Reduce the shapes using the scale factor 1/3

Mathematics

2 answers:

vlabodo [156]2 years ago

7 0

Answer:

im almost done

Nat2105 [25]2 years ago

3 0

Sorry my handwriting is bad

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At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou

jeka94

First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π $11^{2}$ $= 121$ π ≈ <span>380.13 (area of the pool)</span>
π $16^{2}$ $= 256$ π ≈ <span>804.25 (area of the whole thing)
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Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
$804.25 - 380.13 = 424.12$ (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)

6 0

4 years ago

2. Find the cosine function that is represented in the graph.

Diano4ka-milaya [45]

Answer:

$f(x) = cos(x - \frac{\pi }{4} ) -1$

Step-by-step explanation:

In this graph, we have the coordinate point ( $\frac{\pi }{4} , 0$ ). Without translations, cos(0) = 0, which means that the graph is shifted to the right by $\frac{\pi }{4}$ . We also know that the graph is shifted down by 1 because we have the point

( $\frac{5\pi }{4} , -2$ ), but accounting for the right shift, this point should really by ( $\pi , -2$ ). cos( $\pi$ ) = -1, but on the graph it is -2, meaning that it is shifted down by 1.