<span>It
has no perfect square factors, unless you count 1 = 1^2. That's sort
of a degenerate case we don't usually count, since every integer has
that factor. We would usually say that 1290 is a square-free integer. Hope this helps!!</span>
Answer:
Step-by-step explanation:
Given
Similar Triangles: ABC and DEF
Required
Determine the sides of DEF
No options were given, so I will solve on a general terms.
Since both triangles are similar, then the following relationship exists.
DEF = ABC * n
i.e.
Where
Assume n = 2.
So, we have:
Assume 
So, we have:
So, the possible sides are:
<h3 /><h3><u>▄▄▄▄▄▄▄▄▄▄▄▄</u><u>▄▄▄▄▄</u></h3><h3><u>Given :</u></h3>
- Base (b) = 5.4 cm
- Height (h) = 3.2 cm
- Length (l) = 6 cm
<h3><u>To Find : </u></h3>
- Volume of the Triangular Prism
<h3><u>Formula used : </u></h3>
<h3><u>Solution :</u></h3>
Volume of Triangular Prism = ½ × b × h × l
= ½ × 5.4cm × 3.2 cm × 6 cm
= ½ × 5.4 cm × 3.2 cm × 3 cm
= 1 × 5.4 cm × 3.2 cm
= 17.28 cm³
<h3>▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
<span>Since the paddock assumes a rectangular shape the area is 1/2 * b * h.
From Pythagorean AB^2 = BC^2 + AC^2
(3)^2 = (x + 0.4)^2 + x^2
9 = x^2 + 0.8x + 0.16 + x^2
So 2x^2 + 0.8x + 0.16 - 9 = 0
2x^2 +0.8x- 8.84 = 0
Using the quadratic formula
The solutions are 1.911 and -2.31
The area therefore is
area=1/2 * b * h
=1.91*2.31/2 = 2.21km²
1hectare = 0.01km²
2.21km^2 = 221ha</span>
