Eric, Cam, and Brooke are playing a game of mini golf on a computer. The computer program for the game stores

objects in terms of x and y coordinates. All coordinate values are in meters.

The players are shooting at the hole, which is located at (3,2). After hitting their initial shots, Eric's golf ball is at

(-6,6), Cam's golf ball is at (8,-6), and Brooke's golf ball is at (10,8).

If the player whose ball is farthest from the hole should shoot next, which player should shoot next?

Answers

Answer 1

Answer:

Eric

Step-by-step explanation:

First, we determine the distance of each player to the hole using the distance formula.

Given points [tex](x_1,y_1)$ and (x_2,y_2)[/tex]

Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Eric

The hole is at (3,2)

Eric's golf ball is at point (-6,6)

Distance=[tex]\sqrt{(-6-3)^2+(6-2)^2}[/tex]

[tex]=\sqrt{(-9)^2+(4)^2}\\=\sqrt{97} \\\approx 9.85[/tex]

Cam

The hole is at (3,2)

Cam's golf ball is at point (8,-6)

Distance=[tex]\sqrt{(8-3)^2+(-6-2)^2}[/tex]

[tex]=\sqrt{(5)^2+(-8)^2}\\=\sqrt{89} \approx9.43[/tex]

Brooke

The hole is at (3,2)

Brooke's golf ball is at point (10,8)

[tex]Distance=\sqrt{(10-3)^2+(8-2)^2}\\=\sqrt{(7)^2+(6)^2}\\=\sqrt{85} \approx 9.22[/tex]

Since Eric's ball is the farthest from the hole, Eric should shoot next.

Answer 2

Answer: Erick

Step-by-step explanation: 9.85


Related Questions

Can someone please help me with this?

Answers

i’m doing the first one.

the filled in circle goes to the 8 and put an arrow facing the right.

inequality-

x ≥ 8

Plz help Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:

Color of Tile
Purple
Pink
Orange
Number of times the tile is drawn
4
24
22


What is the experimental probability that Jenny will pull out an orange tile? 22 over 50 17 0ver 50 22 over 28 or 17 over 28

Answers

Answer:

22/50?

Step-by-step explanation:

Answer:

22/50

Step-by-step explanation:

This is an experimental probability. This means that it is based on the experiment given to us. We know that out of the 50 times that she has pulled a tile out of the bag, she has gotten orange 22 of those times. Based on those results we can say that the probability of her choosing an orange again is 22/50. Or 44%.

what is s10 for 1 + 2 + 4 + 8+...

256
511
1023
2047

Answers

Answer:

1023

Step-by-step explanation:

[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]

a = first term

r = common ratio

n = number of terms

Here we have

a = 1

r = 2

n = 10

[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]

[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]

[tex] S_{10} = \dfrac{-1023}{-1} [/tex]

[tex] S_{10} = 1023 [/tex]

Of course, since 10 is not such a large number of terms, you can simply do this:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023

Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player need to raise more? How can estimation help you solve?

Answers

Answer: A softball player will need to raise more.

Step-by-step explanation:

The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:

$318.12 ÷ 12 = $26.51

The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:

$391.92 ÷ 24 = $16.33

A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.



Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2

Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) 107 inches2

Step-by-step explanation:

4*16= 64

64/2 = 32

9+16 = 25

25/2 = 12.50

12.50*6 = 75  

32 + 75 = 107

Got it right in USA TESTING

If the interest charge is 1.5 percent per month on an overdraft, how much interest is due one month after an overdraft of $50?

Answers

Rewrite the percentage as a decimal:

1.5% = 0.015

Multiply by the amount of the overdraft:

50 x 0.015 = 0.75

The interest is $0.75

If x is 6, then 7x =

Answers

Answer:42

Step-by-step explanation:

if x=6 u change the x with 6 then the equation would be 7x6= 42

What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t

Answers

Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)

The correct statement is option A)

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]

which can be re written as h(t)=  [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]

Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.

For instance, at t= -4 we have

8/25 - 16=15.68

and at t=4 we have

8/25 - 1/16 =0.2575

And it intercepts the x-axis at (1.644,0)

Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.

Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.

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PLEASE HELP ME!! IM IN DESPERATE NEED OF HELP
The length of a rectangle is three times as long as its width. The width of this rectangle is 6 inches smaller than its length. Find the length and the width

Answers

Answer:

12

Step-by-step explanation:

Answer:

width is 3 and length is 9

Step-by-step explanation:

width is 3 bcs 3*3=9-6=3 satisfied?

7. A random sample of size n is collected from a considerably larger population
of size N. That sample is used to create a 95% confidence interval to estimate a
population proportion. Using the same sample proportion, the confidence
interval would be narrower if:
(A) A smaller sample size was used.
(B) A t-procedure was used instead of a z-procedure.
(C) A higher confidence level was used.
(D) The population size N was larger.
(E) A lower confidence level was used.​

Answers

Answer:

B. Larger sample size and lower confidence level

Step-by-step explanation:

The margin of error of a confidence interval is given by the following formula:

In which  is the standard deviation of the population and n is the size of the sample.

z is related to the confidence level. The higher the confidence level, the higher the value of Z.

So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.

We want to decrease the margin of error.

So the correct answer is:

B. Larger sample size and lower confidence level

Answer:

(E) A lower confidence level was used.

Step-by-step explanation:

The correct answer is (E). With the sample proportion remaining the same, a lower confidence level results in a lower margin of error and a narrower interval.

Imagine you are at home watching television. You are sitting 6 feet away from your TV which is hung on the wall and the top of it is 8 feet off the ground. Which of the following functions correctly represents the angle θ that you make with the top of your television?

Answers

You can trace a right triangle with these features:

- the 6 feet distance represents the horizontal distance from you to the TV, this is the base of the triangle or the adjacent leg

- the 8 feet distance is the vertical distance from the base of the triangle to the TV, this is the height of the triangle or opposite leg.

- the angle theta that you make with the top of your TV is

 tan (theta) = opposite leg / adjacent leg = 8/6 =4/3

=> theta = arctan (4/3) = 53.13 degrees.

Answer: 53.103 degrees

Answer:

53.1

Step-by-step explanation:

many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key

Answers

Answer:

so its either 13/20

Step-by-step explanation:

if you get this wrong sorry:(

The answer is 13/20

Explanation:
20 is the denominator because it is how many drinks there are in total. 13 is the numerator because that’s how many are Diet Pepsi’s and you cannot simplify this. That’s why the answer in 13/20.

P.S whenever you can simplify this you should :)

Help ASAP please ! Explain too if you can

Answers

Answer:

B

Step-by-step explanation:

180-118=42 so angle c=42

add 42 +76 =138

in a triangle all degrees ad up to 180 so

subtract 138 from 180=42

Answer:

B) 42 degrees

Step-by-step explanation:

If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)

So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.

Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.

Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)

Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42

So the measure of angle E is 42.

I will give brainliest to any correct answer. Question is the image attached, please answer asap.

Answers

i would say C. because since its 4 times the radius then you factor in thats only half of the circle then you factor in the other side which makes it 8 hope this is true

What number is the opposite of 98?

Answers

Answer:

-98

Step-by-step explanation:

hope this is right

Answer:

-98

Step-by-step explanation:

a negative number is the opposite of a positive number

2. The size of a conC. 3 times the size of a cylinder is:
A. 1/3 the size of a cylinder.
B. 2/3 the size of a cylinder.
C. 3 times the size of a cylinder.
D. the same as the size of a cylinder.

Answers

Answer:

The answer is A.

Step-by-step explanation:

30 points + brainly
Question one ( both questions use the same picture)


The histogram below represents the heights of the Boston Celtics. What size are the intervals on the histogram?


2 inches

3 inches

4 inches

5 inches


Question 2

The histogram below represents the heights of the Boston Celtics. Which of the following statements is true?


The mode interval of this set is 79” – 81”.

There are more players between 73” and 75” than there are between 82” and 84”.

The most number of players are in the interval between 76” and 78”.

The fewest number of players are in the interval between 82” and 84”.

Answers

The size of the intervals on the histogram would be 3 inches .

There are more between 73 and 76 than there are between 82 and 84 !

Answer: 3 inches

The mode interval of this set is 79” – 81”.

Step-by-step explanation: You are looking for the mode which means the one that occurs most frequently

KN and JM are diameters of circle I. Find m LIM.

Answers

Answer:

46 degrees

Step-by-step explanation:

please anwser this picture

Answers

Answer:equal

Step-by-step explanation:

Answer equal

Step-by-step explanation:

Which line segment is drawn in the figure?
w
DYZ
WY
XZ
I wz

Answers

Answer:

XZ

Step-by-step explanation:

X and Z are points so that makes 2 endpoints, and a line segment

Can someone help me with this? ;^;

Answers

Answer:

The mode would be 10

Step-by-step explanation:

Because it is there more than the others

hope this helps! =D

Answer:

10

Step-by-step explanation:

i need help with this question quick




What is the length of BC as shown on the number line?


A)
−137


B)
−80


C)
67


D)
83

Answers

the answer is D trust me I’m so smart

A gym has two different membership offers. The usual offer is $10 per month (m) plus a $300 set-up fee. The promotional offer is $30 per month (m) with no set-up fee. Write a system of equations that models the total costs (c) that both memberships offer. Write your equations separately but do not include spaces within each equation.

Answers

10m+300=c
30m=c
i dunno if i did it right hh

What's the best way to revise for a (maths) test? Any specific tips, techniques?

Answers

Answer:

Use your notes and study guides

Step-by-step explanation:

Answer:

The best way to revise for a math test is first by going over any quizzes or homeworks you got wrong. See what you did wrong and try to redo them. Another thing you can do is practice problems. Go online and find some practice tests or problems on the topic your test is on. Good luck!

Use the Remainder Theorem to find the remainder for (2x^3- 3x^2+x)/(x-1) and state whether or not the binomial is a factor of the

polynomial.

Answers

remainder = 0
I’m so sorry if it’s incorrect :(

As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.

Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial

2x³ - 3x² + x.

Therefore,

2(1)³ - 3(1)² + 1 = 0

2 - 3 + 1 = 0.

3 - 3 = 0.

0 = 0.

So, The binomial x - 1 is a factor of the polynomial.

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CAN YOU HELP ME ON NUMBER 19

WHOEVER COMES FIRST I WILL GIVE 5 STARS I PROMISE :)

Answers

Answer:

i think it's b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It would be B because there are different number spikes in the different ages for the different reasons. Therefore there is no association with the two ages

please help me with this one question, thank you

Answers

Answer:

See attachment

Step-by-step explanation:

Answer:

Step-by-step explanation: You’re going to plot a point on the y-axis ay the number 1 then your going to move up two spaces and left three spaces and then draw a line through the two points

A manager of a grocery store wants to determine if consumers are spending
more than the national average of $150 with a standard deviation of $30. The
manager collects 10 random receipts and finds that the average customer
spends $160. He then concludes that his customers do spend more than the
national average. a) What do you see as his error in this assumption? b) How
could you redesign the study to correct it?*

Answers

Answer:

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

[tex]\bar x[/tex] = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < [tex]\bar x[/tex] < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

What is the surface area of the rectangular pyramid? m2

Answers

Is the base (leght width) plus the areas of each of the four triangular faces

Answer:

82.8

Step-by-step explanation:

Find the measure of the third angle of a triangle if the measures of the other two angles are given. 31.8 and 89.8

Answers

Answer:

58.4 Degrees

Step-by-step explanation:

Look at the attachment

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The measure of the third angle of a triangle is 58.4°.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The sum of all the angle of the traingle is always 180°.

31.8° + 89.8° + x = 180°

x = 58.4°

Hence, the measure of the third angle of a triangle is 58.4°.

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