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Pani-rosa [81]
2 years ago
10

In these pictures, you have to find the area

Mathematics
1 answer:
Leto [7]2 years ago
8 0
Is it the area of the whole figure or the shaded part
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A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic
babymother [125]

Answer: f(x) = -0.016x² + 1.6x

Step-by-step explanation:

If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.

So, we have

(0,0) (50,40) (100,0)

A quadratic function is always on the form: f(x) = ax² + bx + c

0 = a0² + b0 + c

40 = a50² + b50 + c

0 = a100² + b100 + c

0 = a0² + b0 + c → c = 0 ∴

40 = a50² + b50

0 = a100² + b100

_________________________

2500a + 50b = 40 (*2)

10000a + 100b = 0

_________________________

5000a + 100b = 80

10000a + 100b = 0 (-)

__________________________

-5000a = 80

-a=80/5000

a=-0.016

∴

2500a + 50b = 40

2500.(-0.016) + 50b = 40

-40 + 50b = 40

50b = 80

b = 80/50

b = 1.6

This way f(x) = -0.016x² + 1.6x

6 0
3 years ago
Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator 16 cm to 20 cm
emmainna [20.7K]

Answer:

4/5

Step-by-step explanation:

16/20 in a simpler form is 8/10. 8/10 in the simplest form is 4/5 (division)

8 0
2 years ago
Read 2 more answers
I have a diameter of 6in how do i get my circumference step by step?
avanturin [10]
Equation: C=dπ
               C=6·3.14
               C=18.84
           answer^^^

6 0
3 years ago
A negative correlation between two variables x and y usually yields a negative p-value for r.
Harman [31]
A. True if im wrong sorry hope this helped tho :p
6 0
3 years ago
How do you write 0.9 as a percentage?
mamaluj [8]
0.9 as a percentage would be 0.9% it doesn't really change
7 0
3 years ago
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