4 years ago

How many half miles are in 12 miles?

Mathematics

1 answer:

adoni [48]4 years ago

3 0

There are 24 half miles in 12 miles.

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A radio station has a broadcast area in the shape of a circle with equation x^2+y^2=5 625

Mars2501 [29]

Let us assume that the center of the circle is (0,0)

(x-h)² + (y-k)² = r²
x² + y² = 5,625

r² = 5,625
r = √5,625
r = 75

Area of a circle = π * r²
A = 3.14 * (75mi)²
A = 3.14 * 5,625 mi²
A = 17,662.50 mi²

8 0

3 years ago

A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each addi

castortr0y [4]

Answer:

126 trees should she plant per acre to maximize her harvest.

Step-by-step explanation:

Let x be the additional tress that must be plant after planting 100 tress.

So, total number of trees = 100 + x trees

Also, Each additional tree planted decreases the yield of each tree by 3 bushels.

So , net bushels by each tree = 35 - 3x

The revenue function becomes

f(x) = (100 + x)(35 - 3x)

Thus,

Differentiating it by using chain rule as:

f'(x) = (100 + x)35 + 100(35 - 3x)

f'(x) = 3500 + 35x + 3500 - 300x

f'(x) = 7000 - 265x

For maxima of f(x), f'(x) = 0

7000 - 265x = 0

Thus,

x = 26.4151

Since, x represents tress, so, x is 26.

So, total tress she would plant to earn maximum revenue = 100 + 26 = 126 trees

3 0

3 years ago

X - 3y = 0 and 3x + y = 7

andrezito [222]

Answer:

I think the answer is 5

Step-by-step explanation:

8 0

4 years ago

45.3 × 2.34 equal to

Lapatulllka [165]

45.3 × 2.34 = 106.002

7 0

3 years ago

Square tablecloth has a perimeter of 12 feet what is the area of the tablecloth

Marizza181 [45]

To find the area of a square, do base times height.

If it is a square then all the sides are equal. Take 12 and divide it by 4 to find out that each side is 4 feet.

Base-4
Height-4

(4)(4)=16

6 0

3 years ago