Answer:
<h2>0i</h2>
Step-by-step explanation:
The imaginary number has form:
<em>a + bi</em>
<em>a</em><em> - real part</em>
<em>bi</em><em> - imaginary part</em>
<em>i</em><em> - imaginary unit (i = √-1)</em>
We have the number 9.
<em>9</em><em> is a real part</em>
An imaginary part is equal 0.
Therefore the imaginary part of number 9 is 0i.
Answer:
Yes
Step-by-step explanation:
The driver completed his route 9 different times as recorded here: 44.2, 44.9, 46.1, 45.8, 44.7, 45.2, 45.1, 45.3, and 44.6. The goal of the company is for the driver to complete it within less than 0.5 mins of 45 mins. The driver failed to do this two times when they completed it in 44.2 mins and 46.1 mins. If you take an average of the bus drivers 9 runs it is 45. 1 mins. Overall the driver does complete most runs within 0.5 mins on average.
44.2+ 44.9 +46.1 +45.8+ 44.7+ 45.2+ 45.1+ 45.3+ 44.6 = 405.9
405.9 / 9 = 45.1
Answer:
The interest rate of the account is
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above and solve for r
Convert to percent
Yes; a triangle is formed:
<span>______________________________________________________</span>
m∡A = 17° ;
m∡B = 137° (given) ;
m∡C = 26° ;
a = 6 ;
b = 14 (given) ;
c = 9 (given) .
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Explanation:
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Note:
The law of sines:
(sin A) / a = (sin B) / b = (sin C) / c ;
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Given:
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B = 137 ;
c = 9 ;
b =14 ;
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(sin B) / b = (sin C) / c ;
(sin 137) / 14 = (sin C) / 9 ;
(0.681998360062) / 14 = 0.0487141685758571 = (sin C) / 9 ;
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sin C = (0.0487141685758571) * (9) ;
sin C = 0.4384275171827139 ;
Take the "arc sin" of each side of the equation; to isolate "C" on one side of the equation; and to solve for "C" ;
arc sin (C) = arc sin ( 0.4384275171827139) ;
C = 26.003593520741 ; round to 26.
If all angles of a triangle add up to 180 degrees: then:
A + B + C = 180 ;
A + 137 + 26 = 180 ;
A + 163 = 180 ;
Subtract "163" from each side of the equation; to isolate "A" on one side of the equation; and to solve for "A" ;
A + 163 − 163 = 180 − 163 ;
A = 17 ;
Now, to solve for "a" ;
(sin A) / a = (sin B)/ b ;
(sin 17) / a = 0.0487141685758571 ;
(0.0487141685758571) a = (sin 17) ;
Divide EACH SIDE of the equation by: "(0.0487141685758571)" ;
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to isolate "a" on one side of the equation; and to solve for "a" ;
______________________________________________________
[(0.0487141685758571)a ] / (0.0487141685758571) =
(sin 17) / (0.0487141685758571) ;
_________________________________________________________
a = (sin 17) / (0.0487141685758571) ;
= (0.292371704723) / (0.0487141685758571) ;
a = 6.0017796314787227112 ; round to "6" .
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Solve simultaneously
let x be marys age and y be peters age.
x-2=1/2(5y) -equation 1
x=2/3y -equation 2
Let me know if you want me to solve it for you but these are the two equations