The ordered pair is a solution of x - y = 2 and 3y - x = 8 is (x, y) = (7, 5)
<h3><u>Solution:</u></h3>
Given two equations are:
x - y = 2 and 3y - x = 8
<em><u>To find: orderes pair i.e (x, y)</u></em>
Let us consider:
x - y = 2 ------- eqn 1
3y - x = 8 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "x" and "y"</u></em>
On rearranging eqn 2, we get
-x + 3y = 8 ------ eqn 3
Add eqn 1 and eqn 3
x - y = 2
-x + 3y = 8
(+) ---------------
0 + 2y = 10
2y = 10
<h3>y = 5</h3>
Therefore from eqn 1,
x - y = 2
x - 5 = 2
x = 5 + 2 = 7
<h3>x = 7</h3>
Thus the ordered pair to the given equations are (x, y) = (7, 5)
We can see the ratio of a side big figure and small figure is 60:15 or 60/15 = 1/4.
In decimal form we can write 1/4 as 0.25.
Therefore, scale factor is 0.25.
So, second option is applicable. Please check second option :
<h3>The scale factor is 0.25.</h3>
Now, let us find the side A by multiplying by scale factor 0.25 of the big figure.
The corresponding side of A is 35.
Therefore, A is 0.25 × 35 = 8.75 cm.
Therefore, other applicable option is 3rd option.
<h3>The length of side A is 8.75 cm.</h3>
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Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
3.5 times 4 equal 14 so if you add up the 10 it equals 24
Given that the height of the triangle portion of the enclosure is 28 ft and the base is 22 ft, we can find the two outer sides' lengths using Pythagorean Theorem:

The legs of the right triangle formed by the height, half the base, and one of the outer walls are 28 and 11. So:



or about 30.08 ft
This is the length of both linear sides of the enclosure.
Next, to find the bottom side's length, we need to figure out half of the circle's circumference. We know that:

So the other side's length is:

Or about 34.56 ft
The perimeter is:
2(30.08) + 34.56 =
94.72 ftNext, to find the area of the triangle portion of the enclosure, we must use:


= 308 ft^2
The area of a circle is:

So the semi-circle portion of the enclosure has an area of:

or about 190.07 ft^2
The total area of:
308 + 190.07 =
498.07 ft^2