Answer:
There are a total of 23 cars with air conditioning and automatic transmission but not power steering
Step-by-step explanation:
Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.
Remember that for 2 sets E and F, we have that
Also,
|E| = |E ∩F| + |E∩F^c|
We now alredy the following:
|A| = 89
|B| = 99
|C| = 74
|(A \cup B \cup C)^c| = 24
|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).
|B \ (AUC)| = 65
|C \ (AUB)| = 26
We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things
For example:
99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|
Therefore, |B∩C^c| = 99-11 = 88
And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.
This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.
Let Surface Area A, a the base edge and h the height:
A = a²+2a√(a²/4+h²)
h=?
pythagorean theorem:
h²=c²-a²
h=√(c²-a²)
h=√(8²-(.7/2)²)= 8
plug it in the above equation A= 11.7ft²
So A is correct
Answer:
Easy
Step-by-step explanation:
To find the perimeter, add all the sides together.
12+16+20=48
To find the area, you multiply the sides that make the right angle of the triangle,
12×16=192
And divide it by two. This step is important as if you don't divide it by two, you will end up with the area of a square.
192÷2=96
Finito. Oh and don't forget to add units.
Cm for perimeter and Cm(squared) for area. :)
The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)
<h3>How to factor the expression 14e - 16?</h3>
The expression is given as:
14e - 16
Express both terms as a product of 2
14e - 16 = 2 * 7e - 2 * 8
Factor out 2 in the expression
14e - 16 = 2 * (7e - 8)
Remove the product sign
14e - 16 = 2(7e - 8)
Hence, the factored expression of 14e - 16 is 2(7e - 8)
Read more about factored expressions at:
brainly.com/question/723406
Answer:
2 1/2 gallons
Step-by-step explanation:
add the flow plus the original number
