The answer is 180mm^2. (B)
First, we can decompose the shape into a rectangle and a parallelogram. Let’s start with the rectangle.
Formula for a rectangle: bh
The base is 6 while the height is 12. You multiply like so. 6*12=72.
The area of the rectangle is 72.
The formula of a parallelogram is the same as the rectangle. (Bh)
To identify the base in this parallelogram, you would subtract the whole base length, 15 by half of the base length, 6.
15 - 6 = 9.
So the other half base length is 9.
You can simply transform a parallelogram into a rectangle by decomposing the parallelogram into two right triangles and a rectangle. You would take the right triangle at the bottom of the figure and move it to the top of the parallelogram in the photo. Thus, becoming a rectangle.
Now, we can identify the base and the height. The base of the parallelogram is 9 while the height is 12.
You would then multiply 9 by 12 like so to get 108.
After finding the area of the rectangle and parallelogram, you would add them up.
72 + 108 = 180mm^2
Therefore, making the answer choice B.
Answer:
x = 27/5
Step-by-step explanation:
Step 1: Write equation
-12 = -5(x - 3)
Step 2: Solve for <em>x</em>
- Distribute -5: -12 = -5x + 15
- Subtract 15 on both sides: -27 = -5x
- Divide both sides by -5: x = 27/5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-12 = -5(27/5 - 3)
-12 = -5(12/5)
-12 = -12
20 children can get a serving of popcorn
Since each serving is 1/4 of a cup, each cup can provide for 4 children. Since there are 5 total cups, multiplying 5 by 4 will give you 20.
Answer:
w = x + 50
Step-by-step explanation:
The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w
Radius is 8
diameter is 16
curcumference is 50.24
