A rectangular park is 260 m by 480 m. Danny usually trains by running 5 circuits around the edge of
the park. After heavy rain, two adjacent sides are too muddy to run along, so he runs a triangular path
along the other two sides and the diagonal. Danny does 5 circuits of this path for training. Show that
Danny runs about 970 metres less than his usual training session

Answers

Answer 1

Answer:

971 m to nearest metre

Step-by-step explanation:

training distance = 5*2*(260 + 480) m  

Diagonal distance = √(2602 + 4802) m

Heavy rain training distance = 5*(260 + 480 + √(2602 + 4802)) m

Difference between these:

 

5 × 2  × ( 260 + 480 ) - 5 ×( 260 + 480  + √ 260 ^ 2 + 480 ^ 2 )

   = 970 . 5311872087638744

 

difference = 971 m to nearest metre

Hope this answer helps you :)

Have a great day

Mark brainliest


Related Questions

MATH QUESTION HELP ME PLS, KINDA URGENT!!

I need to resolve this with the elimination method

x +y +z = 13
x–z = −2
−2x +y = 3

how-?

Answers

Answer:

x= 2

y= 7

z= 4

Step-by-step explanation:

Equation 1: x+y+z=13

Equation 2: x-z= -2

Equation 3: -2x+y=3

Add equation 2 and 1

(x+y+z)+(x-z)= 13 -2

2x+y= 11

Add this to equation 3

(-2x+y)+(2x+y)= 11+3

2y= 14

y= 7

Plug in y= 7 to equation 3

-2x+(7)= 3

-2x+7=3

-2x= -4

x= 2

Plug x=2 into equation 2

2-z= -2

4 = z

Answer

X=2

Y=7

Z=4

Step by step answer

Trust

The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, how many cars did they wash on Sunday?

Answers

Answer:

If I did my math correctly, They washed 15 cars on Sunday.

Step-by-step explanation:

50 cars = 100%

Therefore 1 car would be 2% because 50 is half of 100.

So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday

With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday

Here is some extra data:

10% = 5 cars

20% = 10 cars

30% = 15 cars

40% = 20 cars

50% = 25 cars

60% = 30 cars

70% = 35 cars

80% = 40 cars

90% = 45 cars

100% = 50%

Basically, every 10% is +5 cars


Convert y + 2 = 3/2(x – 4)
to general form.

Answers

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

Write the equation of this line in point-slope form and slope-
intercept form.
Slope = -1 through point (-3,5)

Answers

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?

Answers

Answer:[tex]18+1.5c[/tex]

Step-by-step explanation:

Given

A large cheese pizza costs $18

Each topping add on costs $1.50

for c toppings added, the prize becomes

[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]

What is the equation for (12,1) (9,9)

Answers

Answer:

y = -8/3x + 33

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 1 / 9 -12

8 / -3

= -8/3

y = -8/3x + b

1 = -8/3(12) + b

1 = -32 + b

33 = b

Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle

Answers

The answer is scalene

I need help finding the slope

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1


[tex] {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} [/tex]
Pls include steps...​

Answers

Step-by-step explanation:

everything can be found in the picture

Two events X and y, are independent of eachother. P(Y)=5/6 and P(X and Y)=1/3. What is P(X) written as a decimal. Round to the nearest tenth, if necessary

Answers

Answer:

0.2

Step-by-step explanation:

0.2=2/6=1/3=P(x)

.........

Solve the given portion 10/a= 15/24 x=?

Answers

Answer:

[tex]a = 16.[/tex]

Step-by-step explanation:

[tex] \frac{10}{a} = \frac{15}{24} [/tex]

Then

[tex]15 \times a = 24 \times 10[/tex]

So

[tex]a = 240 \div 15[/tex]

Therefore

[tex]a = 16.[/tex]

answer?? please answerr

Answers

Answer:

the y-intercept of Function A is less than the y- intercept of Function B

Step-by-step explanation:

first, identify each coordinate that has instegers only

(x, y)

(0, -4)(2, 6) (-2, -14)

function A y-int: (0, -86)

function B y-int: (0, -4)

What rav3ntails said

$42. This included rental of shoes at $3.50 per pair. Patrick bowled 2 games, and Cameron bowled 3 games. How much did each game cost?

Answers

Answer:

Each game cost $ 7.

Step-by-step explanation:

Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:

(42 - (2 x 3.50)) / (2 + 3) = X

(42 - 7) / 5 = X

35/5 = X

7 = X

Therefore, each game cost $ 7.

Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?

Answers

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in

Answers

Answer:

C. 8 in

Step-by-step explanation:

(5)(6)(x)=240

solve for x

30x=240

x=240/30

x=8

which of the following is a root of the polynomial function below​

Answers

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

what is 94.2 and 87 averaged out

Answers

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

The answer is 90.6 . You take the sum of the numbers and divide by two .

Fill in the blank
Plssss help

Answers

pretty sure it’s radius and height
the blanks would be radius and height

round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it ​

Answers

Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

Learn more about Rounding off here:

https://brainly.com/question/28128444

#SPJ6

Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.

Answers

The pythagorean theorem states that a^2 = b^2 + c^2, where a is the side that opposes the right angle.

In this case, you have a and b, so you need c.

That means that c^2 = a^2 - b^2 so c is the square root of (a^2 - b^2) that means c = the square root of (676 - 576) which is 10in.

Answer: 10 in.

Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2}  = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.

Write the following number in standard decimal form
seven and fifty-two thousandths

Please help

Answers

Answer:

seven and fifty-two thousandths as a decimal

Step-by-step explanation:

7.52

Your answer should be 7.052

The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:

tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you

Find the circumference of the circle.​

Answers

Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

) yx2x1 how do you write it in simplest form​

Answers

Answer:

Y x 2

Step-by-step explanation:

2 x 1 simplified is 2 so 1 will be eliminated

At Safeway, a pound of apples cost $1.32. Mrs. Terry purchased 7.5 pounds of apples. How much money did
Mrs. Terry spend on apples?

Answers

Answer:

the answer is $1.32×7.5=$9.9

Answer:

£9.90

Step-by-step explanation:

There are 2 ways you can do this. Both are similar.

For the first method it's much quicker but you might need a calculator.

You would simply do 7.5 × 1.32 = £9.90 that should give you the answer.

If you were to do it with out a calculator then what you need to do is 7 × 1.32 = 9.24

Because there is still 0.5 (or 1/2) left from the 7 that you multiplied, you do 1.32 ÷ 2 = 0.66.

Add the 2 numbers together

0.66 + 9.24 = £9.90

What is the volume of the following rectangular prism?

Answers

Answer:

14 2/3 units^3

hope this helps

have a good day :)

Step-by-step explanation:

7 1/3 x 2=14 2/3

The volume of the rectangular prism is 14.66 square units.

It is required to find the volume of the  rectangular prism.

What is prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.

Given:

The volume is calculated as:

V= w h l

V= 7 1/3 x 2

V= 22/3 x 2

V= 44/3

V=14.66  square units.

Hence, the volume of the rectangular prism is 14.66 square units.

Learn more about prism here:

brainly.com/question/23946563

#SPJ6

Please help if yk tha answer :))

Answers

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Drag the correct word and the appropriate value to the box with each given interval

Answers

Answer:

this answer is for functional value only

PLEASE HELP According to the stem-and-leaf plot above, how many students scored a
grade lower than 80?

Answers

Answer:

17

Step-by-step explanation:

Do you even know what a stem-leaf plot is?

The scores lower than 80% are:

70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.

Find the sum of the measures of the exterior angles of a 52-gon.


9360°


9000°


360°


520°

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?

Answers

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

Other Questions
what is an algebraic expression for the quotient w and 7? Write a letter to your friend, advising him/her on how to start a garden. You may use some of the words and phrases given. Make sure your letter is not less than 120 words.weed-dig-must have good soil-choose plants carefully-pots-flowerbeds-water daily-use fertiliser What is Limit of (3 x minus 3) Superscript five-halves Baseline as x approaches 4 The Peoples Party was founded to NEED HELP ASAP PLS10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount? If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer? Read the claim.CLAIM: Smoking causes lung cancer.Which statement of evidence best supports this claim?Select one:Even people who smoke fewer than five cigarettes a day can develop health problems.Smokers are 23 times more likely to develop lung cancer than non-smokers.10 to 15 percent of all lung cancer victims are non-smokers.Smoking doubles the risk of heart failure among both men and women. I5 : 20 = 125 : 500 Jackson has a monthly sabry of $2750. He also resensies 2.5% commission on all sales over $6000. What is his salary in a month when he has sales of $ 14000 1) Quais diferenas podemos encontrar entre a concepo indgena de arte e as concepes de nossa sociedade?A pergunta do CMSP 4/8 =?/2 please answer The principal reason we consider tunicates similar to the ancestor of all chordates is that Select one: a. tunicates have a lophophore-style mouth. b. tunicate adults are very similar to the ancestors of cephalochordates and vertebrates. c. tunicate larvae are primitive in all of their features. d. tunicate larvae possess the synapomorphies of adult chordates and thus reveal close evolutionary relationships with chordates. e. the body plan of adult tunicates parallels that of chordates. What does Euro Americans means What would happen if there were no greenhouse gases to trap heat? Drag each tile to the correct box.Match the visual elements of design to the effect they produce. Which health career fulfils aligned with your values interest and skills why.. What are the x- and y-intercepts for the graph of 3x + y = 15?x-intercept = 3y-intercept = 15x-intercept = 3y-intercept = 1x-intercept = 3y-intercept = 1x-intercept = 5y-intercept = 15 Find the slope thanks An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by k(x) = 125x^2 +670x 125 where P= k(x).Required:a. Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profitb. The cost of the ice cream cone is too low then the ice cream shop will not make a profit. Determine what the ice cream shop needs to charge in order to break evenc. The profit function for Cold & Creamy (another ice cream shop) is defined by the function g where gx)- k(x-2). Does the function g have at the same maximum value as k? If h(2) = 5 722, what is h(-1)?