6) answer is B , random sampling produces a representative sample
7) 0.1 = 10% so the answer is A, he saves 10% of his income
The angle of elevation from the end of the shadow to the top of the man's head will be 34.077°.
<h3>What is a right-angle triangle?</h3>
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
A man who is 5feet 9inches tall casts a shadow of 8feet 6inches.
Assuming that the man is perpendicular to the ground.
5 ft 9 in = 69 in
8 ft 6 in = 102 in
Then the angle of elevation from the end of the shadow to the top of the man's head will be
tan θ = 69/102
θ = tan ⁻¹ (0.676)
θ = 34.077°.
More about the right-angle triangle link is given below.
brainly.com/question/3770177
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Acetic propionic anhydride, C5H8O3
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Ref. Pubchem
Note: next time, please post chemistry questions in appropriate section.
<u>Answer:</u>
x = 4 (extraneous solution)
<u>Step-by-step explanation:</u>
This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back 
, we will get two fractions with zero denominator which would be undefined.
