Bruh I’m so confused on how to do this

Mathematics

1 answer:

Dmitrij [34]2 years ago

3 0

Rotation doesn't matter for this question... The dilation is key... you made each side of the triangle 4 times bigger

<h3>Answer:</h3>

A. False:

$Area= \frac12 \times base \times height$ .... if the base is 4 times bigger and the height is 4 times bigger .... the area will be 16 times bigger

B. True .... you just add all sides, each is 4 times bigger

C. False ... by definition of dilation, the sides grew

D. True... Size changed, but the shape stayed the same (so, did the angles)

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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 ≈ 380.13 (area of the pool)
π $16^{2}$ $= 256$ π ≈ 804.25 (area of the whole thing)

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 :)