Determine the amplitude or Period as requested. Period of y= -2 sin x
1 answer:
amplitude: 2
period: 2pi
The equation for a sin function is:
a = the amplitude
b = the period
c = the horizontal shift
d = the vertical shift
the equation to find the period of a sin function is:
note: the amplitude is always a positive number, if there is a negative sign in front of it then that means it reflects over the x-axis.
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Answer:
Height of mound = 794 ft
Step-by-step explanation:
To illustrate the angle of elevation and distance, i have drawn it and attached below.
Now, from my diagram;
h = the height of the mound
At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"
So, by triangle definition,
tan(40°) = h/x
And so;
h = x tan40
h = 0.8391x - - - - (eq 1)
At his second point of the trip to the foot of the mound, Joe is now,
"(x - 450) ft" from the foot of the mound.
Thus, his angle of elevation is 40 + 18 = 58°.
So, by triangle definition,
tan(58°) = h/(x - 450)
h = (x - 450)•(tan(58°))
h = 1.6003(x - 450)
h = 1.6003x - 720.135 - - - - -(eq2)
To get the height(h) of the mound, let's equate (eq1) to (eq2).
0.8391x = 1.6003x - 720.135
1.6003x - 0.8391x = 720.135
0.7612x = 720.135
x = 720.135/0.7612
x = 946.0523 ft
Let's put this value for x in eq (1);
h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft
800,000 or eight hundred thousand.
<h3>Further explanation</h3><u>Problem:</u> The given number is 826,140.
<u>Question:</u> What is the value of the digit 8?
<u>The Process:</u>
This is a problem with place value.
Let us set the place values from 826,140 consecutively as follows.
- In the thousands period: 8 hundred thousands, 2 ten thousands, 6 one thousands.
- In the units period: 1 hundreds 4 tens 0 ones.
Let us say in word form: eight hundred twenty-six thousand six hundred forty.
Hence, the value of the 8 in the numbers 826,140 is 800,000 or eight hundred thousand.
- - - - - - -
<u>Extra:</u>
What is the value of the digit 6 in the numbers 826,140? The answer is 6,000 or six thousand.
- - - - - - -
<u>Notes:</u>
Recall that the digits in large numbers are in groups of three places, i.e.,
- hundreds,
- tens, and
- ones (or units).
The groups are called periods, i.e.,
- millions period
- thousands period
- ones or units period
Commas are typically used to separate the periods.
<h3>Learn more</h3>- Some similar problems brainly.com/question/106975 and brainly.com/question/547255
- What 3 digits are in the units period of 4,083,817 brainly.com/question/558692
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