Ask question

Ask question

All categories

3 years ago

9

a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to app

roximation pi

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

37.68

Step-by-step explanation:

C(circumference)= 2pi r

If the diameter is 12, the r adius is 6

plug into equation

2(pi)(6)

=12pi

=37.68

You might be interested in

In your computation, approximate its value as 3.14.

andrey2020 [161]

Answer: d

Step-by-step explanation:

Find the area of the rectangle.

$A=l*w\\A=(15in)(12in)\\A=180in^2$

Find the area of the base of the semicircle.

$A=\pi r^2$

12 in would be the diameter, divide by 2 to get the radius.

$\frac{12}{2}=6$

Plug this into the formula.

$A=(3.14)(6)^2\\A=113.04in^2$

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

$\frac{113.04}{2}=56.52in^2$

Add both areas.

180+56.52=236.52 $in^2$

7 0

3 years ago

What is the product?<br> (38b* )-822

sergey [27]

Answer:

$\boxed{\sf D)\:-24a^3b^7}$

Step-by-step explanation:

$\sf (3a^2b^4)(-8ab^3)$

We'll use rule of exponents to simplify expression.

$\sf 3^1a^2b^4(-8)^1a^1b^3$

Now, use the commutative property of multiplication.

$\sf 3^1(-8)^1a^2a^2b^4b^4$

In order to multiply power of the same base, we add their exponents.

$\sf 3^2(-8)^1a^{2+1}b^{4+3}$

→ Add exponents:

$\sf 3^1(-8)^1a^3b^7$

→ Multiply 3* -8

$\sf -24a^3b^7$

__________________________________________

8 0

2 years ago

A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A

Troyanec [42]

Step-by-step explanation:

Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.

the problem is to maximize profit.

let desk be x

and chairs be y

400x+250y=P (maximize)

4x+3y<2000 (constraints)

according to restrictions y=2x

let us substitute y=2x in the constraints we have

4x+3(2x)<2000

4x+6x<2000

10x<2000

x<200

so with restriction, if the desk is 200 then chairs should be at least 2 times the desk

y=2x

y=200*2

y=400

we now have to substitute x=200 and y=400 in the expression for profit maximization we have

400x+250y=P (maximize)

80000+100000=P

180000=P

P=$180,000

the profit is $180,000

5 0

3 years ago

I need step by step solution.

iren2701 [21]

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

4 0

2 years ago

Is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither<br><br> is it bounded or unbounded?

omeli [17]

Answer:

Closed and Bounded.

Step-by-step explanation:

Hi there!

1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

$f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}$

Since every quadratic root are defined for values $\geq$ 0 then, this help us to understand that we need calculate what interval this Domain is:

$4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2$

$D=[-2,2]$

2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.

Bounded functions have all of their points contained by some circle origin centered. Check it out below.

6 0

3 years ago