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3 years ago

A. What is the area of the base? Use complete sentences to explain your reasoning.

Mathematics

2 answers:

Lynna [10]3 years ago

8 0

Answer:

<u>For the first answer (A)</u>

The area of the base is the area of the 8 by 4 rectangle, minus the missing 2 by 2 square in the top-right. This is 8*4-2*2=32-4=28 square centimeters.

<u>For the second answer (B)</u>

The volume of the prism is the base area multiplied by the height, or 28*10=280 cubic centimeters.

Shtirlitz [24]3 years ago

4 0

Answer:

Area = 28 cm² and Volume = 280 cm³

Step-by-step explanation:

A. Area of the base of the prism = Area of rectangle with dimensions 4 × 8 cm. minus area of a rectangle with dimensions 2×2 cm.

Area = 4 × 8 - 2 × 2

= 32 - 4 = 28 cm²

B. Volume of the given prism = Volume of full prism with dimensions 10 × 4 × 8 cm. minus volume of small prism (missing) having dimensions 2×2×10 cm.

Volume = 10 × 4 × 8 - 2 × 2 × 10

= 320 - 40

= 280 cm³

Area = 28 cm² and Volume = 280 cm³

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Answer:

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Step-by-step explanation:

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3 years ago

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

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3 years ago