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3 years ago

At Camp Launch it costs $449 for a junior camper, $489

Mathematics

1 answer:

Alex777 [14]3 years ago

7 0

17156 is the answer! Do 449x25, 489x9 and 510x3

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The area of a circular rose garden is 44 square meters. What is the radius of the garden?

Tasya [4]

The area of a circle is:

a=πr^2 dividing both sides by π

r^2=a/π taking the square root of both sides

r=√(a/π), in this case a=44 m^2 so:

r=√(44/π) m^2

r≈14.01 m^2 (to the nearest hundredth of a square meter)

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3 years ago

1. Use precise mathematical language to justify and explain each mathematical process.

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Mathematical processes are the steps used to determine the result of operations

The perimeter of the rectangle is $10x^2 - 14x + 28$
The area of the rectangle is $5x^3 +17x^2 -31x + 45$

The dimension of the rectangle is given as:

$Length = 5x^2 - 8x + 9$

$Width = x + 5$

(1) The perimeter of the triangle

This is the sum of the side lengths of the rectangle.

So, we have:

$Perimeter = 2 \times (Length + Width)$

This gives

$Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)$

Collect like terms

$Perimeter = 2 \times (5x^2 - 7x + 14)$

Open brackets

$Perimeter = 10x^2 - 14x + 28$

Hence, the perimeter of the rectangle is $10x^2 - 14x + 28$

(2) The area of the triangle

This is the product of the dimensions of the rectangle.

So, we have:

$Area = Length \times Width$

This gives

$Area = (5x^2 - 8x + 9) \times (x + 5)$

Open brackets

$Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45$

Collect like terms

$Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45$

$Area = 5x^3 +17x^2 -31x + 45$

Hence, the area of the rectangle is $5x^3 +17x^2 -31x + 45$

Read more about areas and perimeters at:

brainly.com/question/15656646

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2 years ago

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Tcecarenko [31]

Answer:

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Explaination:

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Slope = (change in y)/(change in x)

= (60-30)/(7-1)

= 30/6

= 5

Now use one point in the line (4,45) and a general point (x,y).

Slope = (change in y)/(change in x)

5 = (y - 45)/(x - 4)

5(x - 4) = (y - 45)

5x - 20 = y - 45

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Step-by-step explanation:

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