Answer:
18 in
Step-by-step explanation:
First you would multiply 2·5=10 then for the area of the bottom shape you already have 4 for one side to get the other side you subtract 7-5 and get 2 so 4·2=8 so then add the areas of both shapes and get 18
Answer:
A.
Step-by-step explanation:
I think it makes the most sense sorry if i got it wrong
You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
First, find the slope of the line. Use the two points given, (-4,0) and (4,2), in the slope formula rise over run. The change in rise is 2 and the change in run is 8, meaning that the slope is 2/8, simplified to 1/4. The y-intercept is 1, shown by the graph and the dashed line and shaded area means that the inequality symbol must be <. Slope-intercept form is shown as y = mx + b, so after putting our information in to the equation the answer is y < 1/4x + 1. Hope this helps!
Answer:
The crop yield increased by 9 pounds per acre from year 1 to year 10.
Step-by-step explanation:
To solve this we are using the average rate of change formula:
, where:
is the second point in the function
is the first point in the function
is the function evaluated at the second point
is the function evaluated at the first point
We know that the first point is 1 year and the second point is 10 years, so
and
. Replacing values:
![Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-%2810%29%5E2%2B20%2810%29%2B50-%5B-%281%29%5E2%2B20%281%29%2B50%5D%7D%7B10-1%7D)
![Av=\frac{-100+200+50-[-1+20+50]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B-100%2B200%2B50-%5B-1%2B20%2B50%5D%7D%7B9%7D)
![Av=\frac{150-[69]}{9}](https://tex.z-dn.net/?f=Av%3D%5Cfrac%7B150-%5B69%5D%7D%7B9%7D)



Since
represents the number of pounds per acre and
the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.