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3 years ago

Simplify\:\frac{\sqrt{5}}{\sqrt{3}}

Mathematics

1 answer:

avanturin [10]3 years ago

7 0

$\dfrac{\sqrt 5}{\sqrt 3} =\sqrt{\dfrac 53} \approx 1.291$

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How to write a polynomial in standard form

Setler79 [48]

Step-by-step explanation: Standard form is when we take a polynomial and we write it in order from the greatest degree to the smallest degree.

Let's look at an example which I provided in the image attached.

In this polynomial, I have 2 degrees, 1 degree, and 1 degree above the x.

This is not in the form of least to greatest so I need to write it in descending order. Our constant which in this is 27 will be last in polynomial.

So, you look at the degree of each term and then write each in term in order of degree from greatest to least (descending order).

5 0

3 years ago

A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces. They have 422 square feet

Lesechka [4]

Answer:

169 sections

Step-by-step explanation:

A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces

The area of the 0.5×5 square foot pieces

Area= 0.5*5.

Area= 2.5 square feet

They have 422 square feet of floor on which to install the hardwood.

Number of sections to be purchased

= 422/2.5

= 168.8 sections

Approximately= 169 sections

6 0

3 years ago

Sin230°= 1. sin130° 2. -sin50° 3. sin50°

belka [17]

Answer:

cosine30

Step-by-step explanation:

3 0

3 years ago

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

maxonik [38]

Answer:

Total weight of the wheat placed on 45th square will be = $1.26\times 10^{6}tons$

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = $a(r^{n-1})$

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

$1\times (2^{45-1})$ = $2^{44}$ = $1.76\times 10^{13}$

Then the weight of wheat will be = $2.51\times 10^{9}pounds$ = $1.26\times 10^{6}tons$

7 0

3 years ago

Round of 0.016668correct to three significant figures

Dmitry_Shevchenko [17]

0.0167

Since the decimal is present, start from the left side of the number and move to the right until you hit the first Non-Zero number. That number will be the first significant figure, and the number you will start counting from. That’s the first, the second is next, and lastly the third. You round the LAST significant figure, in this case a 6 followed by a 6, meaning you round UP.

6 0

2 years ago