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3 years ago

Find the value of x and then find the length of RT RT = X=

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Answer:

x = 5, RT = 18

Step-by-step explanation:

$\triangle MNL \sim \triangle SRT... (given) \\\therefore \frac{MN}{SR} = \frac{NL}{RT}.. (c.s.s.t)\\ \\ \therefore \frac{84}{24} = \frac{63}{3x+3}\\ \\ \therefore \frac{7}{2} = \frac{63}{3x+3}\\ \\ \therefore 3x+3 = \frac{63\times 2}{7}\\ \\ \therefore 3x + 3 = 9\times 2\\\therefore 3x + 3 = 18\\\therefore 3x = 18 - 3\\\therefore 3x=15\\\therefore x = \frac{15}{3}\\\huge \red {\boxed {\therefore x = 5}} \\ \\ \because RT = 3x + 3\\\therefore RT = 3\times 5+ 3\\\therefore RT = 15+ 3\\\huge \orange {\boxed {\therefore RT = 18}}$

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A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green and 4 are yellow

Mrrafil [7]

Answer:

$\displaystyle \frac{54}{5405}$ .

Step-by-step explanation:

How many unique combinations are possible in total?

This question takes 5 objects randomly out of a bag of 50 objects. The order in which these objects come out doesn't matter. Therefore, the number of unique choices possible will the sames as the combination

$\displaystyle \left(50\atop 5\right) = 2,118,760$ .

How many out of that 2,118,760 combinations will satisfy the request?

Number of ways to choose 2 red candies out a batch of 28:

$\displaystyle \left( 28\atop 2\right) = 378$ .

Number of ways to choose 3 green candies out of a batch of 8:

$\displaystyle \left(8\atop 3\right)=56$ .

However, choosing two red candies out of a batch of 28 red candies does not influence the number of ways of choosing three green candies out of a batch of 8 green candies. The number of ways of choosing 2 red candies and 3 green candies will be the product of the two numbers of ways of choosing

$\displaystyle \left( 28\atop 2\right) \cdot \left(8\atop 3\right) = 378\times 56 = 21,168$ .

The probability that the 5 candies chosen out of the 50 contain 2 red and 3 green will be:

$\displaystyle \frac{21,168}{2,118,760} = \frac{54}{5405}$ .

3 0

3 years ago

Please help right away

andrew-mc [135]

Answer:

100

Step-by-step explanation:

Mixed candy question... Skittles jar... to be filled with Jelly beans.

Let's first calculate the volume of the jar. We'll assume it's a regular cylindrical prism jar, unlike the one on the photo which is narrower on top.

V = π * r² * h = π * (3.5)² * 11.5 = 140.875 π = 442.6 cubic cm

Now, we don't have the precise measurement of a jelly bean, but we know it's roughly 2-3 cubic cm. The precision isn't needed to answer this question, just to have a rough idea... it's no 300 cu cm per jelly bean.

So, let's assume a 3 cu cm per jelly bean (2 cu cm wouldn't the final answer)....

442.6 / 3 = 147.5 jelly beans, approximately.

So, can they fit 100,000? No

Can we fit 10,000 in there? No

Can we fit 100? Yes.

Can we fit 1? Certainly

The most reasonable lower-limit would then be 100.

4 0

3 years ago

For the polynomial f(x) = 5x^5 + 3x^3 - 16x + 2

mojhsa [17]

I hope this helps you :)

3 0

2 years ago

Hello! Anyone able to help me with question 3 + explanation too? Thanks!

taurus [48]

Answer:

2 or 12

Step-by-step explanation:

The answer that we will use this equation 1/t1 +1/t2=1/ttotal

where t1 is the time of smaller pipe while t2 is the of the larger pipe

Given t total =4 while t2 is equal to t2=t1-6

So know you can solve the problem by changing it into (2t1-6)/(t1*(t1-6))=1/4

8( t1-3)=(t1^2-6t1)

t1^2-14t1+24=0

t1=2 or 12

5 0

3 years ago

Read 2 more answers

What is the inverse of y = 3x + 9? A. y= 1/3x - 3 B. y = 1/3x + 9 C. y = -1/3x - 3 D. y = 9x + 3

Aneli [31]

Answer:

1/3x - 3

Step-by-step explanation:

To find the inverse, we exchange x and y and then solve for y

y =3x+9

Exchange x and y

x = 3y+9

Then solve for y

Subtract 9 from each side

x-9 =3y+9-9

x-9 = 3y

Divide by 3

1/3(x-9) = 3y/3

1/3(x-9) = y

Distribute

1/3x-3 = y

The inverse is 1/3 x -3

6 0

3 years ago