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77julia77 [94]
2 years ago
15

In ΔUVW, u = 8.1 cm, v = 8.4 cm and ∠W=102°. Find the length of w, to the nearest 10th of a centimeter.

Mathematics
1 answer:
zvonat [6]2 years ago
4 0

Answer:12.8

Step-by-step explanation:

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Mary invested $5000 in the bank. How much money does she have at the end of 15 years if the interest rate is 4.5% per annum ? A
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2 years ago
The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
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\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

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A definition of Associative property for addition and multiplication
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To “associate” means to connect or join with something and The associative property states that you can add or multiply regardless of how the numbers are grouped. ... In other words, if you are adding or multiplying it does not matter where you put the parenthesis.

Step-by-step explanation:

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2 and 14/15

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