Angelo the Alligator is laying out next to a perfectly circular pond. He is 25 feet from the edge of the pond and 45 feet from the point of tangency. Determine the radius of the pond.

Angelo The Alligator Is Laying Out Next To A Perfectly Circular Pond. He Is 25 Feet From The Edge Of

Answers

Answer 1

9514 1404 393

Answer:

  28 feet

Step-by-step explanation:

Let r represent the radius of the pond. Then the Pythagorean theorem gives us the relation ...

  (25+r)² = r² + 45²

  625 +50r +r² = r² +2025

  50r = 1400 . . . . . . . . . . . . . subtract r²+625 from both sides

  r = 28 . . . . . . . . . . . divide by 50

The radius of the pond is 28 feet.


Related Questions

Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.

How much more plaid ribbon than polka-dot ribbon does she have?
Last one

Answers

Answer:

7/8

Step-by-step explanation:

I think but im 60% im right

PLEASE SOMEONE HELP WITH MY MATH!

Answers

Answer:

Oop

Step-by-step explanation:

Which of these has the smallest product?

Answers

Answer:

B

Step-by-step explanation:

1/5 x 5/6 = 5/30

Hope this helps!

Which set of numbers are factors of 20? *
25 points
3, 5, 9
2, 4, 6
1, 2, 4

Answers

The answer is the last one, 1, 2, 4 :)))

Answer:

the asswer is 1 2 4

Step-by-step explanation:

1×20=30

2×10=20

4×5=2

Which of the following is not a statement?
a) Math is hard.
b) v2 is a rational number.
C) Plants require water to live.
d) Lake Martin is a man-made lake.

Answers

This is tricky maybe C

A ) I am just guessing

isbslw

2. Do the representations below define a function? *
10
1
10
2
10
3
10
4
Yes, it is a function,
No, it is not a function,

Answers

Answer:

No it is not a function for sure.

No it is not a function for Sure

Help! I need help with these problems. please help.

Answers

Answer:

1. medium

2. 20%

3. 12.48

4. Noah

Two eights of the championship football game tickets sold for under $30. One eighth of the tickets sold for more than $100. What fraction of the tickets sold for an amount between $30 and $100?

Answers

Answer:

I think 2/8 + 1/8 = 3/8

8/8 - 3/8 = 5/8

2/5 times 17
WHOEVER ANSWERS FIRST I GIVE BRAINY!

Answers

Answer:

6.8

Step-by-step explanation:

(2/5)*17

=6.8

Answer:

the answer is 6.8

Step-by-step explanation:

2                  17

---     x          -------- =      34

5                      1               ------  

                                            5

34 divided by 5 = 6.8

hope this helped have a great day.


What is the least value of x for which the inequality is true?
16 > - 2x

Answers

Answer:

Step-by-step explanation:

16>-2x

-2x<16

x>-8

Please help I’ll mark you as brainliest if correct

Answers

Answer:

D

Step-by-step explanation:

It's D

Answer:

Answer D

Step-by-step explanation:

Its right I just took the test.

Can anyone help me with this? (I also need a reasoning)

Answers

Work:

Substitute the number to corresponding variable.


Sai: B = 2/3G

(4) = 2/3(6)

4 = 4 Correct


Tyani: G = 3/2B

(6) = 3/2(4)

6 = 6


Both are correct.

-6х + 5 y = 1
6х + 4 y = –10

Answers

Times top equation by -1
6x-5y=-1
6x+4y=-10
Subtract bottom equation by top
-9y=9
y=-1
substitute this into an equation
-6x-5=1
add 5 to both sides
-6x=6
x=-1
y=-1 x=-1

Answer: 16-!

Step-by-step explanation:

what is the square root of 121

Answers

Answer:

11

Step-by-step explanation:

On the graph of f(x)=sinx and the interval [0,2π), for what value of x does f(x) achieve a minimum? Choose all answers that apply.

Select all that apply:
0
π/4
π/2
π
3π/2

Answers

Answer:

3π/2

Step-by-step explanation:

See attached graph

Help me with my math **50 pts** I mark brainliest**

Answers

Answer:

2)

[tex]2x + 6x + 8 = 32[/tex]

collect like terms

[tex]8x + 8 = 32[/tex]

move the constant to the right hand side and change its sign.

[tex]8x = 32 - 8[/tex]

Subtract the numbers

[tex]8x = 24[/tex]

Divide both sides of the equation by 8

[tex]x = 3[/tex]

plssssss someone help pls pls pls i dont get this look
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 160°. Find m∠Y

Answers

Answer:

I think the answer is 50.

Step-by-step explanation:

Y + S = 90

S = 4 (Y) - 160

160 = 4 (Y)

Y = 40

90 - 40 = 50

Hope it's correct and helps!

Joan reads that the mass of an average
elephant's brain is 34 kilograms greater
than an average man's brain. How many
kilograms is an average elephant's brain?

Answers

Answer:

35.5 kilograms

Step-by-step explanation:

An average human's brain is 1.5 kilograms.

1.5 + 34 = 35.5

A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:

Answers

Answer:

14.90 to 16.70 tons

Step-by-step explanation:

We are given;

Sample size; n = 49

Mean; x¯ = 15.8

Sample standard deviation; s = 3.85

At 90% Confidence interval, z = 1.645

Formula for confidence interval is;

CI = x¯ ± z(s/√n)

Thus;

CI = 15.8 ± 1.645(3.85/√49)

CI = 15.8 ± 0.90

CI = 14.90 to 16.70 tons

Which expression is equivalent to 2x2 + 2x + 4? (2x - 1)(x + 4) (2x + 1)(x - 4) C (2x + 1)(x + 4) None of these​

Answers

Answer:

D. None of these​

Step-by-step explanation:

Given expression:

2x² + 2x + 4

Answer options for equivalent expression:

A. (2x - 1)(x + 4)= 2x² + 8x - x - 4 = 2x² + 7x - 4

Incorrect

B. (2x + 1)(x - 4) = 2x² - 8x + x - 4 = 2x² - 7x - 4

Incorrect

C. (2x + 1)(x + 4) = 2x² + 8x + x + 4 = 2x² + 9x + 4

Incorrect

D. None of these​

Correct

PLEASE HELP ME ANSWER The probability that Scott will be late for work is 0.15. In a year Scott works for 240 days. Work out the expected number of days that he will be late......

Answers

Answer:

36 days

Step-by-step explanation:

Given

[tex]p = 0.15[/tex] -- probability of coming late to work

[tex]n = 240[/tex] -- number of days

Required

Determine the expected number of days of coming late (E(x))

This is calculated using:

[tex]E(x) = np[/tex]

[tex]E(x) = 240 * 0.15[/tex]

[tex]E(x) = 36[/tex]

The expected number of days is 36

answer this please!!

Answers

Answer:

I really don't know, but you submitted this like 23 hours ago, so I don't think it will help if I answer!!!

Step-by-step explanation:

Can I be Brainliest!!!

ebook
2.3.49
Write an equation in standard form of the line passing through the points (1,5) and (3, 13).

Answers

Answer:

[tex]y - 4x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,5)[/tex]

[tex](x_2,y_2) = (3,13)[/tex]

Required

The equation of the line

Back up:

First, calculate the slope(m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{13-5}{3-1}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m = 4[/tex]

Calculate the area using:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y- 5 = 4(x - 1)[/tex]

[tex]y- 5 = 4x - 4[/tex]

Collect Like Terms

[tex]y - 4x = 5 - 4[/tex]

[tex]y - 4x = 1[/tex]

Which point is a solution to the inequality shown in this graph?
(3, 2)
(-3,-6)

Answers

Answer:

B. (0, 5)

Step-by-step explanation:

All points on the blue shaded area are solutions. Points on the dashed line and on the white area are not solutions.

(-3, -6) and (3, 2) are on the dashed line and are not solutions.

(5, 0) is in the white area and is not a solution.

(0, 5) is in the shaded area and is a solution.

Answer: B. (0, 5)

3/4 X24 in simplest from

Answers

Answer:

3/4 x 24 = 3/4 x 24/1 = 72/4 = 18

Let me know if this helps!

5) Solve the equation for x.
log(x + 1) = 3

Answers

x=2

y=6  

x and yt are different variables

Answer:

999

Step-by-step explanation:

[tex]log(x)=y\\x=10^y\\log(x+1)=3\\x+1=10^3\\x=999[/tex]

What is the slope of the line that passes through (0, -4) and (6,4)? *
3/4
4/3
0 -3/4
- 4/3

Answers

ANSWER:

The Slope to your answer is 4/3

THE MARKED PRICE OF A BOOK IS ₹225 THE PUBILSHER ALLOWS DISCOUNT ₹ 10PERSENT UNIT FIND THE SELLING PROFIT​

Answers

255-10

245 skaisusjxl ksusus

Marked price=Rs. 225
Discount=10%
=
100
10

×225=22.5Rs.
S.P.=M.P.−Discount
=Rs. (225−22.5)
=Rs. 202.5.

the ratio of doors to windows is 1:5 . There are 186 doors and windows in a building . HOw many doors and windows are there?

Answers

Answer:

a. Doors = 31 doors

b. Windows =155 windows

Step-by-step explanation:

Given the following data;

Ratio D:W = 1:5 = 1 + 5 = 6

Total number of doors and windows = 186

Ratio of doors to windows = 1/6

Ratio of windows to doors = 5/6

To find the ratio of the doors;

Doors = 1/6 * 186

Doors = 186/6

Doors =31 doors

To find the ratio of windows;

Windows = 5/6 * 186

Windows = 930/6

Windows =155 windows

Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?

Answers

Answer:

19 quarts

Step-by-step explanation:

you change the measurements to quarts.

Other Questions
Your teacher said to spend no less than 27 minutes on Dreamboc today. You spent 9 minutes on Dreambox in Advisory. How many minutes do you have to complete the requirement. QUICK!!!! pleaseWhich of the following dilutions would produce 2.0M acid from 3.0M acidA) 3.0mL acid and 2.0mL waterB) 2.0mL acid and 1.0mL water C) 2.0mL acid and 3.0mL waterD) 1.0mL acid and 2.0mL water Graph a line with a y-intercept of 3 and containing the point (2, 5).To graph a line, plot two points on the line. Which of the following was not an effect of the Industrial Revolution in America?Group of answer choicesMass production of goodsWomens rights movementThe formation of the War Hawks in the U.S. CongressHigh tariffs please urgent please help Which sentence contains a detail that best supportsDe Sean's claim?sentence 1O sentence 2O sentence 3O sentence 4The answer is D Sentence 4 1. Explain why elements tend to form bonds in compounds and provide two examples of how they can do that.2. Difference between polar and non-polar molecule. Nosotros ____ ir al cine. Let m and n be non-zero rational numbers, and x and y be irrational numbers,Consider the operations below and select all answers that will make eachstatement true. 3. How many kilograms are equal to5,000 grams? A 500 kilogramsB 50 kilogramsC 5 kilogramsD 0.5 kilogram explain how lives are different for women today than they were in the 1800? Mesopotamia became a crossroads of shared traditions most likely dueto 7x^2 + 3 - 5x -\2x^2 ~!! Congruent and Similar Polygons !~~Helps ~ please!~In the picture QCMBWG.What is the ratio of QC to BW?A.) 3/4B.) 4/3C.) 1/2D.) 2/1 Submit your paragraph that reflects on the spelling mistakes, corrections, and spell check use for the passage. Answer the following questions in your reflection:What kinds of mistakes do you see in the passage?Which ones are easier to fix and which are harder?Which mistakes do you think spell check would catch, and which ones would go unnoticed?What are spelling and spell check strategies that can be used for success in your future writings?Be sure to follow correct paragraph structure, and apply what you have learned about spelling and spell check. 9. _____________ have a mass number of 0.10. Particles found in the nucleus are called ______________________.11. _____________________________ is when electrons are released by a hot filament.12. The number of protons and neutrons in an element is called the _______________ number.13. ____________________ was the first atomic bomb dropped.14. _________________ would be an example of a spontaneous change to the nucleus.15. _____________ decay results in the release of two protons and two neutrons.16. __________________ are particles that would be attracted to a positively charged plate.17. __________________________ coined the word radioactivity.18. ____________________________________ is used to produced radioactive isotopes byforcing nuclear reactions.19. During __________________, the nucleus of a Uranium 235 atom is split into lighterelements, neutrons, and energy.20. _________________ are the fastest form of radiation.21. The number of protons in an element is called the _______________ number.22. Irene Curie used ___________________ as the source of alpha particles for her research.23. Uranium goes through _____________ decay ____________ (a number) times to producePlutonium.24. ________________ is a raw Uranium ore which was central to the discovery of radioactivity.25. The ____________________ was cited in the letter signed by Einstein as having ore withhigh concentrations of U-235. Help Please!!!!!!!!!!!!! I need answers ASAP please . I just need number 1. And number 4. What was king louis's authority based on ?marie antionettterrordivine rightthe estates-general I need help, thank you!