Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate Pi.

Mathematics

1 answer:

taurus [48]1 year ago

6 0

Answer:

$26.13ft^2$

Step-by-step explanation:

Step 1 - As both triangles have lengths the same size, they both add together to equal a rectangle. Therefore:

4 x 3 = 12

Which is the area of the triangles.

Step 2 - Calculating the area of a circle uses the formula:

$\pi r^2$

Where r is the radius of the circle.

Plug the known variables in:

$\pi \cdot 3^2\\\pi \cdot 9\\3.14 \cdot 9 = 28.26\\$

However, this is the area of a full circle. The figure is only half a circle so we must divide this by two:

28.26 ÷ 2 = 14.13

Now, add the area of the semi-circle to the area of the triangles:

14.13 + 12 = 26.13

Therefore, the area of the figure is $26.13ft^2$ .

Hope this helps!

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The revenue of a company that makes backpacks is given by the formula R = 34.S0x, where x represents the number of backpacks sol

alexgriva [62]

Answer:

Revenue = 1380

Step-by-step explanation:

Given:

Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.

Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.

The revenue received from selling 'x' backpacks is given as:

$R=34.50x$

Number of backpacks sold (x) = 40

Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.

On plugging 40 for 'x', we get:

$R=34.50\times 40\\\\R=1380$