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antoniya [11.8K]
2 years ago
8

Please answer this. Thank you!

Mathematics
2 answers:
Nikitich [7]2 years ago
8 0

Answer:

8: 73.2 cm

10: 738 mm

Step-by-step explanation:

8: A= 12.2 (4.5 + 7.5) / 2 --> 146.2 / 2 = 73.2 cm

10: A= 36 (22 + 19) / 2 --> 1,476 / 2 = 738 mm

denpristay [2]2 years ago
8 0

Answer:

8: 73.2

10: 738

Step-by-step explanation:

Area of a trapezoid = A=\frac{a+b}{2} h

where a and b = base lengths and h = height

For #8

These are the given dimensions

Base 1 = 4.5

Base 2 = 7.5

Height = 12.2

All we have to do is plug in the values into the formula

So....

A=\frac{4.5+7.5}{2} 12.2\\4.5+7.5=12\\\frac{12}{2} =6\\6*12.2=73.2

Hence the answer is 73.2cm²

For #10

Once again all we have to do is plug in the values into the formula

A=\frac{22+19}{2} 36\\22+19=41\\\frac{41}{2} =20.5\\20.5*36=738

Hence the answer is 738

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Find the volume of the composite figure. Round your answer to the nearest hundredth
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Answer:

The volume of the figure is 590.71 mm³

Step-by-step explanation:

To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them

To calculate the volume of a cylinder we have to use the following formula:

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we replace the unknowns with the values we know

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v = (3.14 * 10.24mm²) * 3.65mm

v = 32.1536² * 3.65mm

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To calculate the volume of a rectangular prism we have to use the following formula:

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h = height  = 3.3mm

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we replace the values that ​​we know        

v = 14.23mm * 10.08mm * 3.3mm

v = 473.347mm³

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v = 590.707

round to the neares hundredth

v = 590.707 mm³ = 590.71 mm³

The volume of the figure is 590.71 mm³

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