Let me help you visualize this one.

Let's say we have 12 chickens.

OOOOOOOOOOOO

We divide this group in half (1/2 who tried to cross the road.)

OOOOOO

And here, we need to get 3/4 of the 6 left.

3/4 can be represented as 0.75 of 1.

6 times 0.75 equals to 4.5.

OOOOC (Woah, that chicken is split in half!)

What fraction is 4.5 of the original amount?

Well, that's for you to find out! Good luck in solving this question.

3 0

1 year ago

Read 2 more answers

Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20. Does Carmen's model make sense? Use the

earnstyle [38]

Answer:

Yes

Step-by-step explanation:

Her answer makes sense because 1800 ÷ 9 is 20

3 0

2 years ago

David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct s

AURORKA [14]

Answer: We can arrange the steps with help of below explanation.

Step-by-step explanation:

Here ABC is a triangle,

Draw a perpendicular from BD to side AC ( construction)

where $D\in AC$

In the right triangle BCD, from the definition of cosine:

cos C =CD/ BC

CD= a cos C

Subtracting this from the side b, we see that

DA= b-acos C

In the triangle BCD, from the definition of sine:

sin C =BD / a

BD = a sin C

In the triangle ADB, applying the Pythagorean Theorem

$c^2 =BD^2 +DA^2$

Substituting for BD and DA from (2) and (3)

$c^2 =(asinC)^2 +(b-acosC)^2$

⇒ $c^2 =a^2sin ^2C+b^2-2ab cosC+a^2 cos ^2C$ ( On simplification)

⇒ $c^2 =a^2sin ^2C+a^2 cos ^2C+b^2-2abcos C$

⇒ $c^2=a^2(sin^2C+cos^2C) +b^2-2abcosC$

⇒ $c^2 = a^2+b^2-2abcosC$ (because, $sin^2\theta+cos^2\theta =1$ )

3 0

2 years ago

Question 4 Unsaved Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play b

strojnjashka [21]

The two-way table is attached.

There are 58 people. 31 do not play baseball; this means that 58-31=27 do play baseball.

16 people play football; this means 58-16=42 people do not play football.

20 people do not play football or baseball; 42-20 = 22 people play baseball but do not play football.

27-22=5 people play baseball and football.

16-5=11 people play football but do not play baseball.

5 0

2 years ago