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NARA [144]
3 years ago
12

Which problem-solving variation would typically be used for finding a blender, a restaurant for lunch, or professional ball game

tickets?
Mathematics
1 answer:
Bogdan [553]3 years ago
8 0
<span>limited problem solving
       
Limited: a problem-solving process in which consumers are not motivated to search for information or to rigorously evaluate each alternative; instead they use simple decision rules to arrive at a purchase decision.</span>
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I have to use trigonometric identities to solve. But I’m having trouble finding the values of cos A and sin B. Can anyone help m
katrin [286]

let's notice something, angles α and β are both in the I Quadrant, and on the first quadrant the x-coordinate/cosine and y-coordinate/sine are both positive.

\bf \textit{Sum and Difference Identities} \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\alpha)=\cfrac{\stackrel{opposite}{15}}{\stackrel{hypotenuse}{17}}\impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{17^2-15^2}=a\implies \pm\sqrt{64}=a\implies \pm 8 = a\implies \stackrel{I~Quadrant}{\boxed{+8=a}} \\\\[-0.35em] ~\dotfill\\\\ cos(\beta)=\cfrac{\stackrel{adjacent}{3}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{5^2-3^2}=b\implies \pm\sqrt{16}=b\implies \pm 4=b\implies \stackrel{\textit{I~Quadrant}}{\boxed{+4=b}} \\\\[-0.35em] ~\dotfill

\bf cos(\alpha - \beta)=\stackrel{cos(\alpha)}{\left( \cfrac{8}{17} \right)}\stackrel{cos(\beta)}{\left( \cfrac{3}{5} \right)}+\stackrel{sin(\alpha)}{\left( \cfrac{15}{17} \right)}\stackrel{sin(\beta)}{\left( \cfrac{4}{5} \right)}\implies cos(\alpha - \beta)=\cfrac{24}{85}+\cfrac{60}{85} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cos(\alpha - \beta)=\cfrac{84}{85}~\hfill

5 0
4 years ago
What is - ( 2)^3?<br><br><br> Help please
Alex777 [14]
Answer is -8

-2x2x2:-8
5 0
3 years ago
2. Bo Diddly currently has a squash patch that measures 14 yards in length and 10 yards in
Sav [38]

Answer:14

Step-by-step explanation:

7 0
3 years ago
Breanna has quarters, dimes, and nickels in her purse. she has 3 fewer nickles than dimes, but she has 2 more nickles than quart
zmey [24]
We base ourselves in the one piece of crucial evidence: She has 2 quarters.
-from the rest of the problem, we know that she has 2 more NICKEL'S than QUARTERS, 

(2 Quarters + 2 = 4 nickels)

she has 3 fewer nickels than dimes, 

DIME - 3 = Nickels

D - 3 = 4

D = 7

7 dimes
(70 cents)

4 nickels
(20 cents)

2 quarters
(25 cents)

115 cents
or $1.15
8 0
4 years ago
Read 2 more answers
I need a little more help. Sorry for the spam questions.
Liula [17]
Perimeter is 28 and area is 32
3 0
3 years ago
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