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3 years ago

8. Which fraction is equivalent to 3? * O 3/2 O 6/2 O 6/3 O 912

Mathematics

2 answers:

Elodia [21]3 years ago

7 0

Answer:

6/2

Step-by-step explanation:

6 divided by 2 =3

Mama L [17]3 years ago

3 0

Answer:

I will be 6/3

Step-by-step explanation:

If you divide the 6/3 it will be 3/1

Make sure to divide it by 3

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The endpoints of the side of a square lie on the circle and the opposite side of the square tangent to the circle at its midpoin

alexandr402 [8]

Answer:

$\displaystyle \frac{L}{r}=\frac{8}{5}$

Step-by-step explanation:

Circle and Square

We have a geometric construction as shown in the image below. We can see that

$\displaystyle r+h=L$

Or, equivalently

$\displaystyle h=L-r$

The triangle formed by r,h and L/2 is right, because the opposite side of the square is tangent to the circle at its midpoint. This means we can use Pythagoras's theorem:

$\displaystyle r^2=h^2+\left(\frac{L}{2}\right)^2$

Replacing h

$\displaystyle r^2=(L-r)^2+\left(\frac{L}{2}\right)^2$

Expanding squares

$\displaystyle r^2=L^2-2Lr+r^2+\frac{L^2}{4}$

Simplifying

$\displaystyle 2Lr=L^2+\frac{L^2}{4}$

Multiplying by 4

$\displaystyle 8r=4L+L$

Joining terms

$\displaystyle 8r=5L$

Solving for the ratio L/R as required

$\displaystyle \frac{L}{r}=\frac{8}{5}$

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3 years ago

A set of scales is used to show that two lemons and seven tomatoes are required

Darya [45]

Answer:

8 tomatoes are required to balance 1 cabbage

Step-by-step explanation:

Given :

Two lemons and seven tomatoes are required to balance one cabbage:

2 Lemons + 7 tomatoes = 1 cabbage (equation 1)

two lemons balance one tomato

2 lemons = 1 tomato

put in equation 1:

1 tomato + 7 tomatoes = 1 cabbage

8 tomatoes = 1 cabbage

8 tomatoes required to balance one cabbage

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