A book consists of 264 pages . Parul had read 3/4 of the book till yesterday . How many more pages she has to read?

Answer: 2.4 UNITS

Step-by-step explanation:

The sine rule :

Sine A / a = Sine B / b = Sine C / c

From the diagram attached :

QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?

We need to find the angle RQS

using Sine rule :

Sine R / r = Sine S / s

Sin 80° / 3.1 = sin S / 2.4

0.9848077 / 3.1 = sin S / 2.4

Sin S × 3.1 = 0.9848077 × 2.4

Sin S = 2.3635386 / 3.1

Sin S = 0.7624318

S = Sin^-1(0.7624318)

S = 49.67°

Therefore, form using ;

A + B + C = 180° ( SUM of angles in a triangle)

SQR = 180° - (QRS + QSR)

= 180° - ( 80 + 49.67)° = 50.33°

Q = 50.33°

THEREFORE,

Sine Q / q = Sin S / s

Sin 50.33° / q = Sin 49.67° / 2.4

0.7697339 / q = 0.7623295 / 2.4

0.7623295q = 0.7697339 × 2.4

q = 1.84736136 / 0.7623295

q = 2.4233108

q = Segment RS = 2.4units

Answer:

B) 2.5 is the right answer

Step-by-step explanation:

i got 100%

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

Answer:

x=84

Step-by-step explanation:

x÷4-6=15

x÷4=21

x=84

Answer:

Step-by-step explanation:

graph attached

Answer:

graph y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If 5x is a positive odd number, using 1 for x would satisfy this.

So the number of even numbers between 5(1) and 5(1)+6 would be the numbers between 5 and 11.

You have 6, 8, 10 between those numbers that are even

If you chose 3 for x instead:

5(3) and 5(3)+6 ; 15 and 21

These also have 3 even numbers between them, being 16, 18, and 20

There will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer.

An Odd Number is a number which is not divisible by 2.

It is given that

5x is a positive odd number

Every alternate term from the next term of 5x will be an even number

Upto 5x+6 , there will be

5x+1 , 5x+3 , 5x+5

For checking , let x = 1

The number will be 5 , the even number between 5 and 5+6 = 11 is asked

6 , 8 , 10

Therefore there will be 3 even numbers between  5x an 5x+6 , Option C is the correct answer

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Answer:

[tex]\large \boxed{\sf \ \ \ x-y=-2\sqrt{7} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

it took me some time to understand the correct equations, I believe that you mean

[tex]x+y=4\\\\x^2+y^2=22\\\\x^4=y^4-176\sqrt{7}[/tex]

So let's play with these equations

[tex]x^4=y^4-176\sqrt{7}\\\\<=>y^4-x^4=176\sqrt{7}\\\\<=>y^4-x^4=(y^2)^2-(x^2)^2=(y^2-x^2)(y^2+x^2)=(y-x)(y+x)(x^2+y^2)\\\\=176\sqrt{7}[/tex]

So

[tex]x-y=-\dfrac{176\sqrt{7}}{(x+y)(x^2+y^2)}=-\dfrac{176\sqrt{7}}{4*22}=-2\sqrt{7}=-5.291503...[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

15

Step-by-step explanation:

q-v

             substitute values for q and v

28-13

15 is your answer. Hope this helps.

Answer:

17.5 kg of water.

Step-by-step explanation:

The amount of alcohol in the 15% solution = 20*0.15 =  3kg.

If 3 kg is equivalent to 8% solution

then 100%  is  3*100 / 8 = 37.5 kg.

So the amount of water to be added to make 8% solution = 37.5 - 20

= 17.5 kg.

Answer:

The answer is d

Step-by-step explanation:

The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.

The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.

here, we have,

Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.

In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.

Thus, the place value of the 8 is 0.008, or 8 thousandths.

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Answer:

zero residual equals zero mean

A line of best fit is a straight line that shows the appropriate correlation among scatter plots of a given data. It is majorly used when the plotted points are not linear, it can be used to express the relationship between dependent and independent variables.

The sum of the residuals should be close to zero because it shows that the line of best fit is accurately drawn. Thus, it implies that there is a linear relationship between the two variables. Since he residual is close to zero, the graph could be said to be a linear graph.

Answer:

m∠x = 65°

m∠y = 81°

m∠z = 34°

Step-by-step explanation:

Since we have 2 transversals and a pair of parallel lines, we can see that at ∠A it equals 65°. If we use the Corresponding Angles Theorem, the m∠A = m∠x. Therefore, x = 65°

To find y, we know that a line is 180°. So, 180 - (65 + 34) = 81°

To find z, we know that all angles in a triangle add up to 180°. So, 180 - (81 + 65) = 34°. Alternatively to find z, we could use Alternate Interior Angles Theorem.

Hey there! :)

Answer:

6x³ + 14x² + 6x - 12.

Step-by-step explanation:

Given:

(2x² + 6x + 6)(3x - 2)

Multiply each term in the first polynomial by both terms in the second:

3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =

6x³ + 18x² + 18x - 4x² - 12x -12 =

Combine like-terms:

6x³ + 14x² + 6x - 12.

Answer:B

Step-by-step explanation:

Answer:

The other factor is (x + 2).

Step-by-step explanation:

If x - 10 is a  factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x.  That factor is (x + 2):

x^2 - 8x - 20 = (x - 10)(x + 2)

As a test, multiply -10 and +2.  We get -20, matching the constant of the given polynomial.  Also, -10x + 2x = -8x, another match.

Answer:

(x-12) and (x+12)

Step-by-step explanation:

Answer:

Uncle is 34. Nephew is 10.

Step-by-step explanation:

Let u equal the age of the uncle, and n equal the age of the nephew.

First, two years ago, the sum of their ages was 40. We can represent this by subtracting 2 from each variable. Thus:

[tex](u-2)+(n-2)=40[/tex]

[tex]u+n-4=40[/tex]

[tex]u+n=44[/tex]

Next, in two years time, the uncle will be three times as old as his nephew. We can represent this by adding 2. Thus:

[tex]u+2=3(n+2)[/tex]

We now have a system of equations and can solve accordingly.

First, from the first equation, we can determine that:

[tex]u=44-n[/tex]

We can substitute this into the second equation.

[tex](44-n)+2=3(n+2)[/tex]

[tex]46-n=3n+6[/tex]

[tex]40=4n[/tex]

[tex]n=10[/tex]

Thus, the nephew's age is 10.

And the uncle's age is 44-10 or 34.

Answer: A

Step-by-step explanation:

2x²-2x-9=0

this is a quadratic equation so we will use the quadratic formula .

 Δ= b²-4*a*c

let's calculate Δ to khow how many solutions this equations have .

 Δ= (-2)²-4*2*(-9)

    = 76

 we notice that 76>0

so this equation has two solutions :  (-b-√76)/4 and (-b+√76)/4

the trick here is to notice that :

[tex]\sqrt{76}[/tex] = [tex]\sqrt{19*4}[/tex]

      = [tex]\sqrt{19} *\sqrt{4}[/tex]

      = 2[tex]\sqrt{19}[/tex]

Now we will simplify Δ by factoring by 2

so the answer is a .

Answer:

Total number of flash = 50 flash

Step-by-step explanation:

Given:

Time taken of a flash = 3/5 minute = 3/5 × 30 = 36 sec

Total time = 30 minute = 30 × 60= 1800 sec

Find:

Total number of flash in 30 minutes

Computation:

⇒ Total number of flash = Total time / Time taken of a flash

⇒ Total number of flash = 1800 / 36

⇒ Total number of flash = 50 flash

Answer:

Step-by-step explanation:

It appears from our choices that this is a linear function, a line in the form

y = mx + b

We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).

Using the slope formula twice to make sure this is in fact linear:

and between the next set of coordinates:

Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:

y - 66 = 11(x - 4) and

y - 66 = 11x - 44 and

y = 11x + 22, choice C.

y = 11x + 22

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

Answer:

a. 24

b. 864

Step-by-step explanation:

a. The demand function is:

P = 60 - 2Q

When P = 12:

12 = 60 - 2Q

2Q = 60 - 12

2Q = 48

Q = 48/2 = 24

b. Consumer surplus is given as the integral of Demand function:

[tex]CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\[/tex]

This implies that:

[tex]CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864[/tex]

Answer:

16/64 i think

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Total Marks = 64

Correct = 48

Incorrect = 64-48

=> 16

Fraction of Incorrect Answers:

=> [tex]\frac{16}{64}[/tex]

In simplest form:

=> [tex]\frac{1}{4}[/tex]

The question is not typed properly! Complete question along with answer and step by step explanation is provided below.

Question:

Scores on the Critical Reading part of the SAT exam in a recent year were roughly Normal with mean 495 and standard deviation 118 .

You choose an SRS of 100 students and average their SAT Critical Reading scores. If you do this many times, the standard deviation of the average scores you get will be close to

a. 118

b. 118/100=1.18

c. 118/√100= 11.8

d. cannot be determined

Answer:

The standard deviation of the sample would be  

[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]

The correct option is (c)

Therefore, the standard deviation of the average scores you get will be close to 11.8

Step-by-step explanation:

From the given information,  

The population mean SAT critical reading score is

[tex]\mu = 495[/tex]

The population standard deviation is

[tex]\sigma = 118[/tex]

You choose an SRS of 100 students and average their SAT Critical Reading score.

[tex]n = 100[/tex]

Since the sample size is quite large then according to the central limit theorem,

The mean sample will be the same as the population mean  SAT critical reading score.

[tex]\bar{x} = \mu = 495[/tex]

The standard deviation of the sample would be  

[tex]s = \frac{\sigma}{\sqrt{n}} \\\\s = \frac{118}{\sqrt{100}} \\\\s = 11.8[/tex]

The correct option is (c)

Therefore, the standard deviation of the average scores you get will be close to 11.8

Answer: 48

Step-by-step explanation:

The share of sand in the mixture is 3/7

To make 112 kgs. of concrete, he will need

3/7 x 112 = 48 units of sand

Answer:

solution,

Ratio of cement:sand:aggregate

=1:3:3

Total of ratios=1+3+3

=7

Total concrete=112 kg

Amount of sand required:

[tex] \frac{ratio \: of \: sand}{total \: ratio} \times amount \: of \: concrete \\ = \frac{3}{7} \times 112 \\ = 48 \: kg[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

-4

Step-by-step explanation:

y = -4x + 6 is the equation and -4 is the slope

Answer:

C, D, and F

Step-by-step explanation:

The roots of the cubic polynomial are 1, (5+√17)/2, and (5-√17)/2 options (C), (D), and (F) are correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a cubic or third-degree polynomial:

F(x) = x³ - 6x² + 7x - 2

To find the all possible roots of the cubic polynomial

By using the trial and error method:

Plug x = 1

F(1) = 1 - 6 + 7 - 2

F(1) = 8 - 8

F(1) =0

x = 1 is one of the roots of the polynomial.

We can write the cubic polynomial in the factored form:

F(x) = (x - 1)(x² -5x + 2)

We have a quadratic polynomial:

= x² -5x + 2

To find the roots of the quadratic polynomial use the quadratic formula:

a= 1, b = -5, and c =2

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\rm x = \dfrac{-(-5) \pm\sqrt{(-5)^2-4(1)(2)}}{2(1)}[/tex]

After solving:

x = (5+√17)/2

x = (5-√17)/2

Thus, the roots of the cubic polynomial are 1, (5+√17)/2, and (5-√17)/2 options (C), (D), and (F) are correct.

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4                    1                    1

---  kg    x    -----      =         ------   kg = 0.05 kg = 50 g

10                    8                  20

Answer:

x = 4

Step-by-step explanation:

We can find RT

sin theta = opposite / hypotenuse

sin 60 = 2 sqrt(3) / RT

RT = 2 sqrt(3) / sin 60

RT = 2 srt(3) / ( sqrt(3) / 2)

RT = 4

tan theta = opp/ adjacent

tan 45 = x / RT

tan 45 = x / 4

4 tan 45 = x

4 * 1 = x

4 = x

Answer:

  On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.

It appears your only function is ...

  On a coordinate plane, a v-shaped graph opens up.

Answer:

 On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

Good luck everybody and have a great day :D

Answer:

The mean of the following set of data would be 807.5

Step-by-step explanation:

mean: 806 + 809 = 1,615 ÷ 2 = 807.5

Basically, you just have to add the two numbers in the set of data or the listed numbers...

Then you have to divide it with the total amount of numbers there are in the set of data.  In this problem it would be 2 since there are only 2 numbers in the set of data.

Step-by-step explanation:

mean is total÷no.

806+809=1615, the total, the no. is 2

1615÷2=807.5

The simplest way

Answer:

190 Baseballs

Step-by-step explanation:

Since he put 304 baseballs into 8 trash cans with an equal amt. in each,

--> we do 304/8 to find how much baseballs we put in each

=> 304/8 = 38

Now, we takes 5 of these 38 trash cans filled with balls to the field

--> we would do 5 x 38 => 5 x 38 = 190

and Thus, we have our answer of 190 baseballs

Hope this helps!