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3 years ago

How do you Simplify fractions

Mathematics

2 answers:

Lilit [14]3 years ago

6 0

By dividing the numbers example i had 3/9 it will divide by 3 FOLLOW ME

Sergio [31]3 years ago

5 0

in order to simplify a fraction you must find a gcf and divide the numerator and denominator by that number. for example:

4/8 has a gcf of 4, so 4 divided by 4 equals 1 and 8 divided by 4 equals 2 so your simplified fraction would be 1/2

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Find the value of x. 68° 110° 135°

navik [9.2K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Find the nth term of the arithmetic sequences a1=5,d=6,n=11

ki77a [65]

here's the solution,

n = 11
a = 5 ( a = first term )
d = 6 ( d = common difference )

we know,

=》

$nth \: \: term \: = a \: + (n - 1) \times d$

=》

$11th \: \: term = 5 + (11 - 1) \times 6$

=》

$11th \: \: term = 5 + (10 \times 6)$

=》

$11th \: \: term = 5 + 60$

=》

$11th \: \: term = 65$

nth term ( 11th term ) = 65

3 0

3 years ago

vovangra [49]

Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC

6+8+10 = 24

24/60 = 2/5

10/x = 2/5
50 = 2x
25 = x

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3 years ago

Question on the image

kodGreya [7K]

Let $x,y$ be the legs of the triangle, with $x[tex]\mathrm{area}_{\rm square} = y^2$

$\mathrm{area}_{\rm triangle} = \dfrac12 xy$

The square has 3 times the area of the triangle, so

$y^2 = \dfrac32 xy$

Meanwhile, in the triangle we have

$\tan(\theta) = \dfrac xy$

Now,

$y^2 = \dfrac32 xy \implies \dfrac23 = \dfrac xy \implies \boxed{\tan(\theta) = \dfrac23}$

5 0

2 years ago