Part 1.
A is.
45 and 34 wood pieces left
B is.
It takes 11 cause 100-89=11 and 11+89=100 and it keeps subtracting 11.
C is.
I dont understand the question(sorry)
D is.
At least 9 shelves,
100-11=89
89-11=78
78-11=67
67-11=56
56-11=45
45-11=34
34-11=23
23-11=12
12-11=1
And you would have 1 wood piece remaining!!
For a rectangular prism
Volume = 24 * 72* 18 = 31104 cubic feet.
Answer:
b= 4 in.
Step-by-step explanation:
Ok. So the area of a triangle is base * height divided by 2.
So, the base is b and the height is 3b.
b*3b= 3b^2.
Now, divide that by 2.
(3b^2)/2.
Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.
(3b^2)/2 = 24
3b^2 = 48
b^2 = 16
Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.
Answer:
y=-2x+5. (4,-3)
Step-by-step explanation:
1) What's being asked in other words is to write a function. So the initial point is (1,3). In x-axis, a translation movement can only be to the right or to the left. Similarly for y-axis the possible movements are shifting up or down. The question says, 3 units right for x-cordinate and 6 units down for y cordinate. So the final point of this translation would be (1+3,3-6) =(4,-3)
2) To write a linear function we need to find out the slope:
y=-2x+5
<u>Proof:</u>
x=1
y=-2(1)+5
y=3 Then (1,3)
x=4
y=-2(4)+5
y=-8+5
y=-3 Then (4,-3)
Answer:
x < -4
Step-by-step explanation:
Step 1: Write inequality
-4x + 5 > 21
Step 2: Solve for <em>x</em>
- <u>Subtract 5 on both sides:</u> -4x > 16
- <u>Divide both sides by -4:</u> x < -4
