Lets find the missing sides first
big triangle, we apply the Pythagorean theorem a^2+b^2=c^2
a^=13^2-5^=169-25=144, Square root of a=square root of 144=12
a=12
smaller triangle
5^2-3^2=b^2
25-16=9
b=4
Elm trail is 13km+5km=18km
Dogwood trail=12+5+4+3=24km
correct choices are 2 and 5
If the first expression reads x(cube) • x(cube) • x(cube) and x(cube • cube <span>• cube), then the answer is no. They are not equal.
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x(cube) • x(cube) <span>• x(cube) will be equivalent to x(to the 9th power) while </span>x(cube • cube <span>• cube) will be equivalent to x( to the 27th power). </span><span>
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In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
