The hot tub takes in 1,520 watts everyday to keep its water warm. A kilowatt has 1,000 watts (hence kilo means 1,000). 1,520 divided by 1,000 equals 1.520. However, this isn't free electricity - Each kilowatt costs 8 cents or 0.08 of a dollar. 1.520 x 0.08 = 12.160 or $12.16. We aren't done yet! This hot tub runs for 4 months (and we are assuming these months exactly have 30 days each). 4 x 30 = 120. $12.16 x 120 = $1,459.20. In order to keep the hot tub running, you need to pay 1,459.20 for all the kilowatts of electricity it takes.
The answer is: " -8 √5 " .
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Note:
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√-8 *√-40 = i√8 * i√40 ; {since: "i" refers to the imaginary number; " √-1 " } ;
= i² * √8 *√40 ;
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Note:
"√8 * √40 = ? " ;
↔ " √8 = √4 √2 = 2√2 " ;
"√40 = √4 √10 = 2√10" ;
→ "√8 √40 = 2 * 2 * √2 * √10 ;
= 4 * √(2*10) ;
= 4 √20 ;
→ " √20 = √4 √5 = 2√5 ;
→ 4 √20 = 4 * 2 * √5
= 8 √5 ;
→ i² * 8 √5 ;
↔ 8 i² √5 ;
Note: " i² = -1" ;
→ 8(-1) * √5 ;
= -8 √5 .
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Answer:
3) No solution
4) No solution
Step-by-step explanation:
3) The equation simplifies to ...
5x +15 = 5x +3
15 = 3 . . . . . . . . . . subtract 5x; no value of x will make this true
There is no solution.
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4) The equation simplifies to ...
4 = -5 . . . . . . . . . subtract y; no value of y will make this true
There is no solution.
10 and 2/5
since 6+3 = 9
amd 4/5 + 3/5 = 7/5 = 1 and 2/5
Thus 9 + 1 + 2/5 gets you 10 and 2/5
All angles in a triangle sum to 180°, so
(7x - 8) + (3x + 3) + (18x - 11) = 180
28x - 16 = 180
28x = 196
x = 7
(18x - 11) is the clearly largest angle
18(7) - 11 = 115°
115° is an obtuse angle, therefore the triangle is obtuse
