Hayk was walking around the cross-shaped pool with 10m-long sides , while Karlen was swimming in it. During the time Hayk got from point A to point B, Karlen swam diagonally from point B to A and back.
By what percent did the distance covered by Karlen exceed that of Hayk ? (round your answer to the nearest tenth)

Hayk Was Walking Around The Cross-shaped Pool With 10m-long Sides , While Karlen Was Swimming In It.

Answers

Answer 1

Answer:

5,41%

Step-by-step explanation:

Remark

It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.

Givens

Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.

Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.

Solution

The difference = 63.25 - 60 = 3.25

The % increase = (3.25/60)*100 = 5.41%


Related Questions

30 ounces = how many pounds and ounces

Answers

Answer:     " 1 lb ,  14 oz. " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

Note the exact conversion:    " 16 oz.  =   1 lb.  " .

→  {that is:  " 16 ounces  =  1 pound " .}.

_________________________________________________

  30 oz. * ( 1 lb / 16 oz). =  [tex]\frac{30}{16}[/tex]  lbs. ;

                                      = (30/2) / (16/2)   lbs.

                                      =  (15 / 8) lbs.  ;

_________________________________________________

       1

8 ┌ 15

    -  8                            

        7  ;              

______________________

The answer is equal to:  " 1  7/8  lbs. " .  

           →   (1 lb)  + (7/8) (lb).  ;

______________________

 →  (7/8) lb.   =  how many "oz." ??

_______________________

Note the exact conversion:   " 1 lb.   =   16 oz.  " .

_______________________

 →   [tex]\frac{7 lb}{8}[/tex] * [tex]\frac{16 oz}{1 lb}[/tex]  ;

                    =  [tex]\frac{7}{8} * \frac{16}{1}[/tex]  oz.   ;

 →  The "8" cancels to a "1" ; and the "16" cancels to a "2" ;

                   →  {since:  " {16 ÷ 8 = 2 } " ;  

             and:   {since:  " {8 ÷ 8 = 1 } " .

_______________________________________________

 →  So we can rewrite as:  

_______________________________________________                  

                  →  [tex]\frac{7}{1} *  \frac{2}{1}[/tex]  oz. ;

                         =  { 7  *  2 }  oz.  ;

                         =   14  oz.

_______________________________________________

→  So:        

_______________________________________________  

 →   " 30 oz. "  =  " (1 lb)  + (7/8) lb.  "  ;

                        =  "  1 lb. + 14 oz. "  ;

                        =  " 1 lb ,  14 oz. " .

_______________________________________________

        →  The answer is:  " 1 lb ,  14 oz. " .

_______________________________________________

Let us check our answer:

  →   Does:     " 1 lb.  +   14 oz. = ?  30 oz. ? " ;

_______________________________________________

Note the exact conversion:  " 1 lb.  =  16 oz. " .

_______________________________________________

  →   Does:  " 16 oz.   +   14 oz.   =  ?   30 oz. ??  " ;

_______________________________________________

 

  16 oz            

+ 14 oz            

  30  oz.

_______________________________________________

→   Does:   " 30 oz.  = ?  30 oz. ? "  ??? ;  →   Yes!

_______________________________________________

Hope this helps!

 Best wishes to you in your academic endeavors

           — and within the "Brainly" community!

_______________________________________________

A punter kicks a football upward with an initial velocity of 48 feet per second. After how many seconds does the ball hit the ground? Use the formula h=rt−16t2, where h represents height in feet and r represents the initial velocity (rate) in feet per second.

A. 3
B. 6
C. 8
D. 12

Answers

Answer:

A. 3

Step-by-step explanation:

Fill in the given values in the formula (h=0, r=48) and solve for t.

... 0 = 48t -16t²

... 0 = 16t(3 -t)

This is true for t = 0 and for t = 3.

The ball will take 3 seconds to hit the ground.

Answer:

A.3

Step-by-step explanation:


If f(x) is a third degree polynomial function and g(x) = f(–2x), which of the following is NOT true?
f(x) and g(x) have the same x-intercepts.
f(x) and g(x) have the same y-intercepts.
f(2) = g(–1)
f(x) and g(x) have the same number of zeros

Answers

Answer:

f(x) and g(x) have the same x-intercepts (is not true)

Step-by-step explanation:

g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)

_____

Comment on the question/answer

f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)

find the value of x.

Answers

Answer:

71.79 degrees

Step-by-step explanation:

The cosine is (adjacent side to angle) / (hypotenuse)

so the cosine of x = 5/16

to get x you multiply cosine by its inverse

(cos^-1 x)(cos x) = (cos^-1 x)(5/16)

= 71.79 degrees

Quadrilateral QRST has two pairs of congruentes sides, but it is not a parallelogram. What figure is it? What further condition would have to satisfy to be a parallelogram?

Answers

Answer:

The correct answer is:    [C]:

________________________________________________

  " {The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } ."

________________________________________________

Step-by-step explanation:

________________________________________________

Note that "all" squares are "parallelograms" ; and that "all" rectangles are

                "parallelograms" ;  

           yet:  "Not All parallelograms" are "squares" or "rectangles".

________________________________________________

The question asks:

________________________________________________

"Quadrilateral QRST has two pairs of congruent  sides, but it is not a parallelogram.  

What figure is it?  

What further condition would have to satisfy to be a parallelogram? "  .

________________________________________________

So;  we can rule out:

________________________________________________

"Answer choices:

[A]:  "The figure is a square..." ;

________________________________________________

[B]:   "The figure is a rectangle..." ;  AND :

________________________________________________

[D]: "The figure is a square..."  .

________________________________________________

We are left with:

________________________________________________

Answer choice:  [C]:  

________________________________________________

          " { The figure is a kite.  To be a parallelogram, it would have to have pairs of opposite congruent sides, not just congruent sides. } "  .

________________________________________________________

a random generator is used to select an integer from 1 to 3 inclusive. What is the difference between the estimated probability that a 3 is generated and the actual probability that a 3 is generated?
1 2 3 3 3 2 2 1 1 1 2 3 1 1
A. 0.29
B. 0.33
C. 0.05
D. 0.04

Answers

Answer:

option no D

Step-by-step explanation:

AS it given that it is a random generator

so it will generate random integers between 1 and 3

so

possible sample space = {1,2,3}

Total no of out comes = 3

Estimated probability that 3 will occur will be obtained by dividing total no of outcomes with total no of possible events to occur

as the occurrence of event is only 1

so

Estimated probability = 1 /3 = 0.33333

Now

The experiment is performed

total outcomes = 14

Total no of like able events that 3 occurred = 4

Actual probability = 4 / 14

                             = 0.2857

Difference between actual and estimated probability is = 0.3333-0.2857

                                                                                            =0.0421

                                                                                           ≅0.04

which is option D

Final answer:

The actual probability of a 3 being generated is 1/3, and the estimated probability from the given sequence is 4/14. The difference between the two probabilities is roughly 0.05, which corresponds to answer choice C.

Explanation:

The question refers to the probability of a random generator selecting the number 3 from a set of integers ranging from 1 to 3, where each number has an equal chance of being selected. The actual probability of the random generator selecting a 3 is 1/3, as there are three possible outcomes and each is equally likely. To find the estimated probability, we can look at the frequency of the number 3 in the provided set of generated numbers: (1 2 3 3 3 2 2 1 1 1 2 3 1 1). In this set, there are 4 occurrences of the number 3 out of 14 total numbers. Therefore, the estimated probability is 4/14 or approximately 0.2857. The difference between the estimated and actual probabilities is 0.3333 (actual) - 0.2857 (estimated) = 0.0476. When rounded to two decimal places, the difference is approximately 0.05. Thus, the correct answer to the question would be C. 0.05.

The ratio AB to CB is

Answers

Answer:

1/3

Step-by-step explanation:

The ratio of AB to CB

AB/CB

3/9

Simplifying by dividing the top and bottom by 3

1/3


Your class wants to know to most typical age of student in your class. It collects the ages of all students and the teacher. Which measures of central tendency would give you the best typical student age

Answers

Answer:

Median.

Step-by-step explanation:

Assuming the teacher is not of similar age to the students, their higher age would pull the mean higher than if the teacher were not included, where  the median would not be pulled by this extreme value.

PLEASE HELP, will give brainliest if you answer
consider the function represented by the equation 16b = 4r - 12. write the equation in function notation, where b is the independent variable. Must show work for full credit

Answers

b=1/4r-3/4

Step-by-step explanation:Divide everything by 16

Leave it a fraction

So ye...


The frequency (F) and length (L) of a wave are related by the following formula: F x L = 3.0 x 1010. Consider that the wavelength of violet light is 1.3 x 10−8. What is the frequency of violet light?

Answers

Answer:

2.3 × 10^18

Step-by-step explanation:

Your formula tells you ...

... F × (1.3 × 10^-8) = 3.0 × 10^10

Dividing by the coefficient of F, you have ...

... F = 3.0/1.3 × 10^(10-(-8))

... F ≈ 2.3 × 10^18

A line has __________ dimension and is usually represented with two arrowheads.

one

two

three




Points that lie in the same plane are known as ___________ points.

collinear

coplanar

coordinate

Answers

Answer:a line has one dimensionpoints in the same plane are coplanarStep-by-step explanation:

1. A line has only a length dimension. It has no width or height. It is a one-dimensional object.

2. Points on the same line are collinear. On the same plane, they are called coplanar. Coordinates locate a point relative to some measurement reference.

What is the solution to the system of equations?
x+y = 2
x -y =4

(__ , ____)

Answers

Steps:

So with this system of equations, I will be using the elimination method. With the two equations, add them together and you will get:

[tex]2x=6[/tex]

Since the y-variable has been eliminated, we can solve for x. With this, divide both sides by 2:

[tex]x=3[/tex]

Now that we know the value of x, substitute it into either equation to solve for y:

[tex]3+y=2\\y=-1\\\\3-y=4\\-y=1\\y=-1[/tex]

Answer:

In (x,y) form, your answer is (3,-1).

Answer:

x=3, y=-1

Step-by-step explanation:

x+y = 2  

x -y =4  



I will use elimination to eliminate the variable y.  Add the two equations together.

x+y = 2  

x -y =4  

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

2x = 6

Divide each side by 2

2x/2 = 6/2

x = 3

But we still don't know y

x+y =2

Substitute x=3 into the equation

3+y =2

Subtract 3 from each side

3-3 +y =2-3

y =-1

Simplify (2p+3)2 - (2p-3)2 (Give proper detailed answer with all steps)

Answers

Answer:

[tex]24p[/tex]

Step-by-step explanation:

There's a very useful pattern in factoring and multiplying binomials called a difference of squares, and it looks like this:

[tex](x+y)(x-y)=x^2-y^2[/tex]

We can use this difference of squares to factor the expression we've been given, setting [tex]x=2p+3[/tex] and [tex]y=2p-3[/tex] to obtain the expression

[tex](2p+3)^2-(2p-3)^2=[(2p+3)+(2p-3)][(2p+3)-(2p-3)][/tex] (1)

tackling each of the multiplicands on the right:

[tex](2p+3)+(2p-3)=2p+2p+3-3=4p[/tex] (Left)

[tex](2p+3)-(2p-3)=2p-2p+3-(-3)=3+3=6[/tex] (Right)

This simplifies the expression on the right of (1) to [tex]4p\cdot6[/tex], or simply [tex]24p[/tex].

At the produce counter, 71⁄5 pounds of seedless grapes cost $12.89. How much would 3 pounds cost?

A. $3.58
B. $5.16
C. $1.79
D. $5.37

Answers

Answer:

D. $5.37

Step-by-step explanation:

We need to figure out how much grapes cost per pound

Change the mixed number to an improper fraction

7 1/5 = (5*7+1) /5 = 36/5

$12.89 / 36/5

Copy dot flip

12.89 * 5/36 = 1.79 per lb

If we are purchasing 3 pounds, we will multiply by 3

3 lbs * $1.79 / lb = $5.37

(4x10^6) - (2x10^5)

Simplify!

Answers

ANSWER:

3, 800, 000

When ( 4 × 10^6 ) - ( 2 × 10^5 ) is simplified, the answer is:
3, 800, 000.

STEP-BY-STEP EXPLANATION:

= ( 4 × 10^6 ) - ( 2 × 10^5 )

= ( 4 × 1, 000, 000 ) - ( 2 × 100, 000 )

= ( 4, 000, 000 ) - ( 200, 000 )

= 3, 800, 000

Carter has balance of -2,096.37 on his bank loan.He makes a payment and subtracts $500 of his debt.Then he decides to make a monthly payment to subtract $250 of the debt each month.What is the least number of months that Carter needs to make the monthly payment to pay off the original debt? Explain your thinking

Answers

Answer:

7 months

Step-by-step explanation:

After Carter makes his $500 payment, the balance on the loan is -1596.37. We want to find the number of months (m) such that ...

... -1596.37 +250m ≥ 0

... m ≥ 1596.37/250 . . . . add 1596.37, divide by the coefficient of m

... m ≥ 6.4

The least number of months that is more than 6.4 is 7 months.

_____

Comment on this answer

Carter's loan balance may also be affected by interest charged on the loan amount. We don't expect those charges to be so high as to require an additional month's payment.

In kite JKLM , MJ=JK and ML=KL . Diagonals JL¯¯¯¯¯ and MK¯¯¯¯¯¯¯ intersect at point P, m∠MLK=48∘ , and m∠JKM=30∘ . What is m∠JML ?

Answers

Answer:

96°

Step-by-step explanation:

ΔKLM is isosceles, so base angle KML will be half the supplement of ∠MLK, or ...

.... ∠KML = (180° -48°)/2 = 66°

ΔKJM is also isosceles, so base angle JMK will be the same measure as ∠JKM, 30°.

∠JML = ∠JMK + ∠KML = 30° +66°

∠JML = 96°

Which of the following fractions are less than or equal to 0.66? Select all that apply.

D 9/14
C 33/50
A 3/7
B 4/9

Answers

Answer:

All of them

Step-by-step explanation:

A. 3/7 ≈ 0.43

B. 4/9 ≈ 0.44

C. 33/50 = 0.66

D. 9/14 ≈ 0.64

All of the above numbers are 0.66 or less.

Plz Help ASAP WILL MARK BRAINIEST Solve for x:

Answers

Answer:

The correct answer is 5.34

Step-by-step explanation:

you can double check this by multiplying .6 and 8.9

Answer:

x = 5.34

Step-by-step explanation:

x/ .6 = 8.9

We want to solve for x, which means we want x by itself.

Multiply each side by .6

x/ .6  * .6= 8.9 * .6

x = 5.34

PLZ HELP WILL MARK BRAINLEST SOLVE FOR X

Answers

[tex]\frac{x}{8} + 19 = 30[/tex] - subtract 19 from both sides

[tex]\frac{x}{8} = 11[/tex] - multiply both sides by 8

[tex]x = 88[/tex]


In this equation, x = 88.

subtract 19 from both sides. x/8= 11 Then multiply both sides by 8 and it will cancel out the fraction. So x=88

the perimeter of a rectangle whose sides are lengths ( 4z + 3 ) units and ( 3z + 5 ) units

Answers

Answer:

14z + 16 is your perimeter

Step-by-step explanation:

To solve the perimeter, add all sides together. Note that in a rectangle, the opposite sides are congruent and parallel to each other.

Let Perimter = p

p = 2(4z + 3) + 2(3z + 5)

Simplify. Distribute the numbers.

2(4z + 3) = 8z + 6

2(3z + 5) = 6z + 10

Simplify. Combine like terms

p = 8z + 6 + 6z + 10

p = 14z + 16

14z + 16 is your perimeter

~

The fee for a balance transfer is 2% of the amount of the transfer. If b represents the amount of the balance transfer and ƒ represents the amount of the fee, which of the following equations represents the relationship between b and ƒ?
b = 0.2ƒ
ƒ = 0.02b
b = 0.2 + ƒ
ƒ = b + 2

Answers

Answer:

f=0.02b

Step-by-step explanation:

So we want to figure out the fee (f) therefore our answer will be in terms of f=(something).  Now since the fee is 2% and 2% is decimals is 2÷100=0.02  then:

f=0.02b

Meaning that the fee is 2% of the balance (b).

f divided by 1/4 for f =2/9
Please help FAST
ASAP

Answers

Since f=2/9 you would divide 1/4 by 2/9 and your answer is .88888 and it goes on. So, put the line over 8 to show it repeats.

[tex]f\div\dfrac{1}{4}=f\times\dfrac{4}{1}=4f\\\\f=\dfrac{2}{9}\to4f=4\times\dfrac{2}{9}=\boxed{\dfrac{8}{9}}[/tex]

once out of every two weeks of the year would be how may days through out the year

Answers

Answer:

26 most years; 27 some years

Step-by-step explanation:

1 day out of 14 is 1/14 of the number of days in a year.

The number of days in a year depends on the year or years you're talking about. In all cases, there are not an integer number of weeks in a year, so days are left over. 365/14 = 26 1/14.

For example, if you're concerned with every other Monday, most years, there will be 26 of them, but every few years there will be 27. Over a period of 800 years, there will be exactly 71 years with 27 days of interest instead of 26. 800 is not divisible by 71, so the spacing will be uneven.

Evaluate the expression 8 to the second power + 3.8 - 10 * 2

Answers

Answer:

47.8

Step-by-step explanation:

8^2+3.8-10*2

64+3.8-20

47.8

What is the property of addition that is illustrated by the equation 0+34=34?

Answers

Answer:

Additive identity.

Step-by-step explanation:

The zero is the additive identity. It is so named because when you add 0 to anything, you leave the unchanged.  To give you a better idea about what this is, the multiplication identity is 1

One times anything does not change anything's value. 1 * 33 = 33. 33 is left unchanged.

the temperature in Tampa was 55°F at 5a.m . It rose 7°every hour for the next 2 hours and then rose 8° every hour for 3 hours after that. It then remained constant until 3p.m. what was the temperature at noon.

Answers

Answer:

93 °F

Step-by-step explanation:

At 7 am, the temperature was 55 °F + 2×7 °F = 69 °F.

At 10 am, the temperature was 69 °F + 3×8 °F = 93 °F.

Since the temperature was constant until 3 pm, it was 93 °F at noon.

Trevon is making payments on a car that costs $26,555. He makes 36 equal payments. If he rounds the equal payments up to the nearest whole dollar, about how much will he overpay after 36 months? Show your work to justify your answer.

Answers

Answer:

$13

Step-by-step explanation:


$26,555 ÷ 36 = 737.6388889 ≈ $738 per month

36 × 738 = $26,568

= $13


Answer:

$13 will be overpaid after 36 months if payments are rounded of to nearest whole number dollar.

Step-by-step explanation:

We are given the following in the question:

Total cost of car = $26,555

Number of equal installments made = 36

Payment of 1 installment =

[tex]\displaystyle\frac{\text{Toatl cost}}{\text{Number of installments}} = \frac{26555}{36} = 737.6389\$[/tex]

Rounding of to nearest whole number, payment of one installment =  $738

Value of 36 installments of $738 each =

[tex]36\times 738 = 26568\$[/tex]

Money overpaid after 6 months =

[tex]26568 - 26555 = 13\$[/tex]

Thus, $13 will be overpaid after 36 months if payments are rounded of to nearest whole number dollar.

Select linear or nonlinear to correctly classify each function.

Answers

Answer:

okiii i got the answers right here i hope this helps!

Step-by-step explanation:

oki so for the first one liner

the second it non liner

third is also non liner

and the lasst one is liner

Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many fimes will Pat bounces the ball in 150 seconds?

Answers

Answer:

125 times

Step-by-step explanation:

Set up the proportion

25 times/ 30 seconds = x / 150 seconds       Multiply by 150

25 * 150 / 30 = x

3750 / 30 = x

x = 125

He will be able to bounce the ball 125 times

Answer:

The ball will bounce 125 times

Step-by-step explanation:

We can use ratio's to solve this problem.  I will put how many times the basketball is bounced on top and how many seconds on the bottom.

25 times         x times

-------------   = ----------------

30 seconds    150 seconds

Using cross products

25 * 150 = 30 * x

Divide each side by 30

25*150/30 =30*x/30

25 * 5 = x

125 =x

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