Type the correct answer in the box. Round your answer to two decimal places.

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:

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:

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: 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:

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:

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:

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:

1 container and 14 cups

Step-by-step explanation:

We know that 1 quart = 4 cups

therefore, 12 quart = 48 cups

each container has 34 cups

so one container would be full and remaining 48-34 =14 cups can be filled in another container.

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:

(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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Answer:

the answer is 9.95h+ 5 < 125

Step-by-step explanation:

Answer:

x^2-16x+48

Step-by-step explanation:

Use foil,

x^2-12x-4x+48

x^2-16x+48

Answer:

1 1/4 or 5/4

Step-by-step explanation:

Answer:

what do you need?

Step-by-step explanation:

is there like a photo or something?

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:

it's going to be 3 and 6

Step-by-step explanation:

hope this one is right :)

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:

y=-2x+3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-2(x-4)

y+5=-2x+8

y=-2x+8-5

y=-2x+3

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:

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:

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:

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