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strojnjashka [21]
3 years ago
12

6 For every 3 girls in Mr Hegarty's class there are 5 boys. What is the ratio of girls to boys in the class? Give your answer in

its simplest form.
Mathematics
2 answers:
Viefleur [7K]3 years ago
8 0
<h3>The ratio of girls to boys is 3:5</h3>

We cannot simplify this further because 3 and 5 have no factors in common, other than 1. So we just leave it as is.

MArishka [77]3 years ago
6 0
3:5 that is the ratio
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What is the perfect cubes between 1000 and 3000 that are even numbers
Bogdan [553]
<span>12^3 = 1728 and 14^3 = 2744 First, let's reduce the range of numbers to check. The cube root of 1000 is 10 and the cube root of 3000 is 14.4225. So we need to look at the numbers 11, 12, 13, and 14. Not looking at 10 since the question states "BETWEEN 1000 and 3000". Now the only way you're going to get an odd number when multiplying 2 numbers is if both numbers are odd. And since we're looking for perfect cubes, that would imply that we're cubing an even number. So the answers will be 12^3 = 1728 and 14^3 = 2744</span>
8 0
4 years ago
Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0
2 years ago
PLZ HELP IM IN 8TH GRADE
jok3333 [9.3K]

Answer:

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Step-by-step explanation:

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