Answer:
(D)9 divided by sin 60 degrees
Step-by-step explanation:
From the given figure, using trigonometry
Substituting the given values, we get
Thus, The length of the support AB is 9 divided by sin 60 degrees.
Answer:
0.714 ; 0.556 ; (A1 n A2 n A3) = 0
Step-by-step explanation:
Given that :
P(oil) = 0.35
P(filter) = 0.45
P(oil n filter) = 0.25
1)
P(filter | Oil) = P(oil n filter) / P(oil)
P(filter | Oil) = 0.25 / 0.35 = 0.714
11)
P(Oil | filter) = P(oil n filter) / P(filter)
P(Oil | filter ) = 0.25 / 0.45 = 0.556
Number of red aces = 2
Queen or king = 4 + 4 = 8
Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16
Total number of cards in deck = 52
Choosing without replacement :
Hence,
A1 = 2 / 52
A2 = 8 / 51
A3 = 16 / 50
(A1 n A2 n A3) ;this means card common to all three events.
However, (A1 n A2 n A3) = 0 because ;
1.) No red ace card is greater than 3 and less than 8.
11.) An ace card can neither be a king nor a queen
Answer:
i don't know
Step-by-step explanation:
i am lower grade srry
Which one do you want to he answered?
Answers: height, "h", of a triangle: <span> h = 2A / (b₁ + b₂) .
___________________________________________________ </span>
Explanation:
__________________________________________________
The area of a triangle, "A", is equal to (1/2) * (b₁ + b₂) * h ;
or: A = (1/2) * (b₁ + b₂) * h
or: write as: A = [(b₁ + b₂) * h] / 2 ;
___________________________________________
in which: A = area of the triangle;
b₁ = length of one of the bases
of the triangle ("base 1");
b₂ = length of the other base
of the triangle ("base 2");
h = height of the triangle;
____________________________________________________
To find the height of the triangle, we rearrange the formula to solve for "h" (height); assuming that all the units are the same (e.g. feet, centimeters); if no "units" are given, then the assumption is that the units are all the same.
We can use the term "units" if desired, in such cases; in which the area, "A" is measured in "square units"; or "units²",
_________________________________
So, given our formula for the "Area, "A"; of a triangle:
_________________________________________________
A = [(b₁ + b₂) * h] / 2 ; we solve for "h" in terms of the other values; by isolating "h" (height) on one side of the equation.
If we knew the other values; we plug in the those other values.
______________________________________________
Given: A = [(b₁ + b₂) * h] / 2 ;
Multiply EACH side of the equation by "2" ;
_________________________________________
2*A = { [(b₁ + b₂) * h] / 2 } * 2 ;
_________________________________________
to get:
_________________________________________
2A = (b₁ + b₂) * h ;
_____________________________________________________
Now, divide EACH side of the equation by: "(b₁ + b₂)" ; to isolate "h"
on one side of the equation; and solve for "h" (height) in terms of the other values;
_____________________________________
2A / (b₁ + b₂) = [ (b₁ + b₂) * h ] / (b₁ + b₂);
______________________________________
to get:
_______________________________________________
2A / (b₁ + b₂) = h ; ↔<span> h = 2A / (b₁ + b₂) .
__________________________________________________</span>
