Answer:
140°
Step-by-step explanation:
The sum of angle of a triangle is equal to 180°.
Two of the angles measured 20°.
We need to find the measure of the third angle of Nora’s triangle. let the third angle is x. So,
20+20+x = 180
40+x = 180
x = 180-40
x = 140°
So, the third angle of the triangle is 140°.
It looks like a “^” because of the negative while it starts at y = -2
a = amount deposited at 3.5%
b = amount deposited at 4.5%
we know that "b" is twice as much as "a", thus b = 2a.
![\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B5em%7D%5Cstackrel%7B%5Ctextit%7B3.5%5C%25%20of%20a%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B3.5%7D%7B100%7D%20%5Cright%29a%7D%5Cimplies%200.035a%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Ba%5C%25%20of%20b%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20%5Cleft%28%20%5Ccfrac%7Ba%7D%7B100%7D%20%5Cright%29%5Ccdot%20b%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B5em%7D%5Cstackrel%7B%5Ctextit%7B4.5%5C%25%20of%202a%7D%7D%7B%5Cleft%28%20%5Ccfrac%7B4.5%7D%7B100%7D%20%5Cright%292a%7D%5Cimplies%200.045%282a%29)
we also know that whatever "a" amount is, their sum is 2250, thus
Given multiplication:
(3√6 - √2)(4√2 - √6)
= 3√6(4√2-√6)-√2(4√2-√6)
= 3√6*4√2 - 3√6*√6 - √2*4√2 + √2*√6
= 12√12 -3√(6*6) -4√(2*2) + √(2*6)
= 12√(4*3) - 3√(36) - 4√(4) + √(12)
= 12*2√3 - 3*6 - 4*2 + 2√3
= 24√3 - 18-8 +2√3
= 24√3 + 2√3 - 18-8
= 26√3 - 18-8
= 26√3 - 26
= 26(√3-1).
<u>Answer</u><u>:</u><u>-</u> (3√6 - √2)(4√2 - √6) = 26(√3-1)
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