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svet-max [94.6K]
3 years ago
6

What numbers do I have to multiply to find the volume of the triangular prism?

Mathematics
1 answer:
son4ous [18]3 years ago
8 0
Triangular prism is a prism whose triangle as the base. The volume of a triangular prism could be determined using
\boxed{v= \text{area of base} \times \text{height of prism}}

Remember, the base is a triangle, so the formula will be
v= \text{area of triangle} \times \text{height of prism}
v =  \frac{1}{2} \times \text{base of triangle} \times \text{height of triangle} \times \text{height of prism}

plug in the numbers
v= \frac{1}{2} \times 30 \times 36 \times 61
v = 15 × 36 × 61
v = 16,740
The volume is 16,740 cm³
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4 years ago
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3 years ago
The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
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Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

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