The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²
<h3>Calculation of the equilateral triangle</h3>
After folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.
An equilateral triangle is a type of triangle where by all the three sides are equal.
To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.
Using the formula for the area of an equilateral triangle,
A = √¾ a²
a= 12 inches
A = √¾ ×12²
A = 62.35 inches ²
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Step-by-step explanation:
- 6x-2=8x+11
- 6x-8x=11+2
- -2x=13
- x=13/-2
- x=-6.5
Answer:
52.5% probability that A occurs given B occurs
Step-by-step explanation:
Suppose we have two events, A and B, the conditional probability formula is:

In which
P(A|B) is the probability of A happening given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
In this problem, we have that:

So

52.5% probability that A occurs given B occurs
Answer:
(y+8) (y-3)
Step-by-step explanation:
y2+5y-24
=y2+8y-3y-24
=y(y+8)-3(y+8)
=(y+8) (y-3)
Answer:
4x+12
Step-by-step explanation: