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melisa1 [442]
2 years ago
10

Write the contrapositive of the conditional statement. Determine whether the contrapositive is true or false. If it is false, fi

nd a counterexample.
A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True
B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.
C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.
D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True
Mathematics
2 answers:
Vikentia [17]2 years ago
3 0

Answer:

D is the contrapositive.

Step-by-step explanation:

Contrapositive of if A then B is if not B then not A

natita [175]2 years ago
3 0

Answer:

Option D is correct here.

Step-by-step explanation:

A conditional statement is in the form of if p then q.

A contrapositive statement is when we interchange the hypothesis and conclusion of the sentence and negate both of them. It is in the form of - if not q then not p.

Given statement here is - A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

This is a true statement. It is the definition of converse statement.

Its contrapositive will be : A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement.

So, here option D is the contrapositive that is also true.

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Answer:

r≈5.36656314

Step-by-step explanation:

Since A=πr(r+\sqrt{h^2+r^2}) so we get that 226.08/pi≈72 or 226.08/3.14=72 we then plug it in to get 72=r(r+\sqrt{36+r^2}) so we get r≈5.36656314

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A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
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The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

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P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

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The answer is b.


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3 years ago
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect
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Given statement is "point where the perpendicular bisectors of the three sides of a triangle intersect".

Perpendicular is basically a vertical line that makes 90 degree angle with the base.

bisector means the line which divides side into two equal parts.

So perpendicular bisector in any triangle will be the line which is drawn on the side of the triangle and perpendicular to that side.

Now these perpendicular bisectors meet at some point.

That point is called circumcenter.


Hence final answer will be "circumcenter".


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