Factor completely 49x^2-36
2 answers:
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Given:
The volume of a prism with equilateral triangular cross-section is 270cm³.
Length of the prism = cm
To find:
The length of the side of the equilateral triangular cross-section.
Solution:
Formulae used:
Area of an equilateral triangle is
Where a is the side length of equilateral triangle.
Volume of prism is
Where, B is base area and h is the height of the triangular prism.
Cross section of the prism is an equilateral triangular so the base area of the prism is sq. cm.
The volume of the prism is
Divide both sides by 7.5.
It takes only positive value because the side cannot be negative.
Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.
The ratio of width to length in simplest form is 19 : 44
<em><u>Solution:</u></em>
Given that, A cell phone is 132 mm long and 57 mm wide
Length of cell phone = 132 mm
Width of cell phone = 57 mm
We have to find the ratio of width and length in simplest form
In ratio form, we know that,
Writing in ratio form, we get
Width : length = 19 : 44
Thus the ratio of width to length in simplest form is 19 : 44