Can someone solve these rational expressions showing work thanks

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

circumference =[tex]2\pi r[/tex]

Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m

we have the circumference of the inner circle which is 270.04 we can find the value of m using that

[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]

the radius of the inner circle is therefore 42.98

and the full circle has a radius off 65.02

area of shaded region = area of full circle - area of inner circle

area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]

area of shaded region = [tex]13281.39 - 5803.4[/tex]

area of shaded region = 7478 rounded off to the nearest whole number

Answer:

x=9 and x=-5

Step-by-step explanation:

x^2-4x-45=0

(×-9)(x+5)=0

x=9 and x=-5

Answer:

I can barely see it can you make it bigger somehow

Step-by-step explanation:

Answer:

it is less than, greater than, equal to, and less than

Step-by-step explanation:

if the numerator is greater than the denominator the fraction is greater than 1 and therefore you will have a number greater than 3827, if the numerator is less than the denominator the fraction is less than 1 and you will have a number less than 1, if the numerator and denominator are equal the fraction is equal to 1

Answer:

2.  3,827 > 8/3   3.  3,827 > 8/8     4.  3,827 > 3/5

Step-by-step explanation:

In problem 2. 8/3 as a decimal is 2.6 so that means 3,827 is greater. In problem 3. 8/8 as decimal is 1 so that means 3,827 is greater. In problem 4. 3/5 as a decimal is 0.6 so that means 3,827 is greater. i hope this helps have a good day :)

Answer:

1) 3n = 15

Step-by-step explanation:

Answer:

1, 2, 3, 6, 9, 18, 27, 54

Step-by-step explanation:

Answer:

4,7,10,13,16

Step-by-step explanation:

I sub

Answer:

Step-by-step explanation:

By definition, we will see that y is a binomial variable.

Here the variable "y" represents:

y = "number of kings drawn"

When we draw 7 cards out of a 52 cards deck.

So there are 5 possible values of y:

A binomial variable is a variable that represents two outcomes, for example, if we used the variable x = "drawing a king" 7 times, then x is a binomial variable, because it has two outcomes, or you draw a king, or you don't.

A binomial variable can also represent the number of outcomes of each type for several events like x (the one defined above). This is what y does, it counts how many times the outcome of "x" is "drawing a king" for a sequence of 7 draws.

Then y is a binomial variable.

If you want to learn more about binomial distributions, you can read:

https://brainly.com/question/7283210

Answer:

subtract 12 from both sides of the equal sign

-since you are trying to find h

Answer:

8100/1800 = 4.5 days

Step-by-step explanation:

The table is linear because it goes up at a consistent rate each time.

Answer:

A

Step-by-step explanation:

Answer:

Im gona guess C but im not 100%

Step-by-step explanation:

Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).

That angle ladder makes with the ground = €

SOH: sin € = opposite/hypotenuse

No the ladder won't be safe!!!

Now let's make it safe:

The ladder's length (w) is constant, so stays 12

So now let's ask in an inequality what height will be safe (75° or less)

what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!

Hope that helps! :-D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Required equation is in the form of:

In terms of this question:

Answer:

11 cm

Step-by-step explanation:

a= l x w

88= l x 8

88/8= 11

so ll cm is the width of the napkin

Answer:

18,24,30

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

because that the hypotenuse 30 adjacent 18 and opposite 24

Answer:

its 7.5 pi

Step-by-step explanation:

The length of the arc of the particle circle is equal to  23.55 units

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle

Arc length = 5×3π/2

                  = 15π/2

                  = 15×3.14 /2

                  = 23.55 units

Hence The length of the arc of the particle circle is equal to  23.55 units

Learn more about circumference of the circle here:

https://brainly.com/question/14200825

#SPJ2

Answer:

Value of t = 2 when value of s = 0

Value of t = 6 when value of s = 1

Value of t = 10 when value of s = 2

Value of t = 14 when value of s = 3

Step-by-step explanation:

Given Equation:

t = 4s + 2

Complete the table if values of s are as follows;

s = 0

s = 1

s = 2

s = 3

Computation:

t = 4s + 2

By putting s = 0

So,

t = 4s + 2

t = 4(0) + 2

t = 0 + 2

Value of t = 2 when value of s = 0

By putting s = 1

So,

t = 4s + 2

t = 4(1) + 2

t = 4 + 2

Value of t = 6 when value of s = 1

By putting s = 2

So,

t = 4s + 2

t = 4(2) + 2

t = 8 + 2

Value of t = 10 when value of s = 2

By putting s = 3

So,

t = 4s + 2

t = 4(3) + 2

t = 12 + 2

Value of t = 14 when value of s = 3

The rectangular prism is made up of the dimensions

Lenght = 4 cubes

Width = 2 cubes

Height = 4 cubes

The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:

[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]

Therefore, She need 32 cubes to make the prism.

Answer:

23

Step-by-step explanation:

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

Comparing this with x√3, we find x = 10.

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

if so please give me a brainlist

Answer:

The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice

Step-by-step explanation:

The given parameters are;

The volume of the concentrated orange juice = 12 fluid ounce cartons

The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces

The amount of orange juice James need = 4.5 gallons = 576 fluid ounces

Therefore;

The  ratio of orange juice concentrate to water is 12:36

Therefore;

Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;

x + y = 4.5 (gallons)...(1)

x:y = 12:36 = 1:3

∴ x/y = 1/3

3·x = y...(2)

From equation (1) and equation (2), we have;

x + y = 4.5

x + 3·x = 4.5

x = 4.5/4 = 1.125

x = 1.125

The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons

∴ y = 3 × x = 3 × 1.125 = 3.375

y = 3.375

The amount of water in the 4.5 gallons of orange juice, y = 3.375

Therefore, we have;

4.5 gallons = 576 fluid ounces

∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces

The amount of fluid ounces per carton = 12 fluidounces/carton

∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons

The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons

The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice

The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.

Answer:

17

Step-by-step explanation:

In 4z -5y, substitutte 8 for z and 3 for y, obtaining:

4(8) - 5(3) = 32 - 15 = 17

Answer:

17

Step-by-step explanation:

When you have a  number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.

4z-5y

when z=8 and y=3

The equation really is

4 times 8 - 5 times 3

4 times 8 is 32

5 times 3 is 15

15-32

15-32= 17

Answer:

              [tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]

Therefore the formula:

                                     [tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]

Answer: -1/5

Step-by-step explanation:

Answer:

The second one -1/5.

Step-by-step explanation:

1-2=-1 for y and 10-5=5 for x -1/5.

Answer: -2

x=-G-1= -2

4log(2)

Step-by-step explanation:

Answer:

it is 75% sheeeesh. jdjdjd

Step-by-step explanation:

3/4

Answer:

75%

Step-by-step explanation:

Let the answer be 'x'

40 × x/100 =30

40x/100 = 30

40x= 3000

x =3000÷40

x= 75

thus 30 is 75% of 40