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3 years ago

What is the cost of buying 10 tickets if 4 tickets cost 122 dollars?

Mathematics

2 answers:

Hitman42 [59]3 years ago

8 0

Answer:

$305

Step-by-step explanation:

4 tickets = $122 <-- divide by 4

1 ticket = $30.5 <-- multiply by 10

10 tickets = $305

ololo11 [35]3 years ago

5 0

Answer:

305

Step-by-step explanation:

122 +122=244

122 divided by 2=61

244+61=305

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The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

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According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

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We need to find ∠ABC or ∠B . So using Cosine rule, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

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