A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2, what are the base and height o
1 answer:
Area = (base times height) / 2
Can rewrite it as
A= b * h * 1/2
16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64
Base = 4
Height = 8
Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)
Can rewrite it as
A= b * h * 1/2
16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64
Base = 4
Height = 8
Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)
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The population of the country in 1990 is 249.5 million
<u>Step-by-step explanation</u>:
- Let 'x' be the population in 1990.
- The population in 2015 is 321.9 million.
The increase in x by 29% = 321.910^6
(since x is 100% and increase of 29% will be 129%)
129% of x = 321.910^6
1.29x = 321.910^6
x = 321.910^6/1.29
x = 249.510^6
x = 249.5 million.
∴ The population of the country in 1990 is 249.5 million
Answer:
The side length of the equilateral triangle 9 inches.
The side length of the hexagon 4.5 inches.
The side length of the equilateral triangle = 1.4x + 2
So, the perimeter = 3(1.4x + 2) = 4.2x + 6.
The side length of the hexagon = 0.5x + 2
So, the perimeter = 6(0.5x + 2) = 3x + 12.
Given the the perimeters are equal.
So,
Hence,
The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9
The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5
