Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets 
and 
in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that means common elements of set N and set H.
Therefore, is set of all books that are both novels and hardcover books.
We know that is the set of elements of universal set except the elements of set H.
Therefore, is the set of all books that are not hardcover books.
The first question is B and the second one is C
Answer:
65 ft by 39 ft
Step-by-step explanation:
Let x ft be the length of each part and y ft be the width of each part. The total perimeter of all 5 parts is
The length of the large rectangle is 5y ft and the width of the large rectangle is x, so the total area is
From the first equation,
Substitute it into the area expression:
Find the derivative:
Equate it to 0:
Then
Answer:
2
Step-by-step explanation:
Given in the question,
a + b = √17
(a+b)² = 17
a² + b² +2ab = 17
a² + b² = 17 - 2ab
<h3>Area of triangle </h3>
1/2 (h)(b)
here h is perpendicular height of triangle = a
b is the base of triangle = b
<h3>Use pythagorus theorem:</h3>
hypotenuse² = base² + height²
3² = a² + b²
9 = a² + b²
9 = 17 - 2ab
9 - 17 = -2ab
-8 = -2ab
cancel minus on both sides
8 = 2ab
ab = 8/2
ab = 4
Plug ab in the formula of area
1/2 (h)(b)
1/2 (a)(b)
1/2 (4)
4/2
2
Answer:
14
Step-by-step explanation:
How many 1/2s are in 7? Then, write a multiplication equation and a division equation that answer the question.
Let the number of 1/2s = x
Hence:
Division Equation =
7 ÷ 1/2
Multiplication Equation =
= 7 × 2/1
= 14
There are 14 1/2s in 7
