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RideAnS [48]
3 years ago
8

A conditional statement and it's_______ must always have the same truth value.

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
Answer: C) Contrapositive

The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table. 
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The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
Inessa05 [86]

Answer:

The approximate length of the diagonal of the rectangle = 6.4 units ⇒ B

Step-by-step explanation:

* Lets revise the properties of the rectangle

- The rectangle has 4 sides

- Each two opposite sides are parallel and equal in length

- It has for right angles

- Its two diagonals are equal in length

- The diagonal divide the rectangle into two congruent right triangles

* Now lets solve the problem

∵ The length of the rectangle = 5 units

∵ The width of the rectangle = 4 units

∵ The diagonal of the rectangle with the length and the width formed

  right triangle, the length and the width are its two legs and the

  diagonal is its hypotenuse

- To find the length of the hypotenuse use Pythagoras theorem

∵ Hypotenuse = √[(leg1)² + (leg2)²]

∴ The length of the diagonal = √[5² + 4²] = √[25 + 16] = √41

∴ The approximate length of the diagonal of the rectangle = 6.4 units

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3 years ago
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patriot [66]

Answer:

-2.64

Step-by-step explanation:

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(6,-5) is a point on the terminal side of 0. Find the exact values of cos0, csc0, and tan0.
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point (6, -5) => x = 6, y = -5

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the exact value of :

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Answer:

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What is the lateral area of the prism?
ruslelena [56]

Answer:

84 square feet as law of prism = perimeter of traingle ×length

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