So, the triangle is equilateral, all its sides are equal⇒
AB=BC=AC=8
In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒
AO=OC=8:2=4
by the Pythagorean theorem

Answer: BO=4√3
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P.S. Hello from Russia :^)
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Answer:
904.778 in.
Step-by-step explanation:
Formula for volume of sphere:
4/3×(3.1426)×(radius)^3
=904.778 inches
Answer:
y = 2/5x
Step-by-step explanation:
Perpendicular lines are lines which have negative reciprocal slopes of each other.
The line y = -5/2 x + 2 has slope -5/2. Therefore its perpendicular slope will be 2/5.
The equation can cross anywhere on the y-axis for its y-intercept since no specific point is given. Here I chose (0,0).
y = 2/5x
Answer:
p(on schedule) ≈ 0.7755
Step-by-step explanation:
A suitable probability calculator can show you this answer.
_____
The z-values corresponding to the build time limits are ...
z = (37.5 -45)/6.75 ≈ -1.1111
z = (54 -45)/6.75 ≈ 1.3333
You can look these up in a suitable CDF table and find the difference between the values you find. That will be about ...
0.90879 -0.13326 = 0.77553
The probability assembly will stay on schedule is about 78%.