A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning

Answer:

1mph or 1 mile per hour

Step-by-step explanation:

simple

Answer:

280

Step-by-step explanation:

All you have to do is 7x4 and look for how many 0's there are in the equation and add them on.

Answer:

Exact form: 157/20

Decimal Form: 7.85

Mixed Number Form: 7/17/20

Step-by-step explanation:

Answer:

x=10 y=9

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Less Than :)

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.

A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.

The attached table shows the desired values and expressions.

Step-by-step explanation:

[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]

Answer:

List all of the solutions.

50 k m =

9 m i n u t e s =

14 k m =

Step-by-step explanation:

Answer:

y = -4x + 50

Step-by-step explanation:

To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:

y = mx + 50

To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:

14 = m(9) + 50

Now let's solve for m:

14 = 9m + 50

Subtract 50 from both sides to isolate the 9m:

14 - 50 = 9m + 50 - 50

- 36 = 9m

divide both sides by 9 to isolate the m:

-36/9 = 9m/9

-4 = m

The boat moves at -4 km/minute, which is the same thing as saying that  after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:

y = -4x + 50

Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

f(1) = 1 + 1

f(1) = 2

Answer: 2

============================================

Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer:  5/2

============================================

Problem 3

(f o f o f)(1) = f(  f(f(1)) )

(f o f o f)(1) = f(  (f o f)(1) )

(f o f o f)(1) = f(  5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

============================================

Problem 4

(f o f o f o f)(1) = f(   f(f(f(1))   )

(f o f o f o f)(1) = f(   (f o f o f)(1)    )

(f o f o f o f)(1) = f(   29/10   )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

============================================

Problem 5

(f o f o f o f o f)(1) = f(   f(f(f(f(1))))   )

(f o f o f o f o f)(1) = f(   (f o f o f o f)(1)  )

(f o f o f o f o f)(1) = f(   941/290  )

(f o f o f o f o f)(1) = 941/290 + 1/(941/290)

(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

Answer: 969581/272890

A function assigns the values. The value of (f•f•f•f•f)(1)​ is 969581/272890.

A function assigns the value of each element of one set to the other specific element of another set.

1.)

The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,

f(x) = x + 1/x

f(1) = 1 + 1/1

    = 1 + 1

    = 2

2.)

(f · f)(1) = f( f(1) )

Since the value of f(1)=2, therefore, it can be rewritten as,

(f · f)(1) = f(2)

           = 2 + 1/2

           = 4/2 + 1/2

           = 5/2

3.)

(f · f · f)(1) = f(  f(f(1)) )

Since the value of f(f(1))=5/2, therefore, it can be rewritten as,

(f · f · f)(1) = f(  (f·f)(1) )

              = f(  5/2 )

              = 5/2 + 1/(5/2)

              = 5/2 + 2/5

              = 25/10 + 4/10

              = 29/10

4.)

(f · f · f · f)(1) = f(  f(f(f(1))  )

Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,

(f · f · f · f)(1) = f(   (f·f·f)(1)    )

                  = f( 29/10 )

                  = 29/10 + 1/(29/10)

                  = 29/10 + 10/29

                  = 841/290 + 100/290

                  = 941/290

5.)

(f · f · f · f · f)(1) = f(   f(f(f(f(1))))   )

Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,

(f o f o f o f o f)(1) = f(   (f·f·f·f)(1)  )

                           = f(  941/290 )

                           = 941/290 + 1/(941/290)

                           = 941/290 + 290/941

                           = 885481/272890 + 84100/272890

                           = 969581/272890

Hence, the value of (f•f•f•f•f)(1)​ is 969581/272890.

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Answer:

so what is the question?

Answer:

3 oz

Step-by-step explanation:

Let x represent the number of oz. of the medal with 40% gold:

Set up an equation and solve for x:

0.4x + 7(0.9) = 0.75(x + 7)

0.4x + 6.3 = 0.75x + 5.25

6.3 = 0.35x + 5.25

1.05 = 0.35x

3 = x

So, you will need 3 oz. of the metal with 40% gold

Answer:

The smallest possible value of the sum of their squares is 128.

Step-by-step explanation:

Let the first number = x

let the the second number = y

x +  y = 16

y = 16 -x

minimum value, f = x² + y²

f(x) = x² + (16-x)²

f(x) = x² + 256 - 32x + x²

f(x) = 2x² - 32x + 256

f(x)' = 4x - 32

4x - 32 = 0

4x = 32

x = 32 / 4

x = 8

The absolute minimum value of x = 8

y = 16 - x

y = 8

The smallest possible value of the sum of their squares is given by x² + y²;

=  (8)² + (8)²

= 128

Therefore, the smallest possible value of the sum of their squares is 128.

Answer:

you can alwayd use desmos for graphing

Answer:

ANSWER: 8  A_P_E_X  

Step-by-step explanation:

Plug the radius and the center point into the equation, and convert it to general form to get your answer.

The value of a is 4.

The standard equation of a circle is given by

(x -h)² + (y-k)² = r²

The equation given is

x² + y² +ax +by +c = 0

a = -h * 1

(h,k) represents the coordinate for the center of the circle

h = -4 , k =2

a = -(-4) *1 = 4

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Answer:

See steps below

Step-by-step explanation:

WS ⊥ MH , HS = SM ......... Given

<HSW = <MSW = 90  .....  From WS ⊥ MH

Triangle HWS = Triangle WMS .... SAS  theorem

<M = <H  .... based on triangle congruency, and angle opposed to equal side WS

Answer:

x = 7deg

Step-by-step explanation:

7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)

22x = 154

x = 7deg

This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

<FEA is 70 degrees. It is already given.

playing with blocks??

Answer:

x-(-1)=6

-x=6

-x/-1 6/-1

x=-6

Answer:

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Step-by-step explanation:

Given the system of equations

[tex]x-y=6;\:y=-1[/tex]

solving

[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=-1[/tex]

[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]

Isolate x for [tex]x+1=6[/tex]

[tex]x+1=6[/tex]

[tex]x=5[/tex]

Therefore, the solution of the system of equations will be:

[tex]x=5,\:y=-1[/tex]

Answer:

hope this helps :)

Step-by-step explanation:

Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.

So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour

Jazmeen can walk 1.25 miles in one hour.

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer:

the answer is 9

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

Answer:

The maximum amount of apples she could buy is 7

Step-by-step explanation:

3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.

Answer:

he will fill 6 pitchers

Step-by-step explanation:

4.8÷0.8=6

Answer:

4 hours

Step-by-step explanation:

Given that the number of leftover candles for Jane = 34

and  the number of leftover candles for Brianna = 2

Rate of candle making for Jane = 24 candles/ hour

Rate of candle making for Jane = 32 candles/ hour

As they work for h hours to make candles.

So, in h hours, the number of new candles made by Jane = 24h candles

For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]

Similarly, in h hours, the number of new candles made by Brianna = 32h candles

For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]

As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have

[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]

[tex]\Rightarrow h=32/8=4[/tex] hours.

Hence, both need to work for 4 hours to have the same number of candles.

Answer:

It should be

Step-by-step explanation:

Answer:

[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]

Step-by-step explanation:

2x² - 3x - 12 = 0

Using the quadratic formula which is

[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]

From the question

a = 2 , b = - 3 , c = - 12

So we have

[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]

Separate the solutions

We have the final answer as

[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]

Hope this helps you

Answer:

x>-17.2

Step-by-step explanation:

Simplify both sides of the inequality

-0.5x-3.1< 5.5

Add 3.1 to both sides

-0.5x< 8.6

Divided both sides by -0.5

x>-17.2

Hope this helped! :)

Answer:

x=-5

Step-by-step explanation:

The x-intercept is x=-5

Answer:-5

Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5