Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
Answer:
a=-20
Step-by-step explanation:
-4(7a+5)=-160
7a+(-20)=-160 Multiply -4 and 5
7a=-140 Subtract -20 from -160
a=-20 Divide 7 by -140
We can assume that the y-intercept for this equation is 125, because that would be how much Anna already has saved before she begins saving money from her allowance. Then, we know that Anna adds $2 to her savings each day from the problem, so we know that the slope will be positive 2 then.
Equation:
y = 2x + 125
Graph:
Attached below
Hope this helps!! :)
The attached graph represents a histogram that has a range of 55
<h3>How to create the histogram?</h3>
The range is given as:
Range = 55
The range is calculated as:
Range = Maximum - Minimum
So, we have:
Maximum - Minimum = 55
Rewrite as:
Maximum = Minimum + 55
Let the minimum be 10.
So, we have:
Maximum = 10 + 55
Evaluate
Maximum = 65
The following dataset can be used to create the histogram
Score Frequency
10 2
15 5
45 3
65 1
This is so because it has a range of 55
See attachment for the histogram
Read more about histogram at:
brainly.com/question/14421716
#SPJ1
0.0034, This should be the decimal