What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180

The area of a triangle with sides 11.1 inches, 7 inches and 84 degree angle between the given sides is 38.6 in²

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of the triangle is given as:

Area of triangle = (ab * sin∝)/2

where a,b are the sides and ∝ is the angle between the sides, hence:

Area of triangle = (11.1 * 7 * sin84)/2 = 38.6 in²

The area of a triangle with sides 11.1 inches, 7 inches and 84 degree angle between the given sides is 38.6 in²

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Answer:

38.6

Step-by-step explanation:

Answer:

CED is a right angle, CEB=AEB

hopw that helps

Answer:

1st, 2nd, 5th

Step-by-step explanation:

Answer:

The correct answer is $800.

Step-by-step explanation:

Let the length and width of the field be equal to l meters and b meters respectively and l > b.

Area of the field is given by l × b = 400 square meters.

The river is supposed to be along the longest side so that the price of fencing the other three sides is minimum. Thus the total perimeter of the fence is b+ b+ l = 2b+l.

Total cost for fencing the other sides of the field = $ 10 × (2b + l)

The wall is supposed to be perpendicular to the river and thus the length of the wall is b meters.

Total cost for the wall is $ 20 × b

Therefore, the total price for making the field is given by

C = 10 × (2b + l) + 20 × b

⇒ C = 40b + 10l

⇒ C = + 10l

To minimize the cost we differentiate the cost with respect to l and equate it to zero.

= 0 = - + 10

⇒ = 1600

⇒ l = 40 ; [ negative sign neglected as length cannot be negative ]

⇒ b = 10

The second order derivative of C is positive giving the minimum value of the cost.

Thus the minimum cost required to make the field is given by $800.

Final answer:

To find the lowest possible cost to build the field, we need to determine the dimensions that will yield the minimum perimeter and then calculate the total cost of building the field. By differentiating the cost equation and solving for x, we can find the dimensions that minimize the cost.

Explanation:

To find the lowest possible cost to build the field, we need to determine the dimensions that will yield the minimum perimeter. Since the area of the field is 400 square meters and it will be divided into two equal halves by a brick wall, each half will have an area of 200 square meters. Let's say the length of the field is x meters. Then the width of each half will be 200/x meters.

The perimeter of the field is the sum of the lengths of the three sides:

Perimeter = 2x + 200/x + 200/x

Now, we can define the total cost to build the field as:

Total Cost = Cost of wall + Cost of fence

Cost of wall = 2x * $20 (since there are two halves)

Cost of fence = (2x + 200/x + 200/x) * $10 (since there is a fence on three sides)

Therefore, the total cost is: Total Cost = 2x * $20 + (2x + 200/x + 200/x) * $10.

To minimize the cost, we can differentiate the total cost with respect to x and set it equal to zero:

d(Total Cost)/dx = 0

Simplifying this equation will give us the value of x that minimizes the cost. We can solve this equation to find the minimum cost to build the field.

Learn more about field here:

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Answer: plant → grasshopper → spider → frog → lizard → fox → hawk.

This is just one food chain that shows the sider and the lizard in the same foodchain. The frog eats the spider, and the lizard eats the frog.

Step-by-step explanation: