Well the way you would do it is you would add all of them up and then divide them by how much there is so the numbers added up give you 310 divided by 5 is 62 hop this helps!!!

3 0

4 years ago

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Given tan θ = 3/4 for acute angle θ, find the value of a and b for the statement cos θ = a/b.

Furkat [3]

Step-by-step explanation:

$\tan \theta = \frac{3}{4} \\ \\ \sec \theta = \sqrt{1 + { \tan }^{2} \theta} \\ \hspace{22 pt} = \sqrt{1 + {( \frac{3}{4} )}^{2} } \\ \hspace{22 pt} = \sqrt{1 + {\frac{9}{16} }} \\ \hspace{22 pt} = \sqrt{ {\frac{16 + 9}{16} }} \\ \hspace{22 pt} = \sqrt{ {\frac{25}{16} }} \\ \red{ \boxed{\bold{ \therefore \sec \theta = { {\frac{5}{4} }} }}} \\ \\ \cos \theta = \frac{1}{\sec \theta } = \frac{4}{5} = \frac{a}{b} \\ \\ \implies \: a = 4 \: and \: b = 5$

6 0

3 years ago

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are

Korvikt [17]

Let the number of boys and the number of girls be 5x and 4x

Number of girls = 4x = 60

x = 15

Number of boys = 5x

= 5× 15

= 75 boys

5 0

3 years ago

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