Answer:
x = 
Step-by-step explanation:
Cos 45= 12/x
x=12/Cos 45
x=
Answer:
<em>Beck actually caught 45 fish</em>
Step-by-step explanation:
<u>System of Equations</u>
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
One side of the rectangle is x=2, the other side is 2x-5
Add up all the four sides: (x+2) +(x+2)+(2x-5)+(2x-5)=54
6x-6=54
x=10
#3: suppose the first integer is x, then the second one is x+2
x(x+2)=255
x^2 +2x -255 =0
factor the quadratic equation: (x+17)(x-15)=0
x=-17, which is impossible, or x=15
so the two positive integers are 15 and 17
Answer:
$1,008 weekly, $52,416 annually
Step-by-step explanation:
14% of $7200 is 7200 multiplied by .14 (% is decimal multiplied by 100)
.14 of 7200 = 1008
Since you specified the year, I'm going to assume that you need the annual salary based on the weekly salary that she gets from commissions.
$1008 per week, 52 weeks in a year
52 * 1008 = $52416, her commission in 2011
