1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solniwko [45]
3 years ago
9

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
Solve for x help don't know how to do this
Charra [1.4K]
Both triangle are isosceles, which means their base angles are congruent.

54 + 2y = 180
2y = 126
y = 63 

The measure of the base angles of the triangle on the left is 63 degrees.

180 - 63 = 117

117 + 2x = 180
2x = 63
x = 31.5

Answer:
x = 31.5

Hope this helps.
5 0
3 years ago
4 Tan A/1-Tan^4=Tan2A + Sin2A​
Eva8 [605]

tan(2<em>A</em>) + sin(2<em>A</em>) = sin(2<em>A</em>)/cos(2<em>A</em>) + sin(2<em>A</em>)

• rewrite tan = sin/cos

… = 1/cos(2<em>A</em>) (sin(2<em>A</em>) + sin(2<em>A</em>) cos(2<em>A</em>))

• expand the functions of 2<em>A</em> using the double angle identities

… = 2/(2 cos²(<em>A</em>) - 1) (sin(<em>A</em>) cos(<em>A</em>) + sin(<em>A</em>) cos(<em>A</em>) (cos²(<em>A</em>) - sin²(<em>A</em>)))

• factor out sin(<em>A</em>) cos(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (1 + cos²(<em>A</em>) - sin²(<em>A</em>))

• simplify the last factor using the Pythagorean identity, 1 - sin²(<em>A</em>) = cos²(<em>A</em>)

… = 2 sin(<em>A</em>) cos(<em>A</em>)/(2 cos²(<em>A</em>) - 1) (2 cos²(<em>A</em>))

• rearrange terms in the product

… = 2 sin(<em>A</em>) cos(<em>A</em>) (2 cos²(<em>A</em>))/(2 cos²(<em>A</em>) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(<em>A</em>)

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - 1/cos²(<em>A</em>))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(<em>A</em>) cos(<em>A</em>) / (2 - sec²(<em>A</em>))

• divide through again by cos²(<em>A</em>)

… = (4 sin(<em>A</em>)/cos(<em>A</em>)) / (2/cos²(<em>A</em>) - sec²(<em>A</em>)/cos²(<em>A</em>))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(<em>A</em>) / (2 sec²(<em>A</em>) - sec⁴(<em>A</em>))

• factor out sec²(<em>A</em>) in the denominator

… = 4 tan(<em>A</em>) / (sec²(<em>A</em>) (2 - sec²(<em>A</em>)))

• rewrite using the Pythagorean identity, sec²(<em>A</em>) = 1 + tan²(<em>A</em>)

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (2 - (1 + tan²(<em>A</em>))))

• simplify

… = 4 tan(<em>A</em>) / ((1 + tan²(<em>A</em>)) (1 - tan²(<em>A</em>)))

• condense the denominator as the difference of squares

… = 4 tan(<em>A</em>) / (1 - tan⁴(<em>A</em>))

(Note that some of these steps are optional or can be done simultaneously)

7 0
2 years ago
William invested $800 in an account that paid 5% simple interest per year.
Blababa [14]
A) Interest = principal * rate * time

I = (800)(0.05)(3) = $120

b) $800 + $120 = $920 after the three years. $920 * (1 - 0.02) = $901.60.
3 0
2 years ago
Sketch a unit circle and label the terminal points corresponding to theta=pi/4, 3pi/4, 5pi/4, 7pi/4 Include the coordinates of e
slavikrds [6]

Answer:

Did you ever figure out the answer to this question? And if so, did you figure out how to solve it.

Step-by-step explanation:


3 0
3 years ago
Help me out please.......
GarryVolchara [31]
If the slope of the red line is one, the slope of the green line is also one. That's because parallel lines have the same slope. 
7 0
3 years ago
Read 2 more answers
Other questions:
  • George is starting his own business selling frogs and rainbow popsicles. At the end of his first day of business he checked his
    8·1 answer
  • What is the algebraic expression for <br> “Two less than the product of four and a number”
    8·2 answers
  • Will give brainlly
    7·2 answers
  • A machine can paint 24 cabinet doors in 45 minutes at this rate how many cabinet doors can it paint in 1 hour
    11·2 answers
  • Order the decimals from least to greatest 7.508,5.2161,7.5,7.58
    10·2 answers
  • What is <br> 7c — 3 &lt; — 7с — 28
    6·2 answers
  • Plz help :)))))))))))))))))))))))))
    9·1 answer
  • The Richards family bought some new camping gear that totaled $318.95 before tax. Their state tax is
    15·1 answer
  • . <br> Please help<br> Add or subtract.
    15·2 answers
  • Which term describes the distribution of this graph?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!