Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?

WHO IS GOOD AT MATH!!!!! Solve this problem.<br> 326-9²+32= ?

lesya [120]

The answer is 277......

6 0

3 years ago

A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing

Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

A fence must be built to enclose a rectangular area of 20,000 ft²
Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ $y=\frac{20,000}{x}$

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ $C=8x+16(\frac{20,000}{x})$

∴ $C=8x+\frac{320,000}{x}$

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ $\frac{320,000}{x}$ can be written as $320,000x^{-1}$

∴ $C=8x+320,000x^{-1}$

∵ $\frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}$

∴ $\frac{dC}{dx}=8-320,000x^{-2}$

- Equate $\frac{dC}{dx}$ by zero

∴ $8-320,000x^{-2}=0$

∵ $-320,000x^{-2}=-\frac{320,000}{x^{2}}$

∴ $8-\frac{320,000}{x^{2}}=0$

- Subtract 8 from both sides

∴ $-\frac{320,000}{x^{2}}=-8$

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √ for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ $C=8(200)+\frac{320,000}{(200)}$

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0

2 years ago

What is the answer need ASAP

ArbitrLikvidat [17]

ANSWER

C. 58°

EXPLANATION

The sum of the interior angles of a triangle is 180°.

We sum all the three angles to obtain,

$8x+(14x+2)+(10x+50)=180$ .

We group like terms to get,

$8x+14x+10x+2+50=180$ .

Simplify,

$32x+52=180$ .

Combine like terms to get,

$32x=180-52$ .

Simplify,

$32x=128$ .

Divide both sides by 32 to get,

$x=4$ .

We substitute the value of x into the expression for

$m\:$ .

This implies that,

$m\:$ .

The correct answer is C

8 0

2 years ago

I need help, with this

galina1969 [7]

I would say Tuesday, since it’s the only part that decreases on the whole graph.

8 0

2 years ago

Jaxson and his friends went into a movie theater and they want to buy some bags of popcorn and pretzels. Each bag of popcorn cos

katovenus [111]

Answer:

$22 for popcorn and $8 for pretzels together it would be $30

Step-by-step explanation:

5 0

2 years ago