The circumference of the circle is 24 cm and the radius is √x+2. Find x and its radius. Use = 3.14 . Round your answer to two decimals.

Step-by-step explanation:

Is this helpful to you

support me

The probability that the selected number is even, multiple of 4 and prime are 7/15, 1/5 and 2/5 respectively

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given the following set

S=​{1, ​2, 3,​ 4,..., 15}

n(S) = 15

If the selected number is even

E = {2, 4, 6, 8, 10, 12, 14}

n(E) = 7

Pr(selecting even number) = n(E)/n(S)

Pr(selecting even number) = 7/15

If the selected number is a multiple of 4

E = {4, 8, 12}

n(E) = 3

Pr(multiple of 4) = n(E)/n(S)

Pr(multiple of 4) = 3/15 = 1/5

If the selected number is a prime number

E = {2, 3, 5, 7, 11, 13}

n(E) = 6

Pr(prime number) = n(E)/n(S)

Pr(prime number) = 6/15 = 2/5

Learn more on probability here: https://brainly.com/question/25870256

[tex]\dfrac{d}{dx} \csc(5x)\\\\=-\csc(5x) \cdot \cot (5x) \cdot \dfrac{d}{dx} (5x)\\\\=-5\csc(5x) \cdot \cot(5x)[/tex]

Answer:

angle S = 61

Step-by-step explanation:

triangles angles should all add up to 180.

so, if you do 68+51 it should equal 119

then you will do 180-119 which gives you 61.

Answer:

i believe the answer is 61

Step-by-step explanation:

I added the current angles together to get 119 and then subtracted 180 from it and got 61.

Answer:

I'm pretty sure the answer is 6½

There 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats.

We have to determine the number of grams of carbohydrates available in 2 1/4 cups of dry oats.

Let x grams of carbohydrates be available in 2 1/4 cups of dry oats.

As per the given information, we can write the ratio would be as:

27 grams of carbohydrates : 1/2 cup of dry oats = x grams of carbohydrates : 2 1/4  cup of dry oats

⇒ 27/ (1/2) = x/(2 1/4)

⇒ 27/ (1/2) = x/(9/4)

Reciprocal the term in the numerator,

⇒ 27 × 2 = x × 4/9

Apply the cross-multiplication operation,

⇒ x = 54 × 9/4

⇒ x = 121.50

Thus, there are 121.50 grams of carbohydrates are available in 2 1/4 cups of dry oats.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ab^x[/tex]

Here, x is the variable in the power of a number.

State the equation of the exponential function that has the following features.

[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]

For the point (-1,-3)

[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]

Put, the value of -1 in the above equation,

[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]

Thus, the exponential function,

[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]

Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.

Learn more about the exponential function here;

https://brainly.com/question/15602982

#SPJ1

Answer:

Answer:

[tex]\sf 9y^3(3-y)[/tex]

Step by step explanation:

[tex]\sf 27y^3-9y^4[/tex]

Factor out common term 9 :

[tex]\sf \implies 9(3y^3-y^4)[/tex]

Apply exponent rule [tex]\sf a^{bc}=a^{b+c}=a^ba^c[/tex] :

[tex]\sf \implies 9(3y^3-y^{1+3})[/tex]

[tex]\sf \implies 9(3y^3-y^1y^3)[/tex]

Factor out common term [tex]\sf y^3[/tex]:

[tex]\sf \implies 9y^3(3-y^1)[/tex]

Apply exponent rule [tex]\sf a^1=a[/tex] :

[tex]\sf \implies 9y^3(3-y)[/tex]

Answer:

Step-by-step explanation:

If the function f(x) is change to g(x) what transformation has occurred?

(5 Points)

f (x) = 3x - 7 and g (x) = 3x + 3

The graph of g is a vertical strecth.

The graph of g is 3 units above f

• The graph of g is 10 units above f

Step-by-step explanation:

Jacinta is completely right while Tess made a mistake on the 3rd step.

she mistakenly plugged in the y value as X, and plugged in the X value as y.

so Tess is incorrect

Answer,:

Answer and Explanation: 1

1.

Calculation for operating loss is shown below:

Break-even point in dollars = Cost + Operating expenses

Break-even point in dollars = $208.40 + (36% * $208.40)

Break-even point in dollars = $208.40 + $ 75.024

Break-even point in dollars = $283.424

Reduced price = Original price - (Original price * Mark down)

Reduced price = $292.60 - ($292.60 * 40%)

Reduced price = $292.60 - $117.04

Reduced price = $175.56

Operating loss = Break-even point in dollars - Reduced price

Operating loss = $283.424 - $175.56

Operating loss = $107.864

2.

Calculation of absolute loss is shown below:

Absolute loss = Cost - Reduced price

Absolute loss = $208.40 - $175.56

Absolute loss = $32.84

brain less plss

THIS ANSWER IS CORRECT

Step 1: Figure out how many years 2020 is after 1998

2020 is 22 years after 1998, therefore we should plug in 22 for x.

Step 2: Plug in known values

The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.

S - 1.5(22) = 5.1

Step 3: Solve

Now, all that's left to do is solve for S.

S - 1.5(22) = 5.1

S - 33 = 5.1

S = 38.1

Answer: 38.1 billion dollars

Hope this helps!

Step-by-step explanation:

let b represent the number of books

b×b×b

b3

Answer:

795.6?

Step-by-step explanation:

The Area of Bathroom is 391.714 square feet.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

Area of Gym = 2387 square feet.

Area of Bathroom is 7 times less than the area of the gym.

So, Area of Bathroom

7x = 2387 + 341

7x = 2728

x= 391.714

Learn more about area here:

https://brainly.com/question/27683633

#SPJ2

Answer:

1N

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

Force=100/1000kg×10m/s²=1N

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

-------------------------

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

----------------------------

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=10297\\ h=21 \end{cases}\implies 10297=\pi r^2(21)\implies \cfrac{10297}{21\pi }=r^2 \\\\\\ \cfrac{1471}{3\pi }=r^2\implies \sqrt{\cfrac{1471}{3\pi }}=r\implies 12\approx r[/tex]

Using the trigonometric ratios, the value of cos F in the right angle triangle is 0.28 .

Right angle triangle are triangle that has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore,

cos F = adjacent / hypotenuse

adjacent = FE

hypotenuse = 50

50² - 48² = FE²

FE = √2500 - 2304

FE = √196

FE = 14

Therefore,

cos F = 14 / 50

cos F = 0.28

learn more on right triangle here: https://brainly.com/question/6322314

Answer:

The answer is b- 1/4 = 4 3/4

Step-by-step explanation:

B stands for the total amount of chocolate bars they started with.

Gabby ate 1/4 of those chocolate bars.

4 3/4 of the chocolate bars were left after that.

So, total amount of bars - what Gabby ate =  chocolate bars that are left

b - 1/4 = 4 3/4

Answer:

Step-by-step explanation:

a.16×25×10×4

= 100 * 160

= 16,000

b,49×99​

= 49 * 100 - 49

= 4900 - 49

= 4,851.

Answer:

Cost Price = Marked Price -Discount - Profit

CP = 4000-400-400

Cost price = 3200

Rs. 3200

The answer iis in the above picture hope you like it. Pls mark brainliest

Answer:

it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)

Answer

i dont know i jus want the points

Step-by-step explanation:

if its diameter is 14, then its radius is half that or 7.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]

Answer:

[tex]1436.76... units^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a sphere.

[tex]V = \frac{4}{3} \pi r^3[/tex]

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

[tex]r = 14/2[/tex] [tex]= 7[/tex]

Now that you have the radius, all you need to do is plug it into the volume formula.

[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]

The ladder and the outside wall form a right triangle

The distance from the base of the ladder is 7.89 feet

The given parameters are:

Length (L) = 18 feet

Angle of elevation (θ) = 64 degrees

The distance (D) from the base of the ladder is calculated using the following cosine ratio

cos(θ) = D/L

So, we have:

cos(64) = D/18

Make L the subject

D = 18 * cos(64)

Evaluate the product

D = 7.89

Hence, the distance from the base of the ladder is 7.89 feet

Read more about right triangles at:

https://brainly.com/question/2437195

Answer:

x = 1 ± [tex]\sqrt2[/tex]

Step-by-step explanation:

Hope this helped! Have a nice day!
Please give Brainliest when you can.

- King Jaron

Answer:

162

Step-by-step explanation:

to find the surface area of the rectangles do base x height

5 x 10 = 50

there are 3 sides on a triangle so do 50 x 3 = 150

now we need to find the area of the triangles

the formula for the surface area would be base x height ÷ 2

3 x 4 = 12

12 ÷ 2 is 6

because there are 2 triangles you would need to multiply it by 2

6 x 2 is 12

add it all together

12 + 150 is 162