Answer:
33.18
Step-by-step explanation:
Use law of sines.
x / sin(65°) = 21 / sin(35°)
x = 21 sin(65°) / sin(35°)
x ≈ 33.18
Answer:
72/149
Step-by-step explanation:
Just to clarify, the curly braces mean the same thing as normal parenthesis.
(12 + 5^2) = (12 + 25) = 37
(-7-15)^2 = (-22)^2 = 484
6^3 = 216
(12 + 5^2) - (-7-15)^2 = 37 - 484 = 447
6^3 / ((12 + 5^2) - (-7 - 15)^2) = 216 / 447 = 72/149
Answer:
7 oz, 13 sandwiches, 22.75 oz, and 30.33 oz.
Step-by-step explanation:
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.
Answer:
I'm pretty sure A is the correct answer :)
(x-2)(x^4+3) is a polynomial