Identify the converse of the statement R → S: "If it rains, then he will stay home."

Mathematics

1 answer:

Tasya [4]3 years ago

6 0

Answer:

The correct option C:

C) S → R: If he stays home, then it will rain.

Step-by-step explanation:

There are three main transformation for an if-then statements. These three are names are converse, inverse and contrapositive.

If the statement is given:

R → S: "If it rains, then he will stay home."

Then its Converse will be:

S → R: If he stays home, then it will rain.

Its Inverse will be:

∼R → ∼S: If it doesn't rain, then he won't stay home.

Its Contrapositive will be the inverse of the converse.

You might be interested in

What is the formula for calculating the area of a circle.

Tom [10]

Answer:

$A=\pi\times r^2$

Step-by-step explanation:

In order to find the area of a circle we multiply π by the radius, and to find the radius of a circle we have to look at the line that stops directly in the middle of the circle.

$\pi\times r$

Once we then have the radius, we simply multiply the radius, (with an exponent of 2) by π and then we will have our answer. Of course, round if needed.

$A=\pi\times r^2$

Hope this helps.

6 0

2 years ago

Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding a

Sedbober [7]

Answer:

The number of combinations will she have to analyze is 10.

Step-by-step explanation:

We know that Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. We calculate the number of combinations will she have to analyze.

$C^5_3=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=10$