A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?

Answers

Answer 1

9514 1404 393

Answer:

  96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

  100² = 28² + w²

  w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

Additional comment

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.


Related Questions

Katy put $3000 into his bank account.  If the account pays 6% interest compounded continuously, when will it be worth $6000?   Round to 3 decimal places.​

Answers

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

struggling with homework!!

Answers

Answer:

40

Step-by-step explanation:

if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.

BRAINLIEST
PLEASE HELP
10PTSS
A scale drawing of Julie's living room is shown below:
If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room?

Answers

The answer is C (Length=32 feet and Width=24 feet)

Please help faster please

Answers

Answer
The correct Is $3.20
I think it’s $3.20 if not I’m so sorry not the best at this stuff

A field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?​

Answers

44 moths 176 butterflies 220/5 x 4 = 176
176 + 44 = 220

Can someone help me with this worksheet? I'm trying to check my daughter's work and I'm not sure how to do this. Showing the work would help me see where and if shes wrong.

Answers

Answer:

Step-by-step explanation:

scam . smď

use a flowchart to prove if the triangles in each pair are congruent. NO LINKS!!!!​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It isn't clear what is supposed to go in the various blanks. We have elected to identify the corresponding congruent parts, and name the congruent triangles. The postulate supporting the conclusion is also shown.

In most cases, corresponding parts are marked congruent. The exception is the vertical angles in figure 22.

the answer is x=4 4(2×8)


A right triangle has legs with lenghts of 7 units and 12 units. What is the area of the triangle?

Answers

Answer:

area of triangle =1/2 x b x h

Step-by-step explanation:

=1/2 x 7 x 12

= 1/2 x 84

= 42 units

Two parallel lines are cut by a transversal. What is the measure of <1?

A 80
В. 180
C. 100
D. 90

Answers

Answer:

C - 100

Step-by-step explanation:

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

the answer is d !! have a good day

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

Find the value of x

Answers

Answer:

Hello! answer: x = 4

Step-by-step explanation:

Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!

180 degree line-

180 = (8x + 120)

-120

60 = 8x

/8

7.5

x = 7.5

7(7.5) = 52.5

Liam has 60 seeds and 12 plastic cups, and will plant the same number of seeds in each cup. Whicl equation shows the number of seeds in each cup? es 4 60 - 5 도 A 1260 5-12​

Answers

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

find the difference between 0.1 kg and 75g​

Answers

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

To know more about difference:

https://brainly.com/question/30241588

#SPJ2

please help me !!!!!!​

Answers

Answer:

okay!

Step-by-step explanation:

its B

Answer:

C)

Step-by-step explanation:

option—B&D

we eliminate these two options

because remember quadratic function standard form

[tex] \displaystyle f(x) = {ax}^{2} + bx + c[/tex]

recall that, if

a is negative then the graph will flip upside down

but a is positive so it won't flip upside down therefore,

these two are our answer

option-A:

it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:

option-C:

it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so

likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so

hence our answer is C

Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((

Answers

9514 1404 393

Answer:

  B. (3/2x, 3/2y)

Step-by-step explanation:

It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:

  3/2

Dilation about the origin multiplies each coordinate value by the scale factor:

  (x, y) ⇒ (3/2x, 3/2y)

The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

Which series is convergent? Check all that apply.
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 2 n Over n + 1 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction n squared minus 1 Over n minus 2 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts (one-fifth) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts 3 (StartFraction 1 Over 10 EndFraction) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 1 Over 10 EndFraction (3) Superscript n

There are 2 correct answers

Answers

Answer:

Step-by-step explanation:

c

No links please 15 Points

Answers

Answer:

C

Step-by-step explanation:

Is it possible to construct a triangle with the given side lengths?

1 ft, 6 ft, 9 ft
Yes or no?

Answers

No. The two smallest side lengths would have to add up to be bigger than the biggest number, 9.
ANSWER is no

EXPLAINTION

Tell whether the ordered pair is a solution of the inequality.
3x + 3y 5 -6: (-1,-4)
step by step explanation
help

Answers

Answer:

(-1, -4) is a solution

Step-by-step explanation:

3x + 3y ≤ -6

plug in point (-1, -4)

3(-1) + 3(-4) ≤ -6

-3 + -12 ≤ -6

-15 ≤ -6    true

 (-1, -4) is a solution

Find the quotient: 5 1/7 ÷ 3

Answers

Answer:

12 /7

Step-by-step explanation:

theres no quotient

Answer:

The answer is:  (12/7) OR  (1 5/7) <-- (SIMPLIFIED)

Step-by-step explanation:

First you would divide your original fraction by 3 : (5 1/7 / 3= 36/21). Next, you would  simplify  the fraction you have know (36/21) and simplify it by dividing the numerator (top number) & denominator ( bottom number) both by 3. ( 36/3= 12)  and ( 21/ 3= 7) . and so you would get your fraction 12/7 and or 1 5/7 ( if they want it to be simplified)

~ I rlly hope this helped you in any way, have a gr8 day/night my friend!~

Two parallel lines cut by a transversal are shown. What is the measure of X"?

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The marked angles are "alternate interior" angles, so are congruent.

  (x° +20°) = (4x° -10°)

  30 = 3x . . . . . . . . . . . . . . . divide by °, add 10-x

  10 = x . . . . . . divide by 3

Tessellations

Rotate the parallelogram 180° clockwise about point Q.

Please select the best answer from the choices provided

Answers

Answer:

D.

Step-by-step explanation:

I calculated it logically

Order the numbers from least to greatest 41/50, 0.83, 80%​

Answers

Answer:

80%, 41/50, 0.83

Step-by-step explanation:

80% = 0.80

41/50 = 0.82

0.83 = 0.83

Constant of Variation

State the relationship between the graphs of f(x) and g (x)

f(x) = -5/x, g )x) 5/x

a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.

Please select the best answer from the choices provided.

Answers

Answer:

B. f and g are reflections of each other about the y-axis.

Step-by-step explanation:

I calculated it logically

Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books

Answers

Lucy borrowed the most books in August (19 is the highest number in the graph.) There are 6 months in which she borrowed fewer than 10 books (February, May, June, July, November, December.)
Tip: do not click on the links, it’s a scam. Also an easier way to get answers quicker is post the picture and then briefly explain the post and not the entire question. :) I hope that helps. Have a great day!

Answer:

6 Months where she borrowed less than 10,

and he borrowed the most books in August.

Step-by-step explanation:

The Unit Circle

What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)

a. 180°
b. 90°
c. 360°
d. 270°

Please select the best answer from the choices provided

Answers

Answer:

C. 360°

Step-by-step explanation:

I calculated it logically

Answer:

Answer is C) 360°

Step-by-step explanation:

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?

Answers

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

How do I get the answer

Answers

Answer:

-9

Step-by-step explanation:

[tex] - |3a + \sqrt{b} | [/tex]

By putting the values of a = -4 , b = 9,

[tex] = - |3 \times ( -4) + \sqrt{9} | [/tex]

[tex] = - | - 12 + 3| [/tex]

[tex] = - | - 9| [/tex]

= -(9)

= -9 (Ans)

Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?

Answers

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

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