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Fiesta28 [93]
2 years ago
9

4(20+12) + (4-3) A. 29 B. 80 C. 128 D. 92

Mathematics
2 answers:
Cloud [144]2 years ago
7 0

Answer:

the answer is 129 so the closest would be 128 (c)

Sergeeva-Olga [200]2 years ago
5 0

Answer: The answer is 129 but i dont know why its not here

Step-by-step explanation:

20+12= 32

32 x 4 =128

4 - 3= 1

128 + 1= 129

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She has driven 12 miles.

Step-by-step explanation:

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3 years ago
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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
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Answer:

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

Step-by-step explanation:

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).

Substituting given values, we get:

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 explanation:x_{3}

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3 years ago
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