the value of angle K is 56
Answer:
3x2
Step-by-step explanation:
because it is
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.
Answer:
a member would have to take 14 lessons versus a non-member which would only have to take 7
<span>3down votefavorite1Find minimum and maximum value of function <span>f(x,y)=3x+4y+|x−y|</span> on circle<span>{(x,y):<span>x2</span>+<span>y2</span>=1}</span>I used polar coordinate system. So I have <span>x=cost</span> and <span>y=sint</span> where <span>t∈[0,2π)</span>.Then i exploited definition of absolute function and i got:<span>h(t)=<span>{<span><span>4cost+3sintt∈[0,<span>π4</span>]∪[<span>54</span>π,2π)</span><span>2cost+5sintt∈(<span>π4</span>,<span>54</span>π)</span></span></span></span>Hence i received following critical points (earlier i computed first derivative):<span>cost=±<span>45</span>∨cost=±<span>2<span>√29</span></span></span>Then i computed second derivative and after all i received that in <span>(<span>2<span>√29</span></span>,<span>5<span>√29</span></span>)</span> is maximum equal <span>√29</span> and in <span>(−<span>45</span>,−<span>35</span>)</span> is minimum equal <span>−<span>235</span></span><span>
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