SOH-CAH-TOA
sin=opp/hyp
cos=adj/hyp
tan=opp/adj
1. Sin c=opp/hyp 2. tan=opp/adj 3. sin=opp/hyp
sin c=8/17 tan38°=x/16 sin38=18/x
x=18/sin38; x=29.236846
Step-by-step explanation:
terminate as it had already been simplify
Answer:
50 hammers and 20 wrenches.
Step-by-step explanation:
Let x represent number of hammers and y represent number of ranchers.
We have been given that a store sold 70 hammers and ranchers. We can represent this information in an equation as:
We are also told that each hammer sold for $10 and each rancher sold for five dollars resulting a total of 600.00. We can represent this information in an equation as:
From equation (1), we will get:
Substituting this value in equation (2), we will get:
Therefore, 20 wrenches were sold.
Now, we will substitute in equation (1) as:
Therefore, 50 hammers were sold.
Solve either equation for either variable. Since the second one has y on its own, the easiest choice is to solve that for y.
-5x + y = 13 ⇒ y = 5x + 13
Now substitute this into the other equation to eliminate y and rewrite it entirely in terms of x :
-3x + 3y = 3 ⇒ -3x + 3 (5x + 13) = 3
Simplify and solve for x :
-3x + 15x + 39 = 3
12x = -36
x = -3
Substitute this into either original equation to solve for y. Plugging x = -3 into the first equation would give
-3 (-3) + 3y = 3
9 + 3y = 3
3y = -6
y = -2
So the solution to the system of equations is (x, y) = (-3, -2).
