1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mars1129 [50]
2 years ago
8

Please help me with this surds question. Explain how you got your answer.

Mathematics
1 answer:
andre [41]2 years ago
7 0

Answer:

1/5

Step-by-step explanation:

b and c = \sqrt{50}   because 10 x 5 = 50

therefore  the fraction is   √2/ √50

to simplify you need to simplify the √50 into a number of √2 as the top is √2

√50 = √25 x √2

= 5√2

√2/5√2 = 1/5   if you divide both top and bottom by √2

You might be interested in
What is the ratio a:b if 8a=3b?
Digiron [165]

The ratio a:b is 3:8

Step-by-step explanation:

In simple words, the ratio a:b means the fraction a/b.

So we will have to solve the given equation for a/b

Given

8a=3b

Dividing both sides by 8

\frac{8a}{8}=\frac{3b}{8}\\a=\frac{3b}{8}

Dividing both sides by b

\frac{a}{b}=\frac{3b}{8*b}\\\frac{a}{b} =\frac{3}{8}

The ratio a:b is 3:8

Keywords: Ratios, Fractions

Learn more about ratios at:

  • brainly.com/question/4694425
  • brainly.com/question/4695279

#LearnwithBrainly

5 0
2 years ago
Y and x have a proportional relationship and y=9 when x=2 what is the value of y when x=3
Paladinen [302]
If they are proportional, then y/x should always be the same.

So 9/2= 4.5

We need to find the y value at x=3 to make y/x equal 4.5

4.5 = y/3

y = 4.5*3 = 13.5
3 0
3 years ago
Binomial Expansion/Pascal's triangle. Please help with all of number 5.
Mandarinka [93]
\begin{matrix}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\end{bmatrix}

The rows add up to 1,2,4,8,16, respectively. (Notice they're all powers of 2)

The sum of the numbers in row n is 2^{n-1}.

The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When n=1,

(1+x)^1=1+x=\dbinom10+\dbinom11x

so the base case holds. Assume the claim holds for n=k, so that

(1+x)^k=\dbinom k0+\dbinom k1x+\cdots+\dbinom k{k-1}x^{k-1}+\dbinom kkx^k

Use this to show that it holds for n=k+1.

(1+x)^{k+1}=(1+x)(1+x)^k
(1+x)^{k+1}=(1+x)\left(\dbinom k0+\dbinom k1x+\cdots+\dbinom k{k-1}x^{k-1}+\dbinom kkx^k\right)
(1+x)^{k+1}=1+\left(\dbinom k0+\dbinom k1\right)x+\left(\dbinom k1+\dbinom k2\right)x^2+\cdots+\left(\dbinom k{k-2}+\dbinom k{k-1}\right)x^{k-1}+\left(\dbinom k{k-1}+\dbinom kk\right)x^k+x^{k+1}

Notice that

\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!}{\ell!(k-\ell)!}+\dfrac{k!}{(\ell+1)!(k-\ell-1)!}
\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(\ell+1)}{(\ell+1)!(k-\ell)!}+\dfrac{k!(k-\ell)}{(\ell+1)!(k-\ell)!}
\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(\ell+1)+k!(k-\ell)}{(\ell+1)!(k-\ell)!}
\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(k+1)}{(\ell+1)!(k-\ell)!}
\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{(k+1)!}{(\ell+1)!((k+1)-(\ell+1))!}
\dbinom k\ell+\dbinom k{\ell+1}=\dbinom{k+1}{\ell+1}

So you can write the expansion for n=k+1 as

(1+x)^{k+1}=1+\dbinom{k+1}1x+\dbinom{k+1}2x^2+\cdots+\dbinom{k+1}{k-1}x^{k-1}+\dbinom{k+1}kx^k+x^{k+1}

and since \dbinom{k+1}0=\dbinom{k+1}{k+1}=1, you have

(1+x)^{k+1}=\dbinom{k+1}0+\dbinom{k+1}1x+\cdots+\dbinom{k+1}kx^k+\dbinom{k+1}{k+1}x^{k+1}

and so the claim holds for n=k+1, thus proving the claim overall that

(1+x)^n=\dbinom n0+\dbinom n1x+\cdots+\dbinom n{n-1}x^{n-1}+\dbinom nnx^n

Setting x=1 gives

(1+1)^n=\dbinom n0+\dbinom n1+\cdots+\dbinom n{n-1}+\dbinom nn=2^n

which agrees with the result obtained for part (c).
4 0
2 years ago
Evaluate tan 11 pi/6
Nadusha1986 [10]

Answer:

tan 11 pi dived by 6 is equal to -118.307586549

4 0
2 years ago
From a barrel of colored marbles, you randomly select 3 blue, 2 yellow, 7 red, 8 green, and 2 purple marbles. Find the experimen
svet-max [94.6K]
My guess is D. Not for sure though. 
3 0
3 years ago
Read 2 more answers
Other questions:
  • The first city is in the shape of a square
    13·2 answers
  • Difference between linear function and linear equation
    11·1 answer
  • Form the union for the following sets. M= { } N= { 6,7,8,9,10} M U N=
    10·1 answer
  • Someone please help!
    10·2 answers
  • Miki tosses a coin 50 times, and the coin shows heads 28 times. What fraction of the 50 tosses is heads? What percent is it
    5·1 answer
  • A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 ite
    13·1 answer
  • A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class? 15:28 13:15 O 13:28 15:13 Prev
    12·1 answer
  • Giải hộ bài này vs, làm ơn có hậu tạ ạ huhu
    11·1 answer
  • Kiara is covering part of this rectangular box with duct tape. She is covering the
    5·2 answers
  • The product of two consecutive odd integers is 255. Find the integers.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!