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timurjin [86]
3 years ago
10

What is the length Y in this picture ?

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Answer:

5

Step-by-step explanation:

The triangle pictured is a 45-45-90 triangle, meaning both legs are the same length, 5.

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Two-thirds of a class are boys. If there are 12 boys, then<br> how many girls are in the class?
son4ous [18]

Step-by-step explanation:

so 2/3 OF the class are boys...

***REMEMBER IN MATHEMATICS, ^OF^ IS USED TO SAY MULTPLICATION***

so 2/3 OF class(x) are boys and there are 12 boys...

so 2/3 * x = 12

12 / (2/3) = x

to solve use the Keep, Change, Flip method

Keep 12, change / to multiplication, flip 2/3 to 3/2

it becomes 12 * 3/2 and to solve easier 12 is same thing as 12/1

12/1 * 3/2

Multiply across (numerator by numerator and denominator by denominator)

(12*3) / (1*2) = 36 / 2

Simplify

18

So the class has 18 students, and 2/3 of boys (12 of the students)

we can solve for how many girls are in the class

Depending on how your teacher wants to see the work:

either 18 - 12 = 6

or 1/3 * 18 which we rewrite as 1/3 * 18/1 = (1*18)/(3*1) which is 18/3... simplified it is  6

There are 6 girls in the class.

Hope this helps! :)

6 0
2 years ago
What is the fourth term of the binomial expansion for (3x-2y)6
Thepotemich [5.8K]
One way is to just expand it by using binomial theorem
or to use pascal's triangle

ok so

to find the nth term of a binomial, (a-b). where the binomial is to the r power you do
n-1=k

rCk times (a)^{r-k}(-b)^k
and rCk=\frac{r!}{k!(r-k)!}

so

4th term
4-1=3
6 is exponent

6C3(3x)^{6-3}(-2y)^3=
( \frac{6!}{3!(6-3)!} )((3x)^3(-8y^3)=
( \frac{6*5*4}{1*2*3} )(27x^3)(-8y^3)=
(20)(27)(-8)(x^3)(y^3)=-4320x^3y^3



the 4th term is -4320x^3y^3

7 0
3 years ago
Jana is training for a triathlon. If Jana biked at a constant rate, how many miles did she bike in the first 15 minutes?
Harman [31]

In order to answer, I would first need to know Jana's speed, not that she biked at a constant rate.

7 0
3 years ago
8x+8(c+8)-6 show work its for my homework i get it but im just making sure i did it right:)
ioda
8x+8c+164-6
=8x+8c+158
7 0
3 years ago
Read 2 more answers
19 Sasha drinks 2.5 liters of water during the weekdays. She drinks a total of 3 liters of water on the weekend. What is the tot
12345 [234]
13.5
Hope this helps. Anymore questions?
6 0
3 years ago
Read 2 more answers
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