Answer:
1. 13= 13 2. 17> 7 3. 30>9. 4. 30> 3
Given was <span><span>cotθ</span>=−<span>21</span></span> and cot is the reciprocal of tan
therefore
<span><span>tanθ</span>=<span>1<span>−2</span></span></span>
solve for the hypotenuse c since t he opposite side <span>a=1</span> and the adjacent sides <span>b=−2</span> were already given. that is,
<span><span>c2</span>=<span>a2</span>+<span>b2</span></span>
<span>c=<span>√<span><span><span>(1)</span>2</span>+<span><span>(−2)</span>2</span></span></span></span>
<span>c=<span>√5</span></span>
Solving for <span>sinθ</span>
<span><span>sinθ</span>=<span><span>oppositesides</span><span>hypoteνse</span></span>=<span>ab</span></span>
<span><span>sinθ</span>=<span>1<span>√5</span></span></span> need to rationalize
<span><span>sinθ</span>=<span>(<span>1<span>√5</span></span>)</span>×<span><span>√5</span><span>√5</span></span></span>
<span><span>sinθ</span>=<span><span>√5</span>5</span></span>
Note that the adjacent side of the angle is <span>−2</span> so the angle
θ is found in the <span>2nd</span> quadrant.
Okay so because we are talking about the rate of km per hour. This means that car A is going 208km per hour. We are trying to find out how many km at 12 hours so we are going to multiply:
208x12= 2496km
Now we have to do the same for car B:
215x12= 2580km
Next we have to figure out how many km more did car B drive than car A so we have to subtract:
2580-2496= 84km
Hope this helps(;
Anwser:
y = 2x
Examples:
1.1= 1
2.2= 4
3.3= 9
4.4= 16
5.5= 25
