Answer:
Step-by-step explanation:
The length of the midsegment is half of the base in this case.
12x = 8x + 40
4x=40
x=10
So it's 60
Answer:
21°
Step-by-step explanation:
A line is 180 degrees.
Subtract 159 from 180 and you get the answer.
All real numbers would be the domain here
Answer:
Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.
Step-by-step explanation:
Given:
First 4 test scores = 87%, 92%, 76%,89%
Average targeted = 80%
We need to find the minimum score she needs to make on fifth test to achieve average of at least 80%.
Solution:
Let the minimum score she needs to make in fifth test be 'x'.
Total number of test = 5
Now we know that;
Average is equal to sum of all the scores in the test divided by number of test.
framing in equation form we get;
![\frac{87+92+76+89+x}{5}=80](https://tex.z-dn.net/?f=%5Cfrac%7B87%2B92%2B76%2B89%2Bx%7D%7B5%7D%3D80)
Multiplying both side by 5 we get;
![\frac{344+x}{5}\times 5=80\times 5\\\\344+x=400](https://tex.z-dn.net/?f=%5Cfrac%7B344%2Bx%7D%7B5%7D%5Ctimes%205%3D80%5Ctimes%205%5C%5C%5C%5C344%2Bx%3D400)
Subtracting both side by 344 we get;
![344+x-344=400-344\\\\x=56\%](https://tex.z-dn.net/?f=344%2Bx-344%3D400-344%5C%5C%5C%5Cx%3D56%5C%25)
Hence Sandra need to score at least <u>56%</u> in her fifth test so that her average is 80%.
Well lets have x be the side perpendicular to the barn. You will have two sides of length "x". Which means the side parallel to the barn has the length of (200 -2x)
So we know the area of the pasture is length * width or x * (200 - 2x)
This means we are seeking to maximize x * (200 - 2x).
This is actually a parabola with zeroes that are at x = 0 and x = 100 which means the vertex is at x = 50.
So when x = 50 > (200 - 2x) = 100
So that means the maximum area of the pasture is 50 * 100 = 5000 square feet.