7/43 = 0.1627907
0.1627907 • 100 = 16.2790
Then round the decimal
The final answer is 16.3%
16.3% of Nixon’s vetoes were overidden by congress.
Answer:
81
Step-by-step explanation:
Answer:
a = 33ft
b= 66ft
c = 48 ft
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- a (shortest side)= a
- b (second side)=2a (twice the length of the shortest side)
- c (third side)= a+15 ( 15 feet more than the length of the shortest side)
Since:
Perimeter = a+b+c
Replacing with the values given:
147 = a+2a+(a+15)
147 = a+2a+a+15
147-15 = a+2a+a
132 = 4a
132/4 = a
33 ft= a
Substituting a =33 in the other expressions:
b=2a = 2(33) = 66 ft
c= a+15 = 33+15 = 48 ft
The answer should be A because when you multiply two negatives it comes out positive
{tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)}
<span>ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to: </span>
<span>= 8*tan(10)/{1 - 3*tan²(10)} </span>
<span>iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10) </span>
<span>= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>
<span>= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>
<span>= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)} </span>
<span>= 3*tan(30) = 3*(1/√3) = √3 [Proved] </span>
<span>[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)}, </span>
<span>{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>