Solve the system of equations and choose the correct answer from the list of options.
1 answer:
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Answer:
Only the isosceles trapezoid has an area of 32 cm².
Step-by-step explanation:
Let's calculate the area of each polygon.
For the two triangles we have:
This polygon does not have an area of 32 cm².
For the rectangle we have:
This polygon does not have an area of 32 cm².
For the rectangle trapezoid we have:
So, this polygon does not have an area of 32 cm².
Finally, for the isosceles trapezoid:
This polygon does have an area of 32 cm².
Therefore, only the isosceles trapezoid has an area of 32 cm².
I hope it helps you!
Answer:
D.
Step-by-step explanation:
To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.
Then, add this number to the numerator.
This number is now the numerator of the fraction. The denominator stays the same.
I hope this helps!
Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.