Answer:
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.
Step-by-step explanation:
Judging by the first sentence, there are 800 sweaters, 150 of which are red. Hence 800 - 150 = 650 sweaters are not red.
Statement (1) mentions that 320 of the sweaters at the store are neither red nor made of pure wool. This implies that of the remaining 650 non-red sweaters, 320 of them are not made of pure wool. It tells us then that there are 650 - 320 = 330 sweaters that are not red and that are not pure wool. So, it does not give information about red sweaters at all, whether pure wool or not.
Statement (2) says 100 of the red sweaters at the store are not made of pure wool. This means out of all 150 red sweaters, 100 of them are not made of pure wool. Then we have that 150 - 100 = 50 red sweaters are made of pure wool. This is the response to the question asked.
Hence, we see that statement (2) alone is enough, while statement (1) alone is not.
<h2>
The base of a rectangular prism(b) = 41 in.</h2>
Step-by-step explanation:
Given,
The height of a rectangular prism(h) = 3 in and
The perimeter of a rectangular prism = 88 in
To find, the base of a rectangular prism(b) = ?
We know that,
The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l
∴ 2b + 2(3) = 88
⇒ 2b = 88 - 6
⇒ 2b = 82
⇒ b = 41 in
Thus, the base of a rectangular prism(b) = 41 in.
Answer:
80000 square meters
Step-by-step explanation:
perimeter + dividing fence = 800
let a = length
let b = width
let c = length of dividing fence
perimeter = 2*a + 2*b
let's say...
c is the same as the length
2a + 2b + c = 800
2a + 2b + a = 800
3a + 2b = 800
area = length*width
area = a*b
area / b = a
3*(area/b) + 2b = 800
3*(area/b) = 800 - 2b
area/b = (800 - 2b)
area = (800 - 2b)*b
To make the area large, we make the right hand side large.
800b - 2b^2
If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.
y = -2x^2 + 800x
y = -x^2 + 400x
0 = x*(-x + 400)
roots are x= 0 and x = 400
vertex is at x, aka b = 200
area at b=200 is (800 - 400)*200 = 80000
and a is area/b... 80000/400 = 200
Answer:
15degrees
Step-by-step explanation:
From the given diagram
<1+<2 + <DCB = 180
<1+<2+120 = 180
<1+<2 = 180 - 120
<1+<2 = 60
<2 = 60 - <1
<2 = 60 - 45
<2 = 15degrees
Hence the measure <2 is 15degree
