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vazorg [7]
3 years ago
5

A. David notices that the shape of the Ligersville toxic dumpsite is somewhat like a triangle. He claims that he can approximate

the perimeter of the dumpsite without doing any extra measurements. What assumption about side AB of the dumpsite would David need to make in order to justify his claim?
B. Based on the assumption in part A, determine the approximate length of side AB of the dumpsite. Explain your reasoning in at least two sentences.

C. Determine the approximate perimeter of the Ligersville toxic dumpsite. Explain your reasoning.

Mathematics
2 answers:
ziro4ka [17]3 years ago
6 0

Answer:

A. Side AB is approximately straight and forms the hypotenuse side of the right triangle

B. 40 yards

C. 96 yards

Step-by-step explanation:

A. The assumption about the curved side AB that David would need to make in order to justify his claim is that the side AB is straight and is the hypotenuse side of the right triangle.

B.  The length of AB is thus;

√(24² + 32²) = 40 yard

C. The approximate perimeter is therefore;

24 + 32 + 40 = 96 yards

allochka39001 [22]3 years ago
4 0

Answer:

A) AB is approximately straight line

B) 40 yards

C) 96 years

Step-by-step explanation:

A) For the toxic dump site to be traingular, AB must be a straight line to form hypotneuse of the traingle and that the traingle is right angle triangle

B) assuming a right angle triangle, using pythagoras theorem

H²=P²+B²

H²= 24²+ 32²

H= 40 yards

C) Parameter= 24+32+40=96 yards

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y2-y1 / x2-x1

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The median is a halfway point in the set of data.

List the numbers in order from smallest to largest:

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Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:

Median = ( 149 + 152 ) /2

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nadya68 [22]

Answer:

A) it converges

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8 0
2 years ago
An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of protein, 27 lb of fat, and 14 lb of minera
atroni [7]

Answer:

The animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

Cost = 51.275

Step-by-step explanation:

The given parameters can be summarized as:

\begin{array}{cccc}{} & {x} & {y} & {Total} & {Protein} & {70} & {21} & {168} &{Fats}& {9} & {7} & {27} & {Minerals} & {7} & {1} & {14}& {Cost} & {21} & {7} & {} \ \end{array}

Where: x = Soybeans and y = Oats.

So, the system of equations are:

70x + 21y = 168

9x +7y = 27

7x + y = 14

Cost = 21x + 7y

The best way to solve this, is using graph

Plot the following equations on a graph, and get the points of intersection:

70x + 21y = 168

9x +7y = 27

7x + y = 14

From the attached graph, we have:

(x_1,y_1) = (1.636,2.545)

(x_2,y_2) = (1.775,1.575)

(x_3,y_3) = (2.023,1.256)

Substitute each of the values of x's and y's in the cost function to get the minimum cost:

Cost = 21x + 7y

(x_1,y_1) = (1.636,2.545)

Cost = 21 * 1.636 + 7 * 2.545

Cost = 52.171

(x_2,y_2) = (1.775,1.575)

Cost = 21 * 1.775 + 7 * 1.575

Cost = 48.3

(x_3,y_3) = (2.023,1.256)

Cost = 21 * 2.023 + 7 * 1.256

Cost = 51.275

The values of x and y that gives the minimum cost is:

(x_2,y_2) = (1.775,1.575)

and the minimum cost is:

Cost = 48.3

Hence, the animal farm should buy 1.775 bags of soybeans and 1.575 bags of oats

5 0
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