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viva [34]
3 years ago
14

A rectangular piece of land has an area of 3/4 square mile. The land is 21/2 mile. What is its width

Mathematics
1 answer:
OleMash [197]3 years ago
4 0

Answer:

The width of the rectangle is  \frac{1}{14} miles

Step-by-step explanation:

Given as for rectangle

The area of rectangle = A = \frac{3}{4} mile²

The Length of rectangle = L = \frac{21}{2} mile

Let The width of rectangle = W miles

Now, From area of rectangle

I.e Area of Rectangle = Length × Width

Or , A = \frac{21}{2} mile  × W mile

Or, \frac{3}{4} mile² = \frac{21}{2} mile  × W mile

or, W = \frac{\frac{3}{4}}{\frac{21}{2}} mile

or, W = \frac{3\times 2}{4\times 21}

∴  W = \frac{1}{14} miles

Hence The width of the rectangle is  \frac{1}{14} miles  Answer

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3 years ago
Which of the following descriptions represents the transformation shown in the image​
Viktor [21]

Answer:  A. 270° rotation, 3 units left, and 2 units up

<u>Step-by-step explanation:</u>

C = (1, 1)        D = (3, 3)          E = (2, -2)

270° rotation counterclockwise means (x, y) = (y, -x)

new C = (1, -1)        new D = (3, -3)         new E = (-2, -2)

3 units left means subtract 3 from the x-coordinate

newer C =( -2, -1)        newer D = (0, -3)      newer E = (-5, -2)

2 units up means add 2 to the y-coordinate

C' = (-2, 1)       D' = (0, -1)       E' = (-5, 0)

Since the first option worked, there is no need to check the other options.

7 0
3 years ago
Read 2 more answers
I need help this Question
Delicious77 [7]

Using the combination formula, it is found that the number of ways to choose the presenters is given by:

C. 462.

The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

C_{11,6} = \frac{11!}{6!5!} = 462

More can be learned about the combination formula at brainly.com/question/25821700

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2 years ago
Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)
Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

x_1=-2\\y_1=5\\x_2=-1\\y_2=1

Now substitute into the formula

m=\frac{y_2-y_1}{x_2-x_1}

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Subtract

m=\frac{-4}{1}

Divide

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Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

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S_A_V [24]

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Step-by-step explanation:

45 divided by 5 is 9 and what you do on the to you do on the bottom which means you would do 40 divided by 5 which you would get 8 as your answer.

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