Angle PQR is a right angle.
The measure of angle SQR is 35°.
The measure of angle PQS is x° .
What’s the value of x ?

Answer:

sin 2 ( x )  ⋅  sin 2 ( x )  cos 2 ( x )  →  sin 2  ( x )  tan  2 ( x )

Step-by-step explanation:

Assuming  tan  = 2 ( x ) − sin 2 ( x ) = tan 2 ( x ) sin 2 ( x ) ,

tart off by rewriting  tan 2 ( x )  in to its  sin ( x ) and cos ( x )  components.

 sin 2 ( x ) cos 2 ( x ) − sin 2 ( x )  

Next find a common denominator

(LCD:

cos 2 ( x )⋅ 1 ) sin 2( x )  cos 2 ( x )  ⋅  ( 1 1 )  −  sin 2 ( x )  ⋅ cos 2 ( x )  cos 2 ( x )  →  sin 2 ( x )  cos 2 ( x )  −   sin 2 ( x ) cos 2 ( x )  cos 2 ( x )  

Combine in to a single fraction and factor out a

 sin 2  ( x)  .   sin 2 ( x )  −  sin 2 ( x )  cos 2 ( x ) cos 2 ( x ) →  sin 2 ( x)  ⋅  sin 2 ( x ) cos 2 ( x )

Finally just rewrite  sin 2 ( x )  ⋅  sin 2 ( x )  cos 2 ( x )  →  sin 2  ( x )  tan  2 ( x )

Answer:

The excluded value is x = 5/6

Step-by-step explanation:

Here, we want to calculate the excluded value

The excluded value is simply the value of x that will make the denominator of the fraction equals zero

We have this as;

6x -5 = 0

6x = 5

x = 5/6

Answer:

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

If 60 percent represents the 48 students , then the total number of student is 80

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Represent the total number of students by x;

therefore, 60/100 × x = 48

= 60x/100 = 48

60x = 4800

divide both sides by 60

x = 4800/60

x= 80

therefore the total number of students in the math fair is 80

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Answer:

Irrational because it is a decimal that doesn´t repeat or terminate

Step-by-step explanation:

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

Answer:

The correct answer is -3.9> -4.5

Step-by-step explanation:

Answer: A

Step-by-step explanation: Took the test |

                                                                     \/

The quadratic equation that best fits this data would be A.

[tex]y=-56.80x^2+437.91x-65.5[/tex]

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

The given data is follows as;

x y

1 350

2 539

3 678

4 875

5 690

6 502

The quadratic equation that best fits this data

A. [tex]y=-56.80x^2+437.91x-65.5[/tex]

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Answer:

x=-0.35 or x=2.85

Step-by-step explanation:

2x^2-5x+1=3

2x^2-5x-2=0

use quadratic formula

x=(5±√41)/4

decimals = x=-0.35 or x=2.85

Answer:

option D

Step-by-step explanation:

I took the test

Answer:

Here we can see that two lines are intersecting so that the angles formed will be vertically opposite angles,

Thus, the value of both angles will be equal

i.e., x+3 = 84

⇒ x = 84 - 3

⇒ x = 81

Thus the value of x is 81

Answer:

Z = 13

Step-by-step explanation:

Both of the angles should equal 90.

2z + 5 + 5z - 6 = 7z - 1

7z - 1 = 90

7z - 1 + 1 = 90 + 1

7z = 91

7z ÷ 7 = 91 ÷ 7

Z = 13

Hope that helped you and have a wonderful day!

Answer:

Cylinder - The formula for the volume of a cylinder is V=Bh or V=πr2h

Cone - The formula for the volume of a cone is V=1/3hπr²

Hope this helped <3

Answer:

24

Step-by-step explanation:

20           x

----    =    ----

25          30

Cross Multiply (20, 30 and 25, x)

25x = 600

Divide both sides by 25

x = 24

Answer: 420 cm

Step-by-step explanation:

To find the volume of a shape you have to multiply the length times the width times the height.

6*7*10=420

Answer:

53 degrees

Step-by-step explanation:

If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.

Answer:

53

Step-by-step explanation:

Hello There!

So in this problem they give us two angles of a triangle and want us to find the missing angle

Remember the sum of all of the angles in a triangle is 180

So to find the missing angle we subtract the given angles from 180

180-25-102=53

so we can conclude that the answer is 53

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

Answer:

7.03 seconds

Step-by-step explanation:

First, you need to differentiate the equation (The derivative of y represents the rocket's velocity):

y' = 32x + 225

Then, set y' to 0 and solve for x

0 = 32x + 225

x = 7.03s

Answer:

it's going to be 3 and 6

Step-by-step explanation:

hope this one is right :)

Answer:

c-270

Step-by-step explanation:

To rotate counterclockwise on a coordinate graph, 90 degrees would put you in quadrant I, so you continue 90 degree rotations until you get to quadrant III.

Hope this helps :)

Answer:

x^2-16x+48

Step-by-step explanation:

Use foil,

x^2-12x-4x+48

x^2-16x+48

Answer:112

Step-by-step explanation:

Answer:

I dont know sorry

Answer:

it has to be b I don't know for sure tho

Answer:

A. So assuming we are dealing with displacement

20 + 16 = 32 m

B. 20 - 16 = 4m

C. 5 - 16 = - 11m

D. - 9 + 11 = 2m

E. - 9 - 11 = - 20m

Answer:

what do you need?

Step-by-step explanation:

is there like a photo or something?

Answer:

11

Step-by-step explanation:

the 3 numbers are 9, 10, 11

Answer:

Third number = 11

Step-by-step explanation:

Let 3 consecutive numbers be x ,x +1 , x +2

x +x+1  + x+ 2 = 30

x +x +x + 1 + 2 = 30       {Combine like terms}

     3x + 3 = 30      {Subtract 3 from both sides}

          3x   = 30 - 3

          3x = 27    {Divide both sides by 3}

            x = 27/3

x = 9

Third number =x + 2 = 9 + 2 = 11

Answer:

115miles

Step-by-step explanation:

Given the function of the distance remaining represented by the function

f(x) =250-45x where;

x is the time taken in hours

Since we are not told what to loom for, we can calculate the distance remaining after 3hrs.

Substitute x =3 into the equation

f(3) = 250-45(3)

f(3) = 250-135

f(3) = 115

Hence the distance remaining after 3 hrs is 115miles

Answer:

(x + 5)(x - 7)

Step-by-step explanation:

x² - 2x - 35

Now we need to find two numbers whose product will be 35 and sum or difference will be 2. They are 7 and 5.

7 x 5 =35

7 - 5 = 2

So

= x² + 5x - 7x - 35

Taking x common from 1st two terms and -7 from last two.

= x(x + 5) - 7(x + 5)

Taking (x + 5) common

= ( x + 5)(x - 7)

The trinomial x² - 2x - 35 can be factored into the product of two binomials, (x - 7) and (x + 5).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The trinomial is given in the question, as follows:

x²- 2x - 35

The trinomial x² - 2x - 35 can be factored as (x - 7)(x + 5). To see this, we can find two numbers that multiply to -35 and add up to -2. These numbers are -7 and 5.

To factor the trinomial, we write:

x² - 2x - 35 = (x - 7)(x + 5)

So, the trinomial x² - 2x - 35 can be factored into the product of two binomials, (x - 7) and (x + 5).

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