Answer:
Hypotenuse = 85 cm
Hypotenuse = 89 cm
Hypotenuse = 103.08 cm (Approx.)
Hypotenuse = 54.71 cm (Approx.)
Step-by-step explanation:
Shape 1
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √36² + 77²
Hypotenuse = √1,296 + 5,929
Hypotenuse = √7,225
Hypotenuse = 85 cm
Shape 2
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √39² + 80²
Hypotenuse = √1,521 + 6,400
Hypotenuse = √7,921
Hypotenuse = 89 cm
Shape 3
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √25² + 100²
Hypotenuse = √625 + 10,000
Hypotenuse = √10,625
Hypotenuse = 103.08 cm (Approx.)
Shape 4
Hypotenuse = √Perpendicular² + Base²
Hypotenuse = √17² + 52²
Hypotenuse = √289 + 2,704
Hypotenuse = √2,993
Hypotenuse = 54.71 cm (Approx.)
<span>We'll make $10 x and the $20 y.
x + y = 7,200
10x + 20y = 113000
10x + 10y = 72000
10x + 20y = 113000
10y = 41,000
y = 4,100
Substitute y = 4,100
x + y = 7,200
x + 4,100 = 7,200
x = 7,200 - 4,100
x = 3,100
3,100 x $10 tickets
4,100 x $20 tickets</span>
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Step-by-step explanation:
square of x is x2
Inverse of square of x is 1 / x2
So the equation would be:
y = k / x2
where k is a proportionality constant.
To find the value of k, plug in the known values for x and y: x=3, y=45
45 = k / 32 = k / 9
k=405
Now you have the full equation with proportionality factor.
y = 405 / x2
then, for x=5:
y = 405 / 52 = 405 / 25
y = 16.2
Answer:
B). As x increases by 1, y increases by 5.
Step-by-step explanation:
When x = 1, y = 5
when x = 2, y = 10
when x = 3, y = 15.
So it is B
As x increases by 1, y increases by 5.