Answer:
33 units squared is the area of the shape.
Step-by-step explanation:
We know that the the area of the orange (bookmark) shape would be 42 units squared total, since the length is 7 and width is 6 (or vice versa) Now, all we need to find is how many squares inside the rest of the small portion to fill in the shape and subtract that from 42. Adding the squares and half squares in the small portion, I got 9. 42-9 is 33 units squared
Hello!
We know that the formula for perimeter of a rectangle is:
P = 2l + 2w
We've been given enough information to solve this question!
The perimeter of the rectangle is 60 metres, and the its length is 14 meters long.
We must multiply the length by 2 and then subtract it from the perimeter to find the width.
W = P - 2l
W = 60 - 2(14)
W = 32
Therefore, the width of the rectangle is 32 metres long.
Answer:
P=0.66
Step-by-step explanation:
We know that Among 9 electrical components, exactly one is known not to function properly. If 3 components are randomly selected.
We calculate the probability that all selected components function properly.
We calculate the number of possible combinations:

We calculate the number of favorable combinations:
Therefore the probability is:

Answer:
y = 4
Step-by-step explanation:
As we move from the point (-2, 4) to the point (3, 4), x increases by 5 units, but y stays the same. We know immediately that the slope, m = rise / run, is zero, because of this.
Both points are on the horizontal line y = 4. This answer is sufficient in itself, but could be re-written as y = 0x + 4.
Answer:
-8(-7r-7)+8=-272
We move all terms to the left:
-8(-7r-7)+8-(-272)=0
We add all the numbers together, and all the variables
-8(-7r-7)+280=0
We multiply parentheses
56r+56+280=0
We add all the numbers together, and all the variables
56r+336=0
We move all terms containing r to the left, all other terms to the right
56r=-336
r=-336/56
r=-6