Answer:
C. 324°
Step-by-step explanation:
We are given that,
The spinner is rotated 180° counter-clockwise about the center and maps J to A.
Since there are 10 sections of the spinner.
So, the angle by each section =
= 36°
That is, the angle which maps J to A clockwise is 36°
<h3>Then, the angle which maps J to A counter-clockwise = 360° - 36° = 324°</h3>
Thus, option C is correct.
Answer:
See Below:
Step-by-step explanation:
Hit Water:
He hits the water when his height, h(t), is 0 meters above water.
0 = ![-5t^2+10t+3\\](https://tex.z-dn.net/?f=-5t%5E2%2B10t%2B3%5C%5C)
This is no factorable so we use the quadratic formula.
(-b±√(b²-4ac))/2a
(-10±√(10²-4*-5*3))/2*-5
(-10±√(100+60))/-10
(-10±√160)/-10
(-10±√16*10)/-10
(-10±4√10)/-10
(-10±4√10)/-10 Seperate to two equations
(-10+ 4√10)/-10 and (-10- 4√10)/-10
(-10+12.65)/-10 (-10-12.65)/-10
-.265 Not Solution 2.265 Seconds
Becasue there is no negative time
The diver hits the water at 2.265 seconds
For when he is at the same height as the spring board, we need to find the height of the spring board, and we do that by substituting 0 for t because we need the height 0 seconds after he jumps.
h(0) = -5*0^2 +10*0 +3
h(0) = 3 The height of the spring board is 3 so we need to know when he is at 3 meters again.
3= -5t^2 + 10t + 3 Subtract 3 from both sides
0= -5t^2 +10t
0= -5(t^2-2t) Factor out -5 and divide both sides by -5
0= t^2-2t
0= t(t-2) Factor out t.
Solve.
t= 0 t-2=0
t= 2
He will be at the same height as the spring board at t= 2 seconds
Answer:
8 inches
Step-by-step explanation
the volume is length x width x height
so the equation would be 8 x 8 x (height) = 512
8x8 is 64, and you divide 512 by 64 which is 8
<u>Given</u>:
(a) To determine the inequality for x for the given line.
<u>Inequality:</u>
Since, from the figure, it is obvious that the number line contains an open circle at the point 3.
This means that the end value 3 is not included in the interval.
Hence, the inequality can be written as ![x](https://tex.z-dn.net/?f=x%3C3)
Thus, the inequality for x is ![x](https://tex.z-dn.net/?f=x%3C3)
(b) <u>Given </u>that
where y is an integer.
We need to determine the possible values of y.
<u>Values of y:</u>
The values of y lie between 2 to 6. Since, the inequality is strictly lesser than, it does not contain the end value.
Therefore, the possible values of y are 3,4,5
(3) <u>Given</u> the inequality ![3 x+7>x+19](https://tex.z-dn.net/?f=3%20x%2B7%3Ex%2B19)
We need to solve the inequality.
<u>Solution:</u>
![3 x>x+12](https://tex.z-dn.net/?f=3%20x%3Ex%2B12)
![2 x>12](https://tex.z-dn.net/?f=2%20x%3E12)
![x>6](https://tex.z-dn.net/?f=x%3E6)
Thus, the solution of the inequality is ![x>6](https://tex.z-dn.net/?f=x%3E6)
Answer:
When solving, you will get a false statement, and therefore there is no solution.
Step-by-step explanation:
Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:
![4x + 5 = 4x - 2\\5 = -2](https://tex.z-dn.net/?f=4x%20%2B%205%20%3D%204x%20-%202%5C%5C5%20%3D%20-2)
In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.