To do this without a calculator, it may be easier to break the number into smaller parts.
420 * 6
= (400 * 6) + (20 * 6)
= 2400 + 120
= 2520
Hope this helps! :)
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Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:
Angle sum of a triangle = 180°
As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:
Each angle of an equilateral triangle = the same value
Therefore:
Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°
Based on this, the following is applicable:
2x - 4 = 60°
2x = 60 + 4
2x = 64
x = 64 / 2
x = 32°
ANSWER:
Therefore, the answer is:
The value of ( x ) is 32°
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1/27
1/27
125
Step-by-step explanation:
Given that,
a - b = 3
9^(1/2b) /3^a = 3^(2/2b) /3^a
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)
= 5^a/5^b
= 5^(a- b)
= 5^3
= 125
