9514 1404 393
Answer:
(b) One figure is a rotation image of the other
Step-by-step explanation:
The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.
Since the three angles of a triangle add to give 180°
The the size of the largest angle 4 = 180° ×
= 180° ×
∴ the size of the largest angle = 80°
If a plot of land in the shape of a horizontal ellipse has a pole at each focus. the foci are 16 feet from the center. if the plot of land is 40 feet across one axis, how long is it across the other axis is: c. 24 feet.
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Length across the other axis</h3>
Using Pythagoreans theorem formula
a²=b²+c²
Where:
c=16 feet
a=40/2=20 feet
Hence:
20²=b²+16²
b²=20²-16²
b²=400-256
b²=√144
b=12
2b=12×2
2b=24 feet
Therefore if the plot of land is 40 feet across one axis, how long is it across the other axis is: c. 24 feet.
The complete question is are:
A plot of land in the shape of a horizontal ellipse has a pole at each focus. The foci are 16 feet from the center. If the plot of land is 40 feet across one axis, how long is it across the other axis?
a. 34 feet
b. 46 feet
c. 24 feet
d. 30 feet
Learn more about Length across the other axis here:
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Answer:
8 and 14
Step-by-step explanation:
let the 2 numbers be x and y with x > y
We can model the situation using the following 2 equations
x + y = 22 → (1)
3x - y = 34 → (2)
adding the equations term by term will eliminate the term in y
(x + 3x) + (y - y) = (22 + 34)
4x = 56 ( divide both sides by 4 )
x = 14
substitute x = 14 into (1)
14 + y = 22 ⇒ y = 22 - 14 = 8
