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GuDViN [60]
3 years ago
15

What is the value of B for the following triangular prism?

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Step-by-step explanation:

\frac{1}{2} (10)(12) \\  \frac{1}{2} (120) \\ 60 {cm}^{2}

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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
Help please! Brainliest and points!
nika2105 [10]

i think it's b. model of car


3 0
3 years ago
Read 2 more answers
What is 27.773 to its nearest tenth
Olenka [21]

Check the hundredth position after the decimal point.

This = 7  so we add 1 to the tenth position  so 7 becomes 7+1 = 8

Answer is  27.8  to nearest tenth

7 0
3 years ago
Which of the following fractions is equivalent to 4/20? 1/10<br> 3/15 <br> 3/19<br> 2/12
just olya [345]

Answer:

your answer is 3/15

Step-by-step explanation:

if im wrong pls let me know

5 0
3 years ago
Angle D=(7b+1) angle E=(2b+1) and angle F=(b+8) what is the measure of angle E
Mademuasel [1]

angleD=(7b+1)angle E=(2b+1)and angle F=(b+8)

3 0
3 years ago
Read 2 more answers
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