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2 years ago

I need help with 2 and 3 Please help :)

Mathematics

1 answer:

prohojiy [21]2 years ago

8 0

The answer to 2 is 60

The answer to 3 is 36

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A rectangular field is to be enclosed by a fence and divided

Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0

2 years ago

Help me please ( on the image )

Mrac [35]

Answer:

$\frac{\pi}{3}$ radians

Step-by-step explanation:

Number of hours on a clock = 12

Since, measure of a circle at the center = 360°

Measure of central angle formed by the arc between each number (representing hours) = $\frac{360}{12}$

= 30°

Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°

= 120°

Therefore, angle measure in radians = $\frac{\pi }{360}\times (120^0)$

= $\frac{\pi }{3}$

Angle formed by the hands of the clock at 8:00 = $\frac{\pi}{3}$ radians

6 0

2 years ago

If the diameter of a circle is 12 feet, then the radius of the circle is

zhuklara [117]

The radius is 6 feet. The radius will always be half of whatever the diameter is

5 0

3 years ago

Read 2 more answers

What is the final elevation of:

Lilit [14]

Answer:

the fish has a final elevation of negative 2

Step-by-step explanation:

4 0

3 years ago

Sam the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. How fa

Liula [17]

Answer:

24.59 feet

Step-by-step explanation:

Let x represent the distance between Sam and the bird.

We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.

We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$