Answer:
(a) 12π in
(b) 53.5 in
(c) 96 grams
Step-by-step explanation:
In the figure attached, the ornament is shown
(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.
Perimeter of each circle: 2*π*r
The radius is 2 in long, then for 3 circles:
Perimeter = 3*2*π*2 = 12π in
(b) Perimeter of square: 4*side length
The side length of the square is 4 in, then:
Total length of wire needed = 4*4 + 12π = 53.5 in
(c) The wire weighs 1.8 grams per inch, then:
total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams
<span>4x − 2y = 6 . . . . . (1)
2x + y = 5 . . . . . (2)
(2) x 2 => 4x + 2y = 10 . . . . . (3)
(1) - (3) gives: -4y = -4
y = -4/-4 = 1
From (2), 2x + 1 = 5 => 2x = 5 -1 = 4
x = 4/2 = 2
Solution is (2, 1)
Substituting the solution into the options gives that
</span><span>−4x − 2y = 10
−4y = 4 −4x
has the same solution.
</span>
The number 2*2*2*4*5 is not in its prime factorization because not all the factors are prime numbers. A prime number is a number that has no other factors except for 1 and itself.
4 is not a prime number, since it can be divided by 2. The number can be broken down into its prime factors by dividing by 2, and it becomes 2*2.
Therefore, the factorization of the number 2*2*2*4*5 can be broken down to 2*2*2*2*2*5.
Ok.look.the question is like that
7:2 so first of all divide 7 by 2 like that 7/2 so you get 3.5 ok than add 3.5 with 2 so the answer is 5.5