Answer:
Use trig
Step-by-step explanation:
sin(55) = x/21
x = 21sin(55)
use calculator in degree mode
cos(55) = y/21
21cos(55) = y
4x - 2y = 22
Start by adding 2y to both sides to cancel out the -2y
4x = 22 + 2y
Now you can divide by 4
x = 22/4 + 2y/4
Reduce all the fractions to get your answer, which is
Answer:
16/45; 4/45; 1125
Step-by-step explanation:
Since you know that 4/9 and 1/5 are used, make them common denominators. So 4/9 would turn into 20/45 and 1/5 would be 9/45. It results in 29/45, but that is the amount spent, so you would subtract 45-29/45, resulting in 16/45. For B, you know that she spent 3/4 of the savings, so you know that 1/4 is not being spent. So use 1/4 multiplied by 16/45 from part A to get 4/45. For C, you know that 4/45 is $100, so I multiplied 45x100 to get 4500 and then divided by 4 to get 4500/4.
Answer:
32
Step-by-step explanation:
Plug in 4 for c.
(c³)/2 = (4³)/2
First, solve the parenthesis, then divide. Multiply:
4³ = 4 * 4 * 4 = 16 * 4 = 64
Next, divide:
64/2 = 32
32 is your answer.
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Answer:
It would roll in this direction.
Step-by-step explanation:
It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.
Since
For this case, the gradient of your function would be
And -1 times the gradient of your function would be
Then, at
So it would go towards
The magnitud of that vector is
and to conclude it would roll in this direction.
