Equilateral triangle mean every sides and angles are equal
so the measure of angles is 60 degrees
given that has an altitude of 15 m so this mean that
sin 60 = altitude / hypotenuse
sqrt3 /2 = 15/hyp.
hyp. = 15/(sqrt3 /2)
hyp. = 30/sqrt3 = 30sqrt3 / 3 = 10sqrt3
so in this way ve got that a side length is equal 10sqrt3 and the perimeter
P = 3*10sqrt3
P = 30sqrt3 m so the 3rd choice is right,correct sure
hope helped
Answer:


Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Middle 85%.
Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925
Above the interval (8,14)
This means that when Z has a pvalue of 0.075, X = 8. So when
. So




Also, when X = 14, Z has a pvalue of 0.925, so when 




Replacing in the first equation





Standard deviation:




Answer:The experimental probability of rolling a 3 is 1/30 greater than the theoretical probability of rolling a 3.
Step-by-step explanation:i did the test and got it right
Answer:
(x+9)^2 + (y+1)^2 = 100
Step-by-step explanation:
Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.
The center is the midpoint of the two endpoints on a diameter.
Here, it is (-9, -1).
Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.
The radius: sqrt(8^2 + 6^2) = 10
So the equation is (x+9)^2 + (y+1)^2 = 100
The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The geometry is the combination of the semicircle and right triangle.
Then the area of the geometry will be
Area = 1/2 x 6 x 8 + π/8 x 8²
Area = 4 x 6 + 3.14 x 8
Area = 24 + 25.12
Area = 49.12 square feet
More about the geometry link is given below.
brainly.com/question/7558603
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