A motorcycle travels 62 miles in two

Inga [223]

To determine the value of c, we can use cross multiplication of the given ratios composing the proportion. 13 times 3 is equal to 39. Then, divide the obtained answer by 6 giving us the final answer which is equal to 6.5. Hence, the answer to this item is 6.5

4 0

4 years ago

Find the surface area of the composite figure.

Sloan [31]

With the help of the area formulae of rectangles and triangles and the concept of surface area, the surface area of the composite figure is equal to 276 square centimeters.

<h3>What is the surface area of a truncated prism?</h3>

The surface area of the truncated prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and right triangles. Then, we proceed to determine the surface area:

A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)

A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²

A = 276 cm²

With the help of the area formulae of rectangles and triangles and the concept of surface area, the surface area of the composite figure is equal to 276 square centimeters.

To learn more on surface areas: brainly.com/question/2835293

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7 0

1 year ago

Patrick has assets that total $9,500. his liabilities total $1,900. which expression will find patrick’s net worth? 9,500 dollar

Aleksandr-060686 [28]

An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.

Thus, Patrick's net worth of Patrick can be written as,

$\rm Net\ worth = Assets-Liabilities$