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3 years ago

There are 3ft in 1 yard. This is equivalent to 12ft in 4yrds.Which proportion can be used to represent this?

Mathematics

1 answer:

harina [27]3 years ago

5 0

You could use the proportion 3:1.

Per 3 feet, there is 1 yard.

For every 3 feet, there is an additional yard.

The ratio is 3 to 1, or 3:1

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9. Plot the points A (-2,3), B(2,-3), C(2,3) ,D(-2,3) join the points and find the distance between each point.

pav-90 [236]

Answer:

AB=7.21 unit

BC=6 unit

CD=7.21 unit

AD= 6 unit

AC=4 unit

BD=4 unit

Step-by-step explanation:

Coordinates of A =(-2,3)

Coordinates of B = (2,-3)

Coordinates of C = (2,3)

Coordinates of D =(-2,-3)

Distance formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$A=(x_1,y_1)=(-2,3)\\B=(x_2,y_2)=(2,-3)\\AB = \sqrt{(2+2)^2+(-3-3)^2}$

AB=7.21 unit

$B=(x_1,y_1)=(2,-3)\\C=(x_2,y_2)=(2,3)\\BC=\sqrt{(2-2)^2+(3+3)^2}$

BC=6

$C=(x_1,y_1)=(2,3)\\D=(x_2,y_2)=(-2,-3)\\CD=\sqrt{(-2-2)^2+(-3-3)^2}$

CD=7.21

$A=(x_1,y_1)=(-2,3)\\D=(x_2,y_2)=(-2,-3)\\AD=\sqrt{(-2+2)^2+(-3-3)^2}$

AD=6

$A=(x_1,y_1)=(-2,3)\\C=(x_2,y_2)=(2,3)$

$AC=\sqrt{(2+2)^2+(3-3)^2}$

AC=4

$B=(x_1,y_1)=(2,-3)\\D=(x_2,y_2)=(-2,-3)$

BD= $\sqrt{(-2-2)^2+(-3+3)^2}$

BD=4

4 0

3 years ago

An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposit

Mazyrski [523]

Answer:

$2,382.03

Step-by-step explanation:

Interest = Principal x Rate x Time

6 0

2 years ago

The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.

aliina [53]

Answer:

-5 degrees

Step-by-step explanation:

In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...

(-2) - 3 = x

-5 = x

Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees

5 0

3 years ago

HELP PLEASE:

Afina-wow [57]

Y - y1 = m(x - x1)
slope(m) = 2/5
(-4,-7)....x1 = -4 and y1 = -7....pay attention to ur signs
now we sub
y - (-7) = 2/5(x - (-4)...not done yet
y + 7 = 2/5(x + 4) <===

6 0

3 years ago

Read 2 more answers

The number 31 is increased to 44. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Sophie [7]

Answer:

41.9 %

Step-by-step explanation:

when you look at the to numbers you will see that the two has a 41.9 % difference.

3 0

3 years ago