If the radius of the circle is 14 meters, find the length of arc RS

(brainliest given)

Answer:

6

Step-by-step explanation:

Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6

Answer:

5/9

Step-by-step explanation:

Solution

The gradient of the line ment when two segment given (X1, Y1) and (X2, Y1) is points

m =

[tex] \frac{y2 - y1}{x2 - x1 } [/tex]

Here two points given, (-5,-2) and (4,3)

gradient (m):

[tex] \frac{3 - ( - 2)}{4 - ( - 5)} [/tex]

Answer:

16

Step-by-step explanation:

[tex]8x-56=5x-8\\\\3x-56=-8\\\\3x=48\\\\x=16[/tex]

So, the number is 16

Answer:

30 again if I’m wrong then it’s 40

Step-by-step explanation:

most of the pizzas that are sold are in the 30’s or below

Answer:

3.7

Step-by-step explanation:

Given

Solving for cosθ

Finding tanθ

Verifying it lies in the range

The values of the numbers m and n that makes the given expression true are 3 and 12 respectively

From the question, we are to determine the values of the numbers m and n that will make the given expression true

The given expression is

(2x + m)² = 4x² + nx + 9

Opening the bracket on the left hand side,

(2x + m)²

(2x + m)(2x + m)

4x² + 2mx + 2mx + m²

4x² + 4mx + m²

∴ 4x² + 4mx + m² = 4x² + nx + 9

By comparing,

4mx = nx;

Then, 4m = n

and

m² = 9

∴ m = ±√9

m = ±3

Since we are given that both m and n are positive numbers,

∴ m = 3

Substitute the value of m into the equation, 4m = n

4×3 = n

∴ n = 12

Hence, the values of the numbers m and n that makes the given expression true are 3 and 12 respectively

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Hi Student!

In the question we are given two numbers and told to find the geometric mean of them.  A normal mean would be just taking the average by multiplying them against each other and dividing by two.  However, for geometric mean we multiply them against each other but put them inside of a square root.

[tex]mean = \sqrt{a*b}[/tex]

[tex]mean = \sqrt{40*30}[/tex]

[tex]mean = \sqrt{1200}[/tex]

[tex]mean = \sqrt{20^2*3}[/tex]

[tex]mean = 20\sqrt{3}[/tex]

Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].

Answer:

it's 1 L

Step-by-step explanation:

it's pretty easy just do some multiplication

Answer:

6

Step-by-step explanation:

that is because 6 is x and y is -3

Answer:

  see attached

Step-by-step explanation:

We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.

__

The applicable rules of logarithms are ...

We can apply these rules to the given expressions to solve for x algebraically.

__

Taking antilogs, we have ...

  (x -1)(5x) = 10^2 = 100

  x(x -1) = 20 . . . . . . . . . . . divide by 5

  x² -x -20 = 0 . . . . subtract 20, put in standard form

  (x -5)(x +4) = 0 . . . . factor

  x = 5  or  x = -4 . . . . . . the latter is an extraneous solution

  x = 5 only

__

Taking antilogs, we have ...

  x +5 = (x +1)(x -1)

  x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form

  (x -3)(x +2) = 0 . . . . factor

  x = 3  or  x = -2 . . . . . . the latter is an extraneous solution

  x = 3 only

__

Taking natural logarithms, we have ...

  x² = 4x +5

  x² -4x -5 = 0 . . . . . write in standard form

  (x -5)(x +1) = 0 . . . . factor

  x = 5  or  x = -1 . . . . values that make the factors zero

__

Taking antilogs, we have ...

  5x² +2 = x +8

  5x² -x -6 = 0 . . . . . write in standard form

  (5x -6)(x +1) = 0 . . . . factor

  x = 6/5  or  x = -1 . . . . values that make the factors zero

_____

Additional comment

A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)

We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.

Area = length x width

Length = x + 6 + x + 2 = 2x + 8

Width = x + 4 + x = 2x + 4

area = 2x + 8 * 2x + 4

multiply each term by each term

Area = 4x^2 + 24x + 32

Answer: I think this is correct but i'm not sure! the answer should be 48 im not sure though

Step-by-step explanation:

6 x 2 = 12 x 4 = 48

Answer:

A= 10

Step-by-step explanation:

[10 + 2/360˚(10)]

By applying the law of cosine, the smallest angle which the swimmers must turn between the buoys is 41.4°.

In order to determine the smallest angle which the swimmers must turn between the buoys, we would apply the law of cosine.

Given the following data:

Form the law of cosine, we have:

[tex]CosC =\frac{a^2 + b^2 - c^2}{2ab} \\\\CosC =\frac{500^2 + 600^2 - 400^2}{2 \times 500 \times 600}\\\\CosC =\frac{450000}{600000}\\\\C = cos^{-1} 0.75\\\\[/tex]

C = 41.4°.

For angle B, we have:

[tex]CosB =\frac{a^2 + c^2 - b^2}{2ac} \\\\CosB =\frac{500^2 + 400^2 - 600^2}{2 \times 500 \times 400}\\\\CosB =\frac{1}{8}\\\\B = cos^{-1} 0.125\\\\[/tex]

B = 82.8°.

For angle A, we have:

[tex]CosA =\frac{b^2 + c^2 - a^2}{2bc} \\\\CosA =\frac{600^2 + 400^2 - 500^2}{2 \times 600 \times 400}\\\\CosA =\frac{9}{16}\\\\A = cos^{-1} 0.5625\\\\[/tex]

A = 55.8°.

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The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%

We are given;

Sample size; n = 173

Number of people who had  a resting heart rate over 100 bpm = 47

Now, formula for true proportion is;

p' = x/n

where;

x represents the number of successes

n represents the sample size.

p′ is the sample proportion which is the point estimate for the true population proportion.

Thus;

p' = 47/173

p' = 0.2717

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Answer:

10.2956

Step-by-step explanation:

formula:

d = √((x2-x1)2 + (y2-y1)2)

(x1, y2) and (x2, y2)

 (-5,2) and (4,-3).

Find the difference between coordinates:

(x2-x1) = (4 - -5) = 9

(y2-y1) = (-3 - 2) = -5

Square the results and sum them up:

(9)2 + (-5)2 = 81 + 25 = 106

Now Find the square root and that's your result:

Exact solution: √106 = √106

Approximate solution: 10.2956

Answer: The final price is less than the original

Step-by-step explanation:

    Let us break this down a bit.

The original price is $500

-> At the beginning, the price was marked up by 20%

-> At the end, the price at the beginning of the season is marked down by 20%

    We are solving for: "How does the final price compare with the original price of $500​"

        First, we will find the price at the beginning.

-> Please note a percent divided by 100 becomes a decimal

20% / 100 = 0.2

$500 * 0.2 = $100

$500 + $100 = $600

     Now, we will find the price at the end.

$600 * 0.2 = $120

$600 - $120 = $480

     The final price is less than the original price of $500.

Answer:

Step-by-step explanation:

price marked up by 20%= 500+ [tex]\frac{20}{100}[/tex]×500

                                        =$600

price marked down by 20%= 600- [tex]\frac{20}{100}[/tex]×600

                                             =$480

the final price is less than the original price

Answer:

x≤5p

Step-by-step explanation:

40/8=5 Kaitlin can buy UP TO 5 pounds of candy at $8/pound. So she will buy less than or equal to 5 pounds

Answer:

well x-(-18) x+18 but the if part is x<-18 will stay the same

Step-by-step explanation:

Answer:

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Step-by-step explanation:

also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry

Answer:

Option A, rational numbers

Step-by-step explanation:

Step 1:  Determine which option is correct

Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal.  Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1.  The only option that makes sense is option A which includes whole numbers and decimals.

Answer:  Option A, rational numbers

Answer:

AB : XY = 2 : 3

Step-by-step explanation:

We know that :

So, if the areas ΔABC and ΔXYZ are in the ratio 4 : 9, then :

Answer:

C) SSA Similarity Theorem

Step-by-step explanation:

The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.

Answer:

12 ft - 2 ft = 10 ft

The rope is 10 feet long.

10 · cos 30° = 10 · √3 / 2 = 8.66 ft

x = 12 - 8.66 = 3.34 ft

Answer:

A ) 3.34 feet

Answer:

The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240

Answer:

10y^2 + 39y + 35

Step-by-step explanation:

Simplify using FOIL

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]

Therefore,

The required steps are explained below to convert the quadratic function into a perfect square.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c[/tex]

Add and subtract the half of the square the coefficient of x,

[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c[/tex]

Then we have

[tex]\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c[/tex]

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

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