Given one of the roots of the quadratic equation px2- 4x + 3p -8 =0 is 1 . Calculate the value of p

Answer:

sinB = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The Trigonometric ratios is 12/13

The branch of mathematics concerned with specific functions of angles and their application to calculations.

We have,

H= 13, B= 5 and P=12

So,

sin B= Perpendicular/ Hypotenuse

        = 12/13

hence, sin B=  12/13

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Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

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Answer:

D

Step-by-step explanation:

there is zero chance of it happening

Answer:

$88

Step-by-step explanation:

Randip's balance = initial deposit + sum of deposits - sum of withdrawals

sum of deposits = $34 + $15 = $49

sum of withdrawals =  $17 + $30 = $47

$86 + $49 - $47 = $88

Answer:

88

Step-by-step explanation:

Answer:

it changed to f(x)+7 because it has an asymptote of 7

Explanation:

We replace x with 3 and use PEMDAS to evaluate

8*x+23

8*3+23

24+23

47

Answer:

[tex]47[/tex]

Step-by-step explanation:

[tex]8x + 23[/tex]

[tex]8(3) + 23[/tex]

[tex]24 + 23[/tex]

[tex]47[/tex]

Answer:

Amount = £37

Step-by-step explanation:

Let Rose be represented by R.

Let Haydn be represented by H.

Given the following data;

Total amount = £250

Ratio of R:H = 2:3 = 2 + 3 = 5

To find how much Rose earned;

R = 2/5 * 250

R = 500/5

R = £100.

For Haydn;

H = 3/5 * 250

H = 750/5

H = £150

Next, we calculate the amount Haydn gave to charity;

Percent = 42% = 42/100 = 0.42

H = 0.42 * 150

H = £63

To find how much more Rose gave to charity than Haydn;

Amount = R - H

Amount = 100 - 63

Amount = £37

Answer:

10xsquared - 3x -18

Step-by-step explanation:

just multiply out and combine like terms

10xsqaured +12x -15x -18

= 10xsquared -3x -18

Answer:

[tex]{ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches[/tex]

Answer:

The picture is the answer

Step-by-step explanation:

Answer:

a/4b = 0.075

Step-by-step explanation:

a = 30% of b

a = 30/100 × b

a = 0.3b

The value of a/4b is calculated as:

= 0.3b/4b

= 0.075

Answer:

The answer is DE

Step-by-step explanation:

I learned about it in school.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

Given that, a circle, with center O, represents a radius of the circle.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

Here, DO and OC is the radius of a circle with center O.

The radius of a circle with center O is DO. Therefore, option B is the correct answer.

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Answer:

50/7 or 7 1/7

Step-by-step explanation:

Answer:

square root of 5 - 4

Step-by-step explanation:

Answer:

square root of 5 +4

Answer:

To find the value of x we need to simplify this.

The steps to simplifying are simple.

We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.

___________________________

Let's continue.

___________________________

Alright, let's go ahead and show our steps.

[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]

[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]

_____________________

[tex]Simplify = \\2=35\left(3x-32\right)[/tex]

_____________________

[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]

_____________________

[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]

_____________________

[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]

_____________________

[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]

_____________________

[tex]Simplify = \\x=\frac{374}{35}[/tex]

_____________________

Therefore, the answer is x = 374/35

Answer: I cant see the problem

Step-by-step explanation:

Answer:

Where is the question?

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

There are two possible outcomes when flipping a coin

heads or tails

P( tails) = number of favorable outcomes / total outcomes

            = 1/2

Answer:

p is tails and its saying you flip a fair coin, meaning you have a 50 50 chance which means you have a 50% chance of getting heads and same with tails.

Step-by-step explanation:

therefore, p is 0.5

have a great day!!

Answer:

False

Step-by-step explanation:

Answer:

y = 1/4x

Step-by-step explanation:

y = amount of cubic feet = 15 cubic feet

x = time taken = 60 seconds

y = kx

Where,

k = constant of proportionality

y = kx

15 = k * 60

k = 15/60

k = 1/4

The equation

y = kx

Where

k = 1/4

Becomes,

y = 1/4x

Answer:

the actual area of the room is 35 inches

Step-by-step explanation:

you have to multiply 7 by 5.

Answer:

62.8 mm

Step-by-step explanation:

pie = 3.14

radius = 10 mm

circumference of a circle = 2πr

=2*3.14*10

=62.8 mm

Answer:

2nd one : y = -4/x

3rd one : y + x/2 = 9

4th one

5th one : y = x^2

6th : 5.8x - y = 2.3

Step-by-step explanation:

Not sure about these. You might want to wait for another person to answer

Have a nice day!

Answer:

find the coordinates and then do subtract the first one, for example for line segment AB, do (1,6) and  (5,1)

(1,6) (5,1)

1-6 = -5

5-1 = 4

answer is -5/4 and that is the slope of the line.

Continue with the rest please like how i did the example

Answer:

Here are the step require to divide complex numbers:

Step 1:To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.Step 2:Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.Step 3:Simplify the powers of i, specifically remember that i2 = –1.Step 4:Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.Step 5:Write you answer in the form a + bi.Step 6:Reduce your answer if you can.

Example 1 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can’t reduce, so the final answer is:



  Example 2 – Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Click Here for Practice Problems

Example 3 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Click Here for Practice Problems

Example 4 - Divide: 

Step 1: To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.



Step 2: Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.



Step 3: Simplify the powers of i, specifically remember that i2 = –1.



Step 4: Combine like terms in both the numerator and denominator, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.



Step 5: Write you answer in the form a + bi.



Step 6: Reduce your answer if you can. In this case you can reduce the answer, so the final answer is:



Answer:

140 km

Step-by-step explanation:

according to scale on a map

1 m = 20 km

7 m = ?

7m = 20*7 km

=140 km

Answer:

713 puercos

Step-by-step explanation:

Sea T el número total de puercos

Número de cerdos = 57

Porcentaje = 8%

Para encontrar el número total de puercos;

Porcentaje = 8/100 * T = 57

8T/100 = 57

8T = 5700

T = 5700/8

T = 712,5 ≈ 713 puercos

Por lo tanto, el granjero tiene 713 puercos en total.

Answer:

The family of lines that are parallel to [tex]2\cdot x + y = 6[/tex] is of the form [tex]2\cdot x + y = k, \,k\neq 6[/tex]. A possible solution is [tex]2\cdot x + y = -2[/tex].

Step-by-step explanation:

Let be [tex]2\cdot x + y = 6[/tex] the equation of a line, another line is parallel to it if and only if it is of the form:

[tex]2\cdot x + y = k, \,k\neq 6[/tex]  (1)

Then, a possible solution is [tex]2\cdot x + y = -2[/tex].

9514 1404 393

Answer:

Step-by-step explanation:

A and the angle marked 48° are vertical angles, hence congruent.

  A = 48°

B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.

  B = 115°

C is an alternate interior angle with angle B, so is congruent.

  C = 115°

D is a vertical angle with the one marked 67°, so is congruent.

  D = 67°

E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.

  E = 48°