Answer:
So here is the answer.
We represent h = hardwood and p = pine bark
Here is the equation: h + p = 176
2.75p + 3.50h = 520
Next, p = 176 -h (substitute)
2.75 (176-h) + 3.5h = 520
484 -2.75h + 3.5h = 520
3.5h-2.75h = 520 -484
0.75h = 36 (divide both by 0.75)
h = 48
Therefore, the number of hardwood sold is 48.
h + p = 176
p = 176-48
p= 128
The number of pine bark sold is 128.
Hope this helps :)
Step-by-step explanation:
Hi!
Let's first expand the cotangent of theta.
You'll probably know that tangent will be "y/x", or 
, and cotangent is the reciprocal of this, meaning that it is "x/y" or 
.
That means that we are now given this equation.
That'll multiply to:
We'll want a common denominator to add by multiplying 
to both top and bottom of the second term:
Pythagorean Identity states that 
, so substitute that in:
Which simplifies to:
Hope this helps!
Two sets of (2+3) because that is 5 times 2 which is ten. The other is 3 times three which is 9
Answer:
$35
Step-by-step explanation:
If $21 is 60% of the original price, then the original price is ...
21 = 0.60p
21/0.60 = p = 35
The original price is $35.00.
