Answer:
Step-by-step explanation:
If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.
We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,
and
and on your calculator in degree mode, you will find that
x = 16.08 m
Median and IQR are the most appropriate measures of center and spread for this data set.
<h3>Why are
Median and IQR the most appropriate?</h3>
Among the 3 central tendencies that includes the mean, median and mode; the median is the better measure because of the followings:
- Mean is affected by extreme values
- Mean is not correct if more outliers are present
- Mean may not represent the nature of the data whether skewed right or left.
Also, the median as the middle entry is not affected by extreme items or outliers, so the median is better than mean,
Furthermore, for the measure of spread, the IQR is better since extreme items will show higher std deviation and also some outliers mislead.
Therefore, Option B is correct.
Read more about measures of center
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I didn't get it can you post a picture with it too?
Answer:
y=-3/16(x-8)^2+12
Step-by-step explanation:
Refer to the vertex form equation for a parabola:
y=a(x-h)^2+k where (h,k) is the vertex.
Therefore, we have y=a(x-8)^2+12 as our equation so far. If we plug in (16,0) we can find a:
0=a(16-8)^2+12
0=64a+12
-12=64a
-12/64=a
-3/16=a
Therefore, your final equation is y=-3/16(x-8)^2+12
Answer:
x⋅(2x+1)⋅(2x+3)⋅(3x−2)
Step-by-step explanation:
Equation at the end of step 1
(((12•(x4))+(16•(x3)))-7x2)-6x
STEP
2
:
Equation at the end of step
2
:
(((12 • (x4)) + 24x3) - 7x2) - 6x
STEP
3
:
Equation at the end of step
3
:
(((22•3x4) + 24x3) - 7x2) - 6x
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
12x4 + 16x3 - 7x2 - 6x =
x • (12x3 + 16x2 - 7x - 6)
Checking for a perfect cube :
5.2 12x3 + 16x2 - 7x - 6 is not a perfect cube
