Answer:
D
Step-by-step explanation:
In a 30-60-90 triangle, if the short leg is x, then the long leg is x√3, and the hypotenuse is 2x.
Here, the hypotenuse is 10. So the short leg is:
10 = 2x
x = 5
If the short leg is 5, then the long leg is 5√3.
9.915 mi and that's all and that helped friend me please thanks stay pretty
Answer:
LCM(2x² , 3y) = 6x²y
Step-by-step explanation:
these two expressions 2x²and 3y have no common factor
Then
LCM(2x² , 3y) = 2x² × 3y
= (2×3)x²y
= 6x²y
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
V = 126 if that's what you're looking for