243^0.2x=81^x+5Could you please help me with the steps to this problem?
1 answer:
Answer:
-20/3
Step-by-step explanation:
First simplify the left side of the equation
243^(1/5x)= (243^1/5)^x
=( )^x
= 3^x
Now that the left side is simplified, let's move to the right side
81^(x+5)=( )^(x+5) simplify 81 to base 3^4
= use the product of powers property to multiply the exponents together
=
With both sides simplified, let's rewrite the equation, this time in simplified terms
=
x=4x+20 because both the bases are same, their exponential value must also be equal
-3x=20 solve the algebraic equation for x
x=
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Answer:
Perimeter = 32.3
Area = 95.24
Step-by-step explanation:
Given:
△ABC, m∠A=60°
m∠C=45°, AB = 9
To find:
Perimeter of △ABC
Area of △ABC
Solution:
Using angle sum property in a triangle:
m∠A + m∠B + m∠C = 180°
m∠B = 180° - 45° - 60° = 75°
As per Sine Rule:
Where
is the side opposite to
is the side opposite to
is the side opposite to
Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>
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Area of a triangle is given as: