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Murljashka [212]
3 years ago
11

823 rounded to the nearest ten

Mathematics
1 answer:
34kurt3 years ago
4 0
It would be 820 because any number you have to round that ends in 4,3,2, or 1 will round down. 
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What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
Sphinxa [80]

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15,000\:\mathrm{mm^3}

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The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

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V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

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Step-by-step explanat                      

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4. Identify whether each function is linear or non-linear. Then, evaluate the function for the given value of
ozzi

f(x) = x3 + 2x2 + 6  \\ f(3) = (3)3 + 2(3)2 + 6 \\  = 9 + 12 + 6 \\ f(3) = 28 \\  \\ f(x) = 1x  \\ f(8) = 1(8) \\  = 8 \\ f(8) = 8

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