Answer:
2/65 = 4 teachers for 130
3/100 = 9 teachers for 300
2/55 = 8 teachers for 220
3/85 = 6 teachers for 170
Step-by-step explanation:
Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
Opposite sides ofa parallelogram are equal.
Therefore, AB= CD and AD= BC.
Diagonals of a parallelogram bisect each other.
Measure of opposite angles of a parallelgram also equal.
So, <ADC= <ABC and <BAD=<BDC
Since diagonal of a parallelogram bisect each other so AC and BD are intersecting at the point E.
Hence, AE= CE and BE= DE.
Hence, the correct choice is 4)AE=CE.
2 7/22 is the mixed number.
We will have 16 white counters in the bag.
Given that there are blue, red, and white counters in a bag in the ratio 16:3:2, the total number of balls will be:
- Total = 16 + 3 + 2
- Total = 21
If there are <em>112 more blue counters than white counters</em>, then;
number of blues = number of white + 112
16x = 2x + 112
14x = 112
x = 8
Number of white counters = 2x = 2(8) = 16
Therefore we will have 16 white counters in the bag.
Learn more on ratios here: brainly.com/question/2914376
