If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The width of a rectangle is 13 units less than the length.
If the area is 90 square units.
W = L – 13
Then we have
90 = L(L – 13)
L² – 13L – 90 = 0
L² – 18L + 5L – 90 = 0
L(L – 18) + 5(L – 18) = 0
(L – 18)(L + 5) = 0
L = -5, 18
Then the width will be
W = 18 – 13
W = 5 units
Then the dimension of the rectangle will be 5 units and 18 units.
More about the area of the rectangle link is given below.
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Answer:
6π
Step-by-step explanation:
The period indicates after which time the sine wave repeats.
You divide 2π by the factor in front of your function variable. This is 1/3 for your function.
So 2π/(1/3) = 6π
Answer:
-7/3
Step-by-step explanation:
When finding slope from a graph, I always look for places where the graph crosses grid intersections. One of these is the y-intercept, (0, 40).
You have to go quite some distance to find another. It looks to me like the next grid crossing is at (30, -30). At this point, you can do either of two things:
- find the ratio of grid squares
- use the slope formula
What you want to calculate is the ratio of the change in vertical height (rise) to the change in horizontal distance (run). If you use grid squares, you need to make sure the grid has the same number of units horizontally as vertically. (Here a grid square is 10 units in each direction, so we're OK on that point.)
We have observed that the line falls 7 grid squares vertically for a change of 3 grid squares to the right. So, the slope using grid squares is ...
m = rise/run = -7/3
Using the slope formula, we calculate the slope to be ...
m = (y2 -y1)/(x2 -x1)
m = (-30 -40)/(30 -0) = -70/30 = -7/3
The slope of the line is -7/3.
Answer:
120
Step-by-step explanation:
since she is trying to keep it under 40 each month and there is a flat fee of 34$ she will have 6$ left then you just have to divide so you will do 6/0.05
