3 years ago

Find the ratio a : b if it is given that 5a-3b=7b

Mathematics

1 answer:

Hitman42 [59]3 years ago

4 0

Answer: ab : a/2

Step-by-step explanation:

sorry if i am

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3 years ago

an elephant can run 25 mph, a reindeer can run 32 mph, a greyhound 39 mph, and an elk 45 mph. write the relation that describes

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2 years ago

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Agata [3.3K]

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4 years ago

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Feliz [49]

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3 years ago

Question 72 true or false

nalin [4]

Answer:

True

m∠T = 40.4°

Step-by-step explanation:

We know all the sides of the triangle but we do not know any of its angles.

To find out if the angle T = 40.4 ° we use the cosine theorem.

According to the cosine theorem:

$c^2=a^2 +b^2-2abcos(\alpha)$

Where $\alpha$ is the angle between a and b.

In this case:

$\alpha = T\\\\a= 11\\\\b=13\\\\c= 8.5$

Then we clear α from the formula and verify that it is equal to 40.4 °

$8.5^2 =11^2 + 13^2 -2(11)(13)cos(\alpha)\\\\8.5^2 -11^2 - 13^2= -2(11)(13)cos(\alpha)\\\\-8.5^2 +11^2 + 13^2= 2(11)(13)cos(\alpha)\\\\\frac{-8.5^2 +11^2 + 13^2}{2(11)(13)}=cos(\alpha)\\\\\alpha=arcos(\frac{-8.5^2 +11^2 + 13^2}{2(11)(13)})\\\\\alpha = 40.4\° =T$

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3 years ago