Answer:
25.6 ft
Step-by-step explanation:
Although the problem here is listed under "Pythagorean theorem" you can't solve it by the Pythagorean theorem simply because you need to know the length of two sides of the right triangle formed by the broken tree and the stump.
But you can use trigonometry.
The broken tee and trunk form a right triangle with the ground.
The stump can be represented by the height of the triangle (10 ft.) while the fallen treetop can be represented by the hyptenuse of the triangle with the ground forming the base of the triangle.
So, we have a right triangle whose height is 10 ft. having an angle opposite the height of 40 degrees.
You are asked to find the original height of the tree so you need to find the length of the fallen treetop (the "hypotenuse") and then you'll add this to the tree stump (10 ft.) to find the original height of the tree. To find the length of the "hypotenuse", you can use the sin funtion of trigonometry because in a right triangle: Sin(A) = Opposite/Hypotenuse where the angle A (40 degrees)is the angle opposite the height (10 ft).
Sin%2840%29+=+10%2Fh where h is the hypotenuse. Solving for h, we get:
h+=+10%2FSin%2840%29
h+=+10%2F0.643
h+=+15.6ft.
Now add this to the 10-ft stump:
10+15.6 = 25.6 ft.
The tree was 25.6 ft originally.
Answer:
y=-4 is the y=mx+B format
(a) The mean of the number of different species of plants in some gardens is 4.5 .
(b) The standard deviation of the number of different species of plants in some gardens is 2.12 (Approximately)
It is given in the question that the number of different species recorded are:-
1 2 3 4 4 5 5 6 7 8
We have to find the mean and standard deviation of the given data of the number of plants of different species.
(a) We know that, the formula for mean is :-
Sum of all the observations/ Total number of observations
Hence,
Mean = 
(b) Standard deviation = 
Where,
X = each value
m = mean
N = number of values
Hence,
Standard deviation = 
(approximately).
To learn more about mean, here:-
brainly.com/question/13451489
#SPJ4
Answer:
6 to the power of 2
Step-by-step explanation:
Im pretty sure when you are dividing powers you subtract them. Check that on maths watch first
Answer:
<h2>Conditional frequencies offer more specific information to analyse certain data set.</h2>
Step-by-step explanation:
A conditional frequency is a type of relative frequency which involves a condition to be defined.
For example, the conditional frequency of having a house given that the person is female. Notice that this example shows the condition "being female", so the conditional frequency would be all females who own a house.
On the other hand, the relative frequency is just a ratio between the frequency of the data and the total number of data. It's doesn't includes a condition to be defined, that's the difference.
Therefore, conditional frequencies offer more specific information to analyse certain data set.
