Answer:
=cos(x) use basic properties of sosine (addition and subtraction) cos(a-b)=cos(a)cos(b)+sin(a)sin(b)
We're willing, but sadly not able.
Here's are the other things we'll need before we can attack this one:
1). We need to know how often does Ned swim ?
2). We need to know how often does Ned bicycle ?
3). We need to see that "chart below".
The only thing I see below right now is my dog.
Answer:
w=2
Step-by-step explanation:
A=length times width (A=lw)
w= l-3
A=10
Substituting in, we get:
10= l(l-3)
Now, solve the equation.
10= 
-3l
-3l-10=0
(l+2) (l-5)=0 (factoring the equation)
Therefore, l= -2 or 5
Throw out the negative value because a length of rectangle will never be negative.
Now let's solve for width
Remember w=l-3
therefore
(5)-3=2
so, w=2
(honestly, this is easier to just do in your head. But here is the long form math if you happen to run into more complicated problems.)
Let the weight of the full Volume of nails in the box be W.
Let the weight of the box be B.
2/3 W + B = 130 ........i From the first statement.
3/8 W + B = 74 ......ii From the second statement.
Equation (i) Minus (ii)
2/3 W - 3/8 W + B - B = 130 - 74
(16W - 9W) / 24 = 56
7W / 24 = 56.
W = 56 * 24 / 7
W = 192 Pounds.
Substituting V = 64 in equation (i)
2/3 W + B = 130
2/3 * 192 + B = 130
2 * 64 + B = 130
128 + B = 130
B = 130 -128 = 2.
Therefore, weight of box, B = 2 pounds.
Answer:
9
Step-by-step explanation:
6n = n² - 27
n² - 6n - 27 = 0
n² - 9n + 3n - 27 = 0
n(n - 9) + 3(n - 9) = 0
(n - 9)(n + 3) = 0
n = -3, 9
