Answer:
50 degrees
Step-by-step explanation:
65 times 2=130
180-130=50
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>
Since the only change is a plus 4 in side the parenthesis, the transformation is horizontal (since it is in the parenthesis). And we have to change the sign to get -4 which means the transformation is 4 units to the left.
Hope this helps
Mode: 3 as it comes up the most
Hi, I believe the answer is Donna makes 0.2 revolutions per foot of distance traveled and the slope of the graph is 1/5.
To find the number of revolutions per minute you find a point on the graph where the <em>x</em> line and the <em>y</em> line match up, such as (2, 10) then you divide the amount of revolutions in ten feet by ten to find the amount in just one foot, 0.2.
To find the slope of the graph you pick two points on it such as (2, 10) and (4, 20) and subtract the first y coordinate from the second (4 - 2) and do the same with the x coordinates (20 - 10). Then you divide the difference in the y coordinates by the difference in the x coordinates to get the 2/10, then simplify to get 1/5.
Hope this is helpful and not too drawn out :)
