In order for Tiger Woods to get the ball in the hole, he must get it within an area of 14.18 square inches. What is the approximate diameter of a golf hole?

30 points pls show work thank you so much!!!

Answers

Answer 1

It can be noted that the diameter will be 4.26 inches.

How to calculate the diameter?

From the information given, the area has been given as 14.18 square inches.

Therefore, the diameter will be calculated thus:

πr²= 14.18

3.14 × r² = 14.8

r² = 14.18/3.14

r² = 4.5

r = 2.13

Therefore, the diameter will be;

= 2r

= 2 × 2.13

= 4.26 inches.

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Related Questions

what is the mean for 98,78,84,75,91

Answers

the mean is going to be 85.2

Find the slope of the line passing through the pair of points (5,8) (-4,6)​

Answers

Answer:

0.222

Step-by-step explanation:

the slope of a line is equal to (y2-y1)/(x2-x1)

y1= 8

y2= 6

x1=5

x2=-4

(6-8)/(-4-5)

=0.222

1/7 x 2/3
whats the answer? show ur work

Answers

Answer:

Step-by-step explanation:

1/7×2/3=2/21

Solution with Steps

1/7×2/3=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×2 and 7×3=2/21

This fraction cannot be reduced.

Therefore:

1/7×2/3=2/21

Solution by Formulas

Apply the fractions formula for multiplication, to

1/7×2/3

and solve

1×2 and 7×3

=2/21

Answer:

1/7 × 2/3 is 2/21

becuase, if you times the numerators, which are the top numbers; and then the denominators which are the bottom numbers; like if you multiply 1×2 you get 2 and 7×3 is 21.

Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?

Answers

Answer:

6 hours and 24 min

Step-by-step explanation:

The distance is:

60*8 = 480 miles

Return trip will take:

480/75 = 6.4 hours = 6 hours and 24 min

I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?

Answers

The number of cats that you have is; 27 cats

How to calculate algebra word problems?

Let the number of cats alice has be x.

Since you have thrice the amount of cats that alice has, then you have 3x cats.

Bob has 7 less cats than you. Thus, bob has; 3x - 7

If they have a total of 56 cats, then;

x + 3x - 7 + 3x = 56

7x - 7 = 56

7x = 56 + 7

7x = 63

x = 63/7

x = 9

Thus, number of cats you have = 3x = 3 * 9 = 27 cats

Read more on algebra word problems at; https://brainly.com/question/13818690

help please!
I need to prove this using identites
show all steps

cosx+cos7x/sinx-sin7x=-cot3x​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\cos A+\cos B=2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \cos \bigg(\dfrac{A-B}{2}\bigg)\\\\\\\sin A-\sin B=2\cos \bigg(\dfrac{A+B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-B}{2}\bigg)[/tex]

Use Even/Odd Identities:    cos (-A) = - cos A

                                             sin (-A) =   sin (A)

Use Quotient Identity:   [tex]\cot A=\dfrac{\cos A}{\sin A}[/tex]

Proof LHS →  RHS:

[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\cos x+\cos 7x}{\sin x - \sin 7x}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{2\cos \bigg(\dfrac{x+7x}{2}\bigg)\cdot \cos \bigg(\dfrac{x-7x}{2}\bigg)}{2\cos \bigg(\dfrac{x+7x}{2}\bigg)\cdot \sin \bigg(\dfrac{x-7x}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{2\cos \bigg(\dfrac{8x}{2}\bigg)\cdot \cos \bigg(\dfrac{-6x}{2}\bigg)}{2\cos \bigg(\dfrac{8x}{2}\bigg)\cdot \sin \bigg(\dfrac{-6x}{2}\bigg)}[/tex]

                          [tex]= \dfrac{ \cos (-3x)}{\sin(-3x)}[/tex]

[tex]\text{Even Odd:}\qquad \quad \dfrac{ -\cos (3x)}{\sin(3x)}[/tex]

[tex]\text{Quotient:}\qquad \quad -\cot(3x)[/tex]

LHS = RHS  [tex]\checkmark[/tex]

A rectangular city is 2 miles long and 7 miles wide. What is the distance between opposite corners of the city? The exact distance is ______________ miles How far is it to the closest tenth of a mile? Answer: The distance is approximately ___________ miles.

Answers

Answer:

  √53 ≈ 7.3 miles

Step-by-step explanation:

The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.

__

If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...

  c² = a² +b²

  c² = 2² +7² = 53

  c = √53 . . . . . exact corner-corner distance in miles

  c ≈ 7.3 . . . . . . approximate corner-corner distance

The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.

You were asked to factor 16x^4 + 25. Which of the following is true? ANSWER ASAP

Answers

Answer: Please explain what you mean by "Which of the following is true?"

Overall, This is the step to solve the equation.

Step-by-step explanation:

16x4=64

64+25=89

Which graph has a rate of change of zero?

Answers

Answer:

not on screen

Step-by-step explanation:

rate of change of 0 is a horizontal line

rate of change of zero should be a horizontal line on line x

Samuel found the difference of the polynomials.What value is missing from his solution? What value is missing from his solution?

Answers

is there a picture I can see

Answer:

A or 8

Step-by-step explanation:

WILL GIVE BRAINLIEST

Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2

1.5x^2+6x+...

Answers

Answer:

[tex]1.5x^2+6x+6[/tex]

Step-by-step explanation:

Collect 1.5 from everything, noticing that [tex]6= 1.5\times 4)[/tex]

[tex]1.5(x^2+4x + b^2)[/tex]

Now let's remember that the square of a binomial is [tex](x+b)^2 = x^2+2xb+b^2[/tex], confronting with what we have inside the bracket, [tex]2bx = 4x \implies b=2[/tex]

Our completed bynomial becomes [tex]1.5(x^2+4x+4) = 1.5x^2+6x+6[/tex]

Answer:

1.5x² + 6x + 6

Step-by-step explanation:

1.5x² + 6x + ? = a(x + b)²

a = 1.5

2ab = 6

ab = 3

b = 3/1.5

b = 2

So, inputting all the values :-

a(x + b)²

1.5(x + 2)²

1.5(x² + 4x + 4)

1.5x² + 6x + 6

The answer to this question.

Answers

Answer: B

Step-by-step explanation: It’s just about respect and good attention. Watching body language can help you know how they are feeling or if their verbal words match their feelings.

A swimming pool holds 2,640,000 quarts of water.
How many gallons does it hold?
Enter your answer as a number, like this: 42

Answers

Answer:

660,000 gallons.

Step-by-step explanation:

Quarts refers to a unit of measurement of volume of a fluid such as water. Quart is typically a standard unit in the British Imperial (imperial quarts) and United States of America (U.S) Customary systems (liquid and dry quarts) of measurement as a unit of volume or capacity.

Generally, there are three (3) types of quarts still in use today; dry quarts, imperial quarts and the liquid quarts.

A quart has the symbol "qt" and it's typically calculated as a quarter (¼) of a gallon.

Mathematically, it is given by the expression;

[tex] 1 \; Quart = 0.25 \; Gallon[/tex]

Therefore, [tex] Gallon = Quart * 0.25[/tex]

Given that the volume or capacity of the swimming pool is 2,640,000 quarts.

[tex] Gallon = 2,640,000 * 0.25[/tex]

[tex] Gallon = 660,000 [/tex]  

Hence, the gallons of water of a swimming pool holding 2,640,000 quarts of water is 660,000 gallons.

please help please help

Answers

Answer:

1/16 meters

Step-by-step explanation:

perimeter of a square = 4 x length of each side,

so the length of each side is (1/4)/4 = 1/16 meters

An item is regularly priced at $40. It is now priced at a discount of 20% off the regular price. What is the price now?

Answers

Answer:

$32

Explanation:

40 x .2 = 8

40 - 8 = 32

What is the value of 5.7 x 1089

Answers

Answer:

570,000,000 is the answer hope this helps ^^

Step-by-step explanation:

Answer:

6,207.3

Step-by-step explanation:

=> 5.7 x 1089

multiply 1089 by 5.{=[tex]6,207.3[/tex]

What is the slope intercept form of (-4,-5); and slope 1/2

Answers

Answer:

[tex]y=0.5x-3[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-4, -5) = (x, y)
[tex]m=\frac{1}{2} =0.5[/tex]

To find the slope intercept form of the given information we will have to use the formula y = mx + b where m equals the slope.

[tex]y=mx+b[/tex]
[tex]-5=0.5(-4)+b[/tex]
[tex]0.5\times-4=-2[/tex]
[tex]-5=-2+b[/tex]
[tex]-2+2=0[/tex]
[tex]-5+2=-3[/tex]
[tex]b=-3[/tex]
[tex]y=0.5x-3[/tex]

Which means your answer is "y = 0.5x - 3."

Hope this helps.

10. Given a = 7, b = 6, and c = 10, use the Law of Cosines to solve for A. Round your answer to the nearest degree.

11. Find the area of the triangle given a = 13, c = 21, and B = 87 degrees. Round your answer to the nearest tenth.

12. Find the area of the triangle given a = 6, b = 16, and C = 95 degrees. Round your answer to the nearest tenth.

Answers

Answer:

10) 44° (nearest degree)

11) 136.6 units² (nearest tenth)

12) 47.8 units² (nearest tenth)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

All 20 people must go as one group if they want to save $500.

You measure containers for international shipments. The height of the standard container is 6 feet and 7 inches. What is its height in meters?

Answers

Answer:

2.042 meters hope this helps

The height of the container in meters is 2.0066.

What is unitary method ?

Unitary method is a mathematical way of first determining the value of a single unit then deriving the given unit from it.

According to the given question containers for international shipments measures 6 feet and 7 inches.

We know 1 feet is 12 inches.

6 feet is (12 × 6) = 72 inches.

So, 6 feet 7 inches is (72 + 7) inches which is 79 inches.

We know 1 inches is 0.0254 meter.

∴ 79 inches is ( 79 × 0.0254 ) meter which is

= 2.0066 meters.

learn more about unitary method here :

https://brainly.com/question/21648365

#SPJ2

solve the inequality and state the answer in interval notations 3x-7 ≤ 14

Answers

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

I NEED HELP PLEASE I don't know how to do it

Answers

Answer:

$1.68

Step-by-step explanation:

To find the answer we have to find the unit price of the coffee per one ounce.

$11.78 ÷ 7 = $1.68285714

Round your answer to the nearest cent.

$1.68

The cost per ounce is $1.68.

Brainliest if correct

Answers

Answer:

27

Step-by-step explanation:

-3 - (-6) x 5

(-6) x 5 = -30

-3 - (-30)

two minuses makes a plus

-3 + 30

= 27

Answer:

27

Step-by-step explanation:

-3 - (-6) * 5

-3 + 6 * 5

-3 + 30

27

Hope this helps! Have a lovely day! :)

(btw this time i made sure to read the question properly lol)

ANSWER CORRECTLY FOR 25 POINTS!!!
Use this rule to fill in the table.
Rule: Add 8 to the input to get the output.
Add 8
Input Output
1 8
3 24
_ 18

Please fill out the "_"

Answers

Answer:

10

Step-by-step explanation:

just minus 8

orrr ig you could do:

x is the input

y is the output

y = 8 + x

18 = 8 + x

(minus 8 on both sides)

x = 10

Answer:10

Step-by-step explanation:

Your subtract 8 from 18 and get 10

Find the measures of all of the angles.

Answers

Step-by-step explanation:

I've shown the process in the picture

hope it helps

Helllllllllpppppppppp

Answers

Answer:

C

Step-by-step explanation:

Literally just do the work yourself man...

The equation y=-3x² describes a parabola. Which way does the parabola open?

A. Left
B. Right
C. Up
D. Down

Answers

D. Down should be correct

Mary drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?

Answers

Answer: 13.60 gallons divide 355 by 17 to get the base miles per gallon then use that and divide it 284 by 20.88

Step-by-step explanation:

Step-by-step explanation:

17g = 335miles

1g = 335÷17

= 19.70588235

284miles = (284÷19.70588235) × 1

284miles = 14.4119403

Answers:

284miles = 14.41gallons (2.dp)

OR

284miles = 15gallons (nearest whole number)

I'm doing a project for math where I have to come up with a real-life story problem using the Pythagorean theorem. I need to write a story problem of finding a leg.

Please help me
I'll give brainiest

Answers

Answer:

One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?

Step-by-step explanation:

Chloe performs two transformations on trapezoid ARCD Io prove that it is congruent to trapezoid EFGH. Move phrases to the table to show two transformations that Chloe could perform reflection across a vertical line reflection across a diagonal line clockwise rotation of 90 degrees reflection across a honzontal line clockwise rotation of ISO degrees​

Answers

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

A practice field is in the shape of a rectangle. The area of the practice field is represented by 5x^2 + 30x -7xy -42y. Find the expressions that represent the length and width of the practice field.

Answers

Answer:

length and width are x + 6 and 5x - 7y

Step-by-step explanation:

5x² + 30x - 7xy - 42y

= 5x(x + 6) - 7y(x + 6)

= (x + 6)(5x - 7y)

so

length and width are x + 6 and 5x - 7y

Other Questions
i need help with these two questions..:) please help!15 points!!!!!! Corresponding AnglesI16. Given that I lm, find the value of 'X'.4x + 10m8x 25 Read the following excerpt from The Story of My Life by Helen Keller and then answer the question that follows.The morning after my teacher came she led me into her room and gave me a doll. The little blind children at the Perkins Institution had sent it and Laura Bridgman had dressed it, but I did not know this until afterward. When I had played with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-l-l." I was at once interested in this finger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childish pleasure and pride. Running downstairs to my mother I held up my hand and made the letters for the doll. I did not know that I was spelling a word or even that words existed; I was simply making my fingers go in monkey-like imitation. In the days that followed I learned to spell in this uncomprehending way a great many words, among them pin, hat, cup, and a few verbs like sit, stand, and walk. But my teacher had been with me several weeks before I understood that everything has a name. I left the well-house eager to learn. Everything had a name, and each name gave birth to a new thought. As we returned to the house every object which I touched seemed to quiver with life. That was because I saw everything with the strange, new sight that had come to me.Which of the following best summarizes the excerpt?Helen's teacher taught her all objects to have a name opening the world of language.Helen was excited to learn that everything had a name so that she could talk with her teacher.Helen's teacher taught her to fingerspell d-o-l-l so she knew how to tell her teacher what toy she wanted to play with.Helen liked to touch all the objects in the house so she knew which ones she wanted to play with. According to Newton's First Law, what will an object in straight-line motiontend to do?O A. Slow down because of frictionB. Speed upC. Stay in straight-line motionD. Experience a force The difference between well defined concepts and essential contestable The intended audience of this source was the State Department and other government officials who shaped foreign policy. Alfred Mahan wrote this book to argue that naval supremacy determined a nations power. How might the intended audience and purpose have shaped his writing? Please help Image attached Proteins, starches, fats, and oils are made from _____.glucoseauxincytokininphloem which number comes after 3,265 and before 5,631? 5. The diagram shows two paths that lead through a park. Would a jogger run a greater distance on Path Aor Path B? Explain. I need help quickly please Read each sentence. If it is a run-on, put an X on the line. If it iscorrect, put a on the line.1 Mandela was sent to prison he was separated fromhis family and friends.2 He studied Afrikaans, the language of the whiteSouth Africans.3 He wanted to understand the white South Africanstheir views were different.4 His countrymen were not educated he respected them. Which of the following works of art most successfully lends itself to proportional color analysis? A. Akimbo B. Mt KatahdinC. A Bit of the Roman AqueductD. Mo Write the equation of the line that goes through (-2,4) and (2,8) Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation. questions to ask community about water shortages A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.761 b=20.501 r^2=0.643204 r=0.802 Use this to predict the number of situps a person who watches 2 hours of TV can do ( to one decimal place ) What's the correct IUPAC name of the structure shown? A. MethylhexeneB. 4-methylhex-1-eneC. Hex-1-eneD. 3-methylhex-5-ene Which of the following BEST explains why using more than one assessment of cardiorespiratory fitness gives a better picture of fitness level?A.No individual cardiorespiratory fitness test is accurate.B.Heart and lung fitness must be assessed separately.C.Using more than one assessment provides a more complete picture of an individual's fitness level.D.all of the abovePlease select the best answer from the choices provided.ABCD What would happen if sodium and potassium are placed in hot water?