All categories

3 years ago

Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.

Mathematics

1 answer:

Rus_ich [418]3 years ago

8 0

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

= $\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})$

= $\frac{1}{2}(3.14)(10)^2+(40\times 20)$

= 157 + 800

= 957 square feet

You might be interested in

The area of a parallelogram is modeled by the formula, A = lw. Solve the equation for w.

erastovalidia [21]

Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering this question today, and will teach you how to handle it on your own in the future.

First, let's look at our problem.
"A = L * W, solve for W."

This is basic algebra, but I will teach you how to tackle this problem, so you can do it on your own.

So, we have the following equation:
A = L * W
To solve for W, we need to get it alone on one side of the equation. Currently, it is not alone, but rather is being multiplied by L.
To isolate W, we need to perform the opposite order of operations on both sides of the equation.

A = L * W
Divide both sides by L to isolate and solve for W.

W = $\frac{A}{L}$ is our solution.

The following equation matches the answer choice "C".

Your answer is "C."

I hope this helps!

3 0

3 years ago

What is the explicit equation for this series 25,21,17,13

Neko [114]

Answer:

The explicit rule is:

Step-by-step explanation:

The explicit rule is given by:

$a_n=a_1+d(n-1)$

The given sequence is 25,21,17,13

$a_1=25$

d=21-25

d=-4

We plug in the values into the formula to get;

$a_n=25+-4(n-1)$

$a_n=25-4n+4$

$a_n=29-4n$

6 0

3 years ago

Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 d

Tamiku [17]

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

If helpful, please mark as brainliest! =)

8 0

3 years ago

Integrate Sec (4x - 1) Tan (4x - 1) Dx

Delicious77 [7]

$\bf \displaystyle\int~sec(4x-1)tan(4x-1)dx \\\\[-0.35em] ~\dotfill\\\\ sec(4x-1)tan(4x-1)\implies \cfrac{1}{cos(4x-1)}\cdot \cfrac{sin(4x-1)}{cos(4x-1)}\implies \cfrac{sin(4x-1)}{cos^2(4x-1)} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~\cfrac{sin(4x-1)}{cos^2(4x-1)}dx \\\\[-0.35em] ~\dotfill\\\\ u=cos(4x-1)\implies \cfrac{du}{dx}=-sin(4x-1)\cdot 4\implies \cfrac{du}{-4sin(4x-1)}=dx \\\\[-0.35em] ~\dotfill$

$\bf \displaystyle\int~\cfrac{~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{u^2}\cdot \cfrac{du}{-4~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{1}{4}\int\cfrac{1}{u^2}du\implies -\cfrac{1}{4}\int u^{-2}du \\\\\\ -\cfrac{1}{4}\cdot \cfrac{u^{-2+1}}{-1}\implies \cfrac{1}{4}\cdot u^{-1}\implies \cfrac{1}{4u}\implies \cfrac{1}{4cos(4x+1)}+C$

5 0

4 years ago

WILL GIVE BRAINLIEST

TEA [102]

Yes because 3² + 4² = 5²

to be sure

9 + 16 = 25

25 = 25

3 0

3 years ago