Answer:
c) 30
Step-by-step explanation:
since the lines are parallel, 75° = 2x + 15°
this is because when two parallels lines are intersected by the same line, all respective angles are equal. Also, opposite angles on a line are equal too.
So now that u have 75 = 2x + 15, just solve for x by simplifying:
75 = 2x + 15
60 = 2x
30 = x
so the answer is c) 30
hope this helps!
Answer:
5/8 is greater than 4/6 so put 5/8 on the right side and 4/6 on the left side.
Step-by-step explanation:
Answer:
Step-by-step explanation:
First make all the fractions into decimals
1/5 = 0.2
2/5 = 0.4
As we know non terminating numbers are irrational so make up any non terminating number between 0.2 and 0.4
Like 0.3454672438700894......
Or 0.27435847454706.....
Options are infinite
Answer:
a.
Period = π
Amplitude = 4
b.
Maximum at: x = 0, π and 2π
Minimum at: x = π/2 and 3π/2
Zeros at: x = π/4, 3π/4, 5π/4 and 7π/4
Step-by-step explanation:
Part a:
Amplitude represents the half of the distance between the maximum point and the minimum point of the function. So the easy way to find the amplitude is: Find the difference between maximum and minimum value of the function and divide the difference by 2.
So, amplitude will be: ![\frac{Maximum-Minimum}{2}=\frac{4-(-4)}{2}=\frac{8}{2}=4](https://tex.z-dn.net/?f=%5Cfrac%7BMaximum-Minimum%7D%7B2%7D%3D%5Cfrac%7B4-%28-4%29%7D%7B2%7D%3D%5Cfrac%7B8%7D%7B2%7D%3D4)
Therefore, the amplitude of the function is 4.
Period is the time in which the function completes its one cycle. From the graph we can see that cosine started at 0 and completed its cycle at π. After π the same value starts to repeat. So the period of the given cosine function is π.
Part b:
From the graph we can see that the maximum values occur at the following points: x = 0, π and 2π
The scale on x-axis between 0 and π is divided into 4 squares, so each square represents π/4
Therefore, the minimum value occurs at x = π/2 and 3π/2
Zeros occur where the graph crosses the x-axis. So the zeros occur at the following points: π/4, 3π/4, 5π/4 and 7π/4