Find the area of the shaded region. Round your answer to the nearest hundredth.

Mathematics

2 answers:

Nataliya [291]3 years ago

7 0

The area is 7.74 m.
first off, we know that the area of the whole square is 36 m.

the white parts are like quarters of a circle (kinda hard to explain haha) and the radius of these circles is 3 m because 6/2 = 3.

so, we have a total of 4 quarters of a circle with a radius of 3. these circles can become one big circle because there’s 4 and they create a new circle.

we find the area of the circle which is pi r squared, and get 9pi (3squared x pi) and since were looking for the shaded part, we have to subtract this from the original total which was 36. so, the area of the shaded region is 36-9pi and simplified, is 7.74.

i wrote like a whole essay lol and i’m bad at explaining but i hope you got it :)

SVETLANKA909090 [29]3 years ago

5 0

Answer:7.73m

Step-by-step explanation:

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$\text{1. } v=16t+\frac{h-c}{t},\\\text{2. }90\:\mathrm{ft/s}, \\\text{3. Cannot be determined}$

Step-by-step explanation:

1. The initial equation given to us is $h=-16t^2+vt+c$ . Rearranging the equation to isolate $v$ , we have:

$vt=16t^2+h-c,\\\boxed{v=16t+\frac{h-c}{t}}$

2. Using the equation we rearranged in part 1, we can substitute given values:

$v=16(3)+\frac{131-5}{3},\\v=48+42=\boxed{90\:\mathrm{ft/s}}$

3. We see from our equation in part 1 ( $v=16t+\frac{h-c}{t}$ ) that when $t=0$ , the denominator of our fraction will be equal to 0. Since we cannot divide by 0, the velocity remains undefined and cannot be determined.