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4vir4ik [10]
3 years ago
8

ir the volumen of a triangular prisma is 126feet clubes and the area of the base is 63feet. what is the night of the prism?

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0
To find the height of the triangular prism, you will use he formula for finding the volume of a prism and solve for the missing height.

V = Bh, where B is the area of the base.

<u>126</u> = <u>63h</u>
63      63
h = 2 feet

The height of the triangular prism is 2 feet.
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slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Horizontal distance from the start line, measured in meters.

y - Height of the long jumper, measured in meters.

a, b, c - Polynomial constants, measured in \frac{1}{m}, dimensionless and meters, respectively.

If we know that (x_{1},y_{1}) = (3\,m, 0\,m), (x_{2},y_{2}) = (8\,m, 0.05\,m) and (x_{3}, y_{3}) = (9\,m, 0\,m), this system of linear equations is presented below:

9\cdot a + 3\cdot b + c = 0 (Eq. 1)

81\cdot a + 9\cdot b + c = 0 (Eq. 2)

64\cdot a + 8\cdot b + c = 0.05 (Eq. 3)

The coefficients of the polynomial are, respectively:

a = -\frac{1}{100}, b = \frac{3}{25}, c = -\frac{27}{100}

The equation of the parabola that models the path of the long jumper through the air is y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}.

But we need y measured in centimeters, then, we use the following conversion:

y = 100\cdot y'

Then, we get that:

y = -x^{2}+12\cdot x -27

Where x and y are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

4 0
3 years ago
The Malden family rented a car for $25.00 per day ,plus .25 cents per mile write an expression that represents the total cost of
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total cost = .25m + 25d

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4 0
2 years ago
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Answer:

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6 0
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Answer:

In explanation

Step-by-step explanation:

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7 0
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Since it goes by thousandths (0.001), we can say the values are 2.089 and 2.095.
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3 years ago
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