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2 years ago

Which term best describes the statement given below?

Mathematics

2 answers:

anzhelika [568]2 years ago

8 0

Answer: B. A syllogism.

Step-by-step explanation: Given that

If a implies b, b implies c then a implies c. This is the transitive property, which is also well-known as syllogism law.

Also, if the statement is - If a, then b, then

Inverse statement is - If not a, then not b.

Converse statement - If b, then a.

Contrapositive statement - If not b, then not a.

Thus, options A, C and D are not correct.

The correct option is B. A syllogism.

Valentin [98]2 years ago

5 0

<span>(a implies b) and (b implies c) we conclude (a implies c). This is called the law of syllogism.
option b is right
hope this helps</span>

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Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of s

MrMuchimi

Answer:

The correct option is;

0.4 represents the height of each block

Step-by-step explanation:

The information given are;

Kirima first builds a firm base of a given height

Kirima is building her wall using uniformly sized bricks

the height of the wall she is building depends on the number of blocks stacked to form the wall

Therefore, variable that depends on other variable, which is the dependent variable, y, is the height of the wall

The independent, which determines the value of the dependent variable is the number of blocks added, x

The gradient of the equation is the height of each block = 0.4

The y-intercept is the starting value, which is the firm base of dimension, 0.6

Therefore, 0.4 represents the height of each block.

7 0

2 years ago

A factory produces 6 motorcycles in 9 hours. How many hours will it take to produce 16 motorcycles at this rate ?

Shtirlitz [24]

Answer:

24 hours

Step-by-step explanation:

Let m represent motorcycles and h represent hours it takes to make the motorcycles

$6m=9h$

$12m = 18h$

$9 \div6=1.5$

$1m = 1.5h$

$1.5 +1.5+1.5+1.5=$

$1.5+1.5=3.0$

$3.0+3.0=6.0$

$=6$

$18+6=24$

$=24h$

Therefore it takes "24 hours" to create 16 motorcycles.

Hope this helps.

5 0

2 years ago

Which of the following equations correctly represents the law of sines?

aev [14]

The Law of Sines may be written as
b/sin(B) = c/sin(C)

Multiply each side by sin(B).
b = (c*sin(B))/sin(C)

The correct answer is C.

Answer: C. (c*sin B)/sin C

5 0

2 years ago

Is 976 -522 more or less than 400? Explain how you can tell without actually subtracting.

liq [111]

You can round 976 to 1000 and 522 to 500. So it would be
1000 - 500 = 500. The answer you would get after subtracting 976-522 would be more than 400 if you round it.

3 0

2 years ago

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Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute

kaheart [24]

Answer:

1.5 mph

Step-by-step explanation:

Let speed of boat be x

let speed of current be c

Also, note D = RT

D is distance

R is rate

T is time

Now, for first leg, we can write:

(x+c)3 = D

And for second leg , we can write:

(x-c)4.8 = D [note 4 hour 48 minutes is 4.8 hours]

We can equate both D's to get:

(x+c)3 = (x-c)4.8

3x + 3c = 4.8x - 4.8c

7.8c = 1.8x

We know x = 6.5 [given], plugging it in and solving for c:

7.8c = 1.8(6.5)

c = 1.5

Speed of Current = 1.5 miles per hour

3 0

2 years ago

Read 2 more answers