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nordsb [41]
1 year ago
10

Use the distance formula to calculate the length of the leg CD

Mathematics
1 answer:
Karo-lina-s [1.5K]1 year ago
6 0

To calculate the distance between two points on the coordinate system you have to use the following formula:

d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}

Where

d represents the distance between both points.

(x₁,y₁) are the coordinates of one of the points.

(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

C(2,-1)

D(-1,-2)

Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)

\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}

The length of CD is √10 units ≈ 3.16 units

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Let c= cost to rent each other

Let t= cost to rent each other

2c+3t=25

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Put this value into the 1st equation solve c

2c+3(49)=49

2c+147=49

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C=49

Cost to each chair and table are same 49.


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What is 60,000+3,000+20+9 in standard form?
kenny6666 [7]

60,000 + 3,000 + 20 + 9

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Answer: 63,029

Hope this helps have A wonderful Christmas

Step-by-step explanation:

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3 years ago
Which of the following is closest to the area of the shaded region below?
enot [183]

Answer:

C is the answer

Step-by-step explanation:

Find the area of the whole circle, r=12cm

=pie× radius sq

=3.14×12×12

=<u>452.16cm sq</u>

The are of the smaller circle, r=6cm

=same formula

=3.14×6×6

=<u>113.04cm sq</u>

<u>Subtract</u><u> </u><u>them</u><u> </u><u>to</u><u> </u><u>find</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>shaded</u><u> </u><u>region</u><u> </u>

452.16 - 113.04

=339.12

<em>Closest</em><em> </em><em>is</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>339</em><em> </em><em>cm</em><em> </em><em>sq</em><em> </em><em>which</em><em> </em><em>is</em><em> </em><em>c</em>

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5 0
3 years ago
The area A, in square meters, of a rectangle with a perimeter of 60 meters is given by the equation A = 30w − w2, where w is the
Delvig [45]

Answer:

Step-by-step explanation:

The area is given in two ways:  1) as a formula:  A = 30w - w^2, and 2) as a specific numerical value:  A = 200 m^2.

Equating these, we get:

A = 200 m^2 = A = 30w - w^2

Rewriting this equation in the standard form of a quadratic function:

-30w + w^2 + 200 m^2 = 0

or  w^2 - 30w + 200 = 0, which in factored form is (w - 10)(w - 20) = 0.

Then w = 10 and w = 20.

The perimeter of the rectangle is P = 60 m, and this equals 2w + 2l.  Therefore, 30 m = w + l, or l = 30 - w.  

We have already found that w could be either 10 or 20.

If w = 10, then l = 30 - 10 = 20, and the perimeter would thus be:

P = 2(10) + 2(20) = 20 + 40 = 60.

This satisfies the constraints on w.

The width of the rectangle is 10 meters.  The length is 20 meters.

5 0
3 years ago
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