
∴ 
Solving inequality (2)
Subtracting both sides by 425.
Dividing both sides by 10.
∴ 
On combining both solutions
and ,
we see that there are no possible solutions as number of dimes cannot be ≥11 and ≤8 at the same time.
Answer:
If you place two collinear points, then they will fall on the same line
Step-by-step explanation:
?
Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
