elizabeth buys a circular rug with a lace border. the lace is 12.56 feet long what is the diameter of the rug
2 answers:
We know that the lace is also what we would call the circumference of the circle.
And we also know that the circumference of a circle is represented by the equation:
.
We then can use the length of the lace (12.56 ft) to solve for the diameter (d) of the rug. Let us solve for that now:
We now know that the diameter of the rug is 4 ft.
And we also know that the circumference of a circle is represented by the equation:
We then can use the length of the lace (12.56 ft) to solve for the diameter (d) of the rug. Let us solve for that now:
We now know that the diameter of the rug is 4 ft.
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Given:
ΔABC ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
Do cross multiplication.
Add 192 on both sides.
Subtract 24x from both sides.
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Step-by-step explanation:
Slope, which is the same as gradient, is equal to
change in y axis ÷change in x axis
<h3>Our coordinates are (-12,-12) and (9,-9)
In (-12,-12),let the first -12 be <em>x1</em><em> </em>and the second one be <em>y1</em>
Same goes for the (9,-9), let 9 be <em>X2</em><em> </em>and -9l be <em>y2</em>
<em></em>
<em></em>
<em></em>
<em>=</em>0.1428571429
= 0.1429