The perimeter of a rectangular pool is 60 ft. It is 10 1/2 feet wide. How long is the pool?

Answer:

The correct option isn't shown on the image.  I have attached a DESMOS graph with the option listed, and added an approximate equation that comes close to the actual line.  This should aid in understanding the equations and lines.

Step-by-step explanation:

See attached image.

The one option is noted as the first equation.  I added two points from the line provided: (0,-2.5) and (3.5,0) and then approximated an equation that comes closer.  I simply chose 3x-4y=>10, and it comes close to the actual line that goes through the two given points.

To do this properly, find the equation, y=mx+b, of the given line using the two points selected:

Slope, m is rise/run:

Rise = 2.5

Run = 3.5

Slope = 2.5/3.5

y-intercept, b, is -2.5

The equation of the given line is y = (2.5/3.5)x - 2.5

We can rewrite this in the form the answer options are given, or rearrange the answer options to standard form in order to make the comparison.  

Hopefully this will help guide to the correct solution.

The length of this pendulum that makes one full swing is 3.93 meters.

Mathematically, the time taken by this pendulum is given by this formula:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Making L the subject of the formula, we have:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}\\\\32T^2=4\pi ^2L\\\\L=\dfrac{32T^2}{4\pi ^2}\\\\[/tex]

Substitute all the values in the formula

[tex]\rm L=\dfrac{32T^2}{4\pi ^2}\\\\ L = \dfrac{32 \times 2.2^2}{4 \times 3.14 ^2\\}\\\\ L =\dfrac{154.88}{39.43}\\\\L=3.93 \ m[/tex]

Hence, the length of this pendulum that makes one full swing is 3.93 meters.

Read more about pendulum here:

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Answer:

Basically if your coming from edge its 4 ft so B

Step-by-step explanation:

Answer:

f(x)=8,000(0.08)

Step-by-step explanation:

I am not 100% sertin but 8% = 0.08 so to find the percentage you would just multiple that by the given 8,000.

Answer:

1/8

Step-by-step explanation:

Generally, rulers, yardsticks and tape measures are marked in 16ths 8ths and quarter inches

Answer:

1/8

Step-by-step explanation:

that is the answer

Answer:

4(17+5)

Step-by-step explanation:

GCF is 4

68/4 = 17

20/4 = 5

so,

4(17+5)

Answer:

119

Step-by-step explanation:

I did the math on a calculator

Step-by-step explanation:

solve for y pretty much just move the negative x and turn it into a positive x because from there now you have a solid variable solved and you can just plug into the y so 3x - 2 x - 3 that'll be your equation then just do what you would normally do for a distributive multi-step equation and then take the answer you get from that and plug it into your newly solved simple equation which would be y = x - 3 that's as far as I'm going to get you but I do hope this helps

Answer:

(6, 3 )

Step-by-step explanation:

3x - 2y = 12 → (1)

- x + y = - 3 → (2)

multiplying (2) by 2 and adding to (1) will eliminate y

- 2x + 2y = - 6 → (3)

add (1) and (3) term by term to eliminate y

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) - 2y = 12

18 - 2y = 12 ( subtract 18 from both sides )

- 2y = - 6 ( divide both sides by - 2 )

y = 3

solution is (6, 3 )

Answer:

C. 3((x+4) + (x-2))

Step-by-step explanation:

Area of a triangle: [tex]\frac{1}{2}bh[/tex]

Area of the left triangle:

[tex]\frac{1}{2}(x+4)(6)[/tex]

The 6 multiplied by the 1/2 equals 3, so:

[tex]A = 3(x+4)[/tex]

Area of the right triangle:

[tex]\frac{1}{2}(x-2)(6)\\[/tex]

Again, the 6 multiplied by the 1/2 equals 3, so:

[tex]A= 3(x-2)[/tex]

Adding the two areas together equals:

[tex]3(x+4) + 3(x-2)[/tex]

We can factor out the 3 from both, giving us the final answer:

[tex]A = 3((x-4)+(x-2))[/tex]

Answer:

15

Step-by-step explanation:

the arrow is showing exactly in-between the 10 and 20 which means it is 15

a) 66%

b) 42%

hope it really helps..!!!

Answer:

6283.2

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

=[tex]=\pi *10^{2} *20[/tex]

=6283.18531

=6283.2(correct to the tenths place)

Answer:

6,283.2 in^3

Step-by-step explanation:

The volume formula for a cylinder is V = (pi)r^2*h

and in this case r = 10 in, h = 20 in

so the volume of this cylinder is

V = 3.14159(10 in)^2*(20 in) = 6,283.2 in^3

for given Triangle

sin A = cos B is always

Costuet

Hence option d is career

                                                                    [tex]given\ \ \ \ \ < C=90\textdegree[/tex]

[tex]In\ \Delta\ ABC;\ \ \ \ \ < A+ < B+ < C=180[/tex]

                                  [tex]A+B=180-C[/tex]

                                  [tex]A+B=180-90=90[/tex]

                                         [tex]A=90-B[/tex]

                [tex]taking\ sine\ on\ noth\ side[/tex]

                             [tex]sin\ A=sin(90-B)\\ sin\ A=cos\ B[/tex]

               [tex]Henee\ ophon\ 'd'\ is\ cgrrect.[/tex]

I hope this helps you

:)

Answer:

see explanation

Step-by-step explanation:

(1)

f(x) = g(x) , that is

- x² + 3x - 2 = - x + 1 ( add x to both sides )

- x² + 4x - 2 = 1 ( subtract 1 from both sides )

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

(2)

let x and y be the 2 numbers : x > y , then

x + y = 217 → (1)

x - y = 85 → (2)

add the 2 equations term by term to eliminate y

2x + 0 = 302

2x = 302 ( divide both sides by 2 )

x = 151

substitute x = 151 into (1)

151 + y = 217 ( subtract 151 from both sides )

y = 66

the 2 numbers are 66, 151

Answer:

0.333333333kilograms

Step-by-Step explanation:

3 x 4 = 12

4 x 9 = 36

3/4 ÷ 4/9 = 12 ÷ 36 = 1/3 = 0.333333333 kilograms

Answer:

(a-11) (a+11)

Step-by-step explanation:

Hope it helps you

Answer:

(a+11)(a-11)

Step-by-step explanation:

we all need help sometimes dude

Answer:

I guess 21

Step-by-step explanation:

Because if you find the other side by trigonometric theorem-

[tex]x^2 = c^2 - a^2\\x^2 = 12^2 -8^2\\x^2= 144 - 64\\x^2=80\\\sqrt{x} =\sqrt{80}\\ x=8.94[/tex]

which is almost 9

9 is a possible value

they ask you to find the value which doesn't fit in the triangle

so the answer is 21 which doesn't make any sence

Hopefully, the answer would be work    

Answer:

D. y-9 = 2(x-1) (This is wrong dont use lol)

Answer:

C is your correct answer.

Step-by-step explanation:

Point Slope Formula:

y - y1 = m(x -x1)

Your Coordinate Points: (-2, 3) and (1,9)

The first "y" is 3 so the y1 should be 3.

The First "x" is -2 which is what x1 should be.

**But -x1 and -2 have to be + because negative and negative should cancel out and become an addition problem.

Point Slope Form Right Now:

y - 3 = m ( x + 2)

We're missing the "m" which is the slope.

Here's the specific formula:

y2 - y1/ x2 - x1

The "y2" is 9

The "y1" is 3

The "x2" is 1

The "x1" is -2

Now, do 9-3 over 1- (-2)

9-3 = 6 and 1-(-2) = 3

6/3 should be the answer for slope but it needs to be simplified

So, do 6 divided by 3 which is 2.

2 is your slope.

Plug it in and finalize!!

y - 3 = 2 ( x + 2)    

**The answer is C but the writing of the answer choice is wrong.

Answer:

-3 = -5

-2= -4

-1= -3

0= -2

1 =.-1

Step-by-step explanation:

From the input -2 and from the output -4,

we can make an equation,

-2 + x =-4

or, x= -4 +2

or, x = -2

Again,

From the input 1 and output -1,

We can make an equation,

1 + x = -1

or, x= -1 -1

or, x= -2

Therefore, we know that x = -2

Now, putting the value of X in the following equations, we get,

Input Processing output

-3. -2. -5

-2. -2. -4

-1. -2. -3

0. -2. -2

1. -2. -1

Probability of an event is the measure of its chance of occurrence. The correct probabilities are:

Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.

Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).

Symbolically, we write it as:

[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

For three sets, A, B and C:

[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]

The problem is incomplete. The corresponding venn diagram is attached below.

We can symbolize the venn diagram as:

[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]

S = sample space = collection of all unique elements.

S is union of A, B and C.

[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]

Checking all the options for their correctness:

We have:

[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]

Thus, its correct.

[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]

Thus, this option is incorrect.

Thus, this option is incorrect.

[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]

Thus, its correct.

[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]

Thus, this option is incorrect.

Thus, the correct probabilities are:

Learn more about probability here:

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Answer:

As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).

Answer:

  x = 163°

Step-by-step explanation:

The sum of interior angles of a pentagon is 540°. The missing value will bring the total to that. It can be found by subtracting the known values from 540°.

__

  x = 540° -85° -103° -121° -68°

  x = 163°

_____

Additional comment

The sum of interior angles of a simple n-gon is found from the formula ...

  angle sum = 180°·(n -2)

For n = 5, this is 180°×3 = 540°.

Answer:

The answer is 8.75<3

Answer:

the correct answer is 7.50

Step-by-step explanation:

because they are telling to measure how much will 6lbs will scost them in the chart when you look at six and go up to the line it lines up with 7.50

Answer:

  A

Step-by-step explanation:

The Corresponding Angles Postulate tells you corresponding angles are congruent where a transversal crosses parallel lines.

The converse of that postulate tells you the lines are parallel if the corresponding angles at a transversal are congruent.

__

Choice A matches the proof you're asked to provide.

The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.

A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.

The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.

The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.

The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.

As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.

Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

Learn more about function;

https://brainly.com/question/10628941

Answer:

D. f(x) = (x + 2)2 − 1

Step-by-step explanation:

took the test on edge :)

Answer:

x = 25

Step-by-step explanation:

Given:

Since ∠A is equivalent to ∠B...

[tex]\implies (7x - 8)= (6x + 17)[/tex]

Open the parenthesis:

[tex]\implies 7x - 8= 6x + 17[/tex]

Add 8 both sides:

[tex]\implies 7x - 8 + 8= 6x + 17 + 8[/tex]

Simplify both sides:

[tex]\implies 7x = 6x + 25[/tex]

Subtract 6x both sides:

[tex]\implies 7x - 6x = 6x - 6x + 25[/tex]

Simplify both sides:

[tex]\implies x = 25[/tex]

Answer:

 x = 25

Step-by-step explanation:

Putting Both angels together:

Since,

m∠A = (7x - 8)°

m∠B = (6x + 17)°

Then,

(7x-8) = (6x+17)

Solving for x:

7x - 8 = 6x + 17

    + 8           +8

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

7x = 6x + 25

-6x   -6x    

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

x = 25

Hence Answer is 25

~Lenvy~

Answer:

A

Step-by-step explanation:

A population is a set of similar items or events which is of interest for some question or experiment.

Answer:

i cannot see the photo to well whats the question?

nvm its A yw

Step-by-step explanation:

brainliest

Answer:

need a photo

Step-by-step explanation:

willl give correct answer if photo