Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
240006029eπn−777600000049624699eπ2
Evaluate
45∘13′3′′×(n−4∘34′22′′)e
Subtract the terms
45∘13′3′′×(n−3240008231π)e
Multiply the numbers
More Steps
Evaluate
45∘13′3′′×e
Rewrite the angle
More Steps
Calculate
45∘13′3′′
Write the degrees,minute,and seconds as a sum
45∘+13′+3′′
To convert 13′ to degrees,multiply it’s by 60′1∘
45∘+13′×60′1∘+3′′
To convert 3′′ to degrees,multiply it’s by 3600′′1∘
45∘+13′×60′1∘+3′′×3600′′1∘
Multiply the numbers
45∘+(6013)∘+3′′×3600′′1∘
Multiply the numbers
45∘+(6013)∘+(12001)∘
Add the numbers
(602713)∘+(12001)∘
Rewrite the expression
(602713+12001)∘
Calculate
(40018087)∘
(40018087)∘e
Multiply the terms
(40018087e)∘
(40018087e)∘(n−3240008231π)
Simplify
240006029eπ(n−3240008231π)
Apply the distributive property
240006029eπn−240006029eπ×3240008231π
Solution
More Steps
Evaluate
240006029eπ×3240008231π
To multiply the fractions,multiply the numerators and denominators separately
24000×3240006029eπ×8231π
Multiply the numbers
More Steps
Evaluate
6029eπ×8231π
Multiply the terms
49624699eπ×π
Multiply the terms
49624699eπ2
24000×32400049624699eπ2
Multiply the numbers
777600000049624699eπ2
240006029eπn−777600000049624699eπ2
Show Solution
Factor the expression
77760000006029eπ(324000n−8231π)
Evaluate
45∘13′3′′×(n−4∘34′22′′)e
Subtract the terms
45∘13′3′′×(n−3240008231π)e
Multiply the numbers
More Steps
Evaluate
45∘13′3′′×e
Rewrite the angle
More Steps
Calculate
45∘13′3′′
Write the degrees,minute,and seconds as a sum
45∘+13′+3′′
To convert 13′ to degrees,multiply it’s by 60′1∘
45∘+13′×60′1∘+3′′
To convert 3′′ to degrees,multiply it’s by 3600′′1∘
45∘+13′×60′1∘+3′′×3600′′1∘
Multiply the numbers
45∘+(6013)∘+3′′×3600′′1∘
Multiply the numbers
45∘+(6013)∘+(12001)∘
Add the numbers
(602713)∘+(12001)∘
Rewrite the expression
(602713+12001)∘
Calculate
(40018087)∘
(40018087)∘e
Multiply the terms
(40018087e)∘
(40018087e)∘(n−3240008231π)
Factor the expression
(40018087e)∘×3240001(324000n−8231π)
Solution
77760000006029eπ(324000n−8231π)
Show Solution
Find the roots
n=3240008231π
Alternative Form
n=4.5727˙∘
Alternative Form
n≈0.07981
Evaluate
45∘13′3′′×(n−4∘34′22′′)e
To find the roots of the expression,set the expression equal to 0
45∘13′3′′×(n−4∘34′22′′)e=0
Subtract the terms
45∘13′3′′×(n−3240008231π)e=0
Multiply the terms
More Steps
Multiply the terms
45∘13′3′′×(n−3240008231π)e
Multiply the numbers
More Steps
Evaluate
45∘13′3′′×e
Rewrite the angle
(40018087)∘e
Multiply the terms
(40018087e)∘
(40018087e)∘(n−3240008231π)
Simplify
240006029eπ(n−3240008231π)
240006029eπ(n−3240008231π)=0
Rewrite the expression
n−3240008231π=0
Move the constant to the right side
n=0+3240008231π
Solution
n=3240008231π
Alternative Form
n=4.5727˙∘
Alternative Form
n≈0.07981
Show Solution