The Student Council is making six right triangular pennants to promote school spirit. Each right triangle is 9 inches high and 2
2 answers:
Answer:
Total area of six pennant is 16 feet²
Step-by-step explanation:
The student is making six right triangular pennants to promote school spirit.
Each right triangle is 9 inches high and 2 feet long.
we will convert the height of the triangle from inches to feet.
12 inches = 1 feet
9 inches = feet
Now we know each triangle is 1.33 feet high and 2 feet long.
Area of the triangular pennant = 1.33×2 = 2.67 feet²
Area of 6 pennant = 2.67×6 = 16 feet²
Therefore, area of six pennant will be 16 feet².
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Either would work, but substitution looks a bit easier.
The graph for these two is shown below.
I just put the equations in just as they are written. They did not have to be changed in any way. DESMOS is a wonderful program. Very powerful.
The blue line is 2x + y = - 6
The red line is y = x + 3
The best way to solve this other than a graph is to use substitution. Put the red graph into the blue one.
2x + y = - 6
2x +(x + 3) = - 6
2x + x + 3 = - 6
3x + 3 = - 6 Subtract 3 from both sides.
3x = - 6 - 3
3x = - 9
x = -9/3
x = -3
Now go back and solve for y
y = x + 3
y = -3 + 3
y = 0
Answer
The solution point is (-3,0) just what the graph shows.
