ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
1 answer:
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Answer: by AA.
Step-by-step explanation:
Finding the third angle in triangle XYZ,
,
Thus, by AA.
A histogram is used to show the frequency of data, where the length of the bar represents the frequency.
<em>50 students drank the recommended amount of water.</em>
The recommended amount is given as:
See attachment for histogram.
From the histogram, we have the following observations
- <em>The lengths of all bars of the histogram are less than 48, except one.</em>
- <em>The length of the bar above 48 is 50.</em>
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This means that: 50 students drank the recommended amount of water.
<em>Hence, the number of students is 50</em>
Read more about histograms at
Answer:
<u>Diagram 1</u>
Draw a circle with a radius of 8 cm, ensuring you have clearly marked the center point (black circle with center C1)
Add a point on the circumference of the circle (point C2)
Draw a second circle of radius 8cm with point C2 as its center (red circle with center C2).
<u>Diagram 2</u>
The red circle intersects the black circle at two points (D and E).
Connect these 2 points of intersection with a line segment.
<u>Diagram 3</u>
Draw a third circle with center D and radius DE (shown in blue)
This circle intersects the black circle at point F.
<u>Diagram 4</u>
Draw 2 line segments to connect points D and E with point F - this is your equilateral triangle inside the circle!
Answer:
y = cos(3/2x)
Step-by-step explanation:
A general sine or cosine function will have parameters of amplitude, vertical and horizontal offset, and period. The values of these parameters can be determined from the given graph.
y = A·cos(2π(x -B)/P) +C
where A is the amplitude, B and C are the horizontal and vertical offsets, and P is the period.
<h3>Amplitude</h3>For sine and cosine functions, the amplitude of the function is half the difference between the maximum and minimum:
A = (3 -1)/2 = 1
<h3>Horizontal offset</h3>A sine function has its first rising zero-crossing at x=0. A cosine has its first peak at x=0. The given graph has its first peak at x=0, so it is a cosine function with no horizontal offset.
B = 0
<h3>Vertical offset</h3>For sine and cosine functions, the vertical offset is the average of the maximum and minimum values:
C = (3 +1)/2 = 2
<h3>Period</h3>The period is the difference in x-values between points where the function starts to repeat itself. Here, we can use the peaks to identify the period as 4π/3.
P = 4π/3
<h3>Function equation</h3>Using the parameter values we determined, the function can be written as ...
y = cos(3/2x) +2
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<em>Additional comment</em>
The argument of the cosine function is ...