Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot.

A.
40 feet

B.
80 feet

C.
117 feet

D.
160 feet

Answers

Answer 1

Answer:

C) 117 Feet

Step-by-step explanation:

The question is ultimately asking for the hypotenuse of the rectangle. We can calculate that with a^2 + b^2 = c^2.

100^2+60^2=c^2

10000+3600=c^2

c^2=13600

c=116.6190379

Round --> 117

Thus the answer, C).


Related Questions

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form

Answers

Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

A store owner must decide whether to continue stocking a particular brand of jeans in the upcoming year. The graph shows the unit sales of this item in the years since the store started stocking it.
The data is best modeled by a
Square Root, Quadratic, Linear

Based on the graph, the store owner
should
Should Not

Answers

The data is best modeled by a Quadratic function, and based on the graph, the store owner should continue stocking the product.

How do we know that the graph models a quadratic function?

Because it decreases in value until the minimum value, then it increases again.

After that, the graph will continue to increase, that is, it will have no more turning points as it is a quadratic function, hence the store owner should continue storing the product.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

If u have 0,-1,1.7, 1/2 do it from least to greatest

Answers

Answer:

-1,0,1/2,1.7

Step-by-step explanation:

Answer:

-1, 0, 1/2, 1.7

Step-by-step explanation:

hope this helps

have a good day

A taxi charges a flat rate of $2.00, plus an additional $3 per mile. If Erica has at most $20 to spend on the cab ride, how far could she travel? Write an inequality and solve

Answers

Answer:

6 miles

Step-by-step explanation:

20.00 - 2.00 = 18

18/3 = 6

she can travel 6 miles

Subtract 8 from me. Then add 9. If you add 12 and then
subtract 4, you get 18. What number am I?

Answers

Answer:

9

Step-by-step explanation:

x - 8 + 9 + 12 - 4 = 18

x = 9

18+4=22
22-12=10
10-9=1
1+8=9
The answer is 9 because of inverse

HELP!!!! NO ABSURD ANSWERS IF YOU DON'T WANT TO GET YOURSELVES REPORTED!! NEED HELP AS SOON AS POSSIBLE!!!!

What is the circumference of a circle with a radius of 3 and a diameter of 14?

PLSSSSS

Answers

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        What is the circumference of a circle with a radius of 3 and a diameter of 14?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Formula for Circumference of a circle:-

[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]

First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).

Now, we substitute 6 (3•2) for d:-

[tex]\sf{C=\pi *6}[/tex]            [π=3.14]

[tex]\bigstar[/tex]On simplification,

[tex]\sf{C=3.14\times6}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\sf{C=18.84\:cm}[/tex]

                 [tex]\rule{200}{2}[/tex]

Now, let's find the circumference of a circle whose diameter is 14:

[tex]\sf{C=\pi d}[/tex]

Substitute 14 for d:-

[tex]\sf{C=14\pi }[/tex]                   Next, substitute 3.14 for pi:-

[tex]\sf{C=14\times3.14}[/tex]

[tex]\bigstar[/tex] Which results in:-

[tex]\sf{C=43.96\:units}[/tex]

Good luck with your studies.

         [tex]\rule{290}{2}[/tex]

How much water is in each basket?

Answers

Answer:

E

Step-by-step explanation:

1 2/3

Divide 5/3 and you get 1 2/3

Answer:

E) 1 2/3

Step-by-step explanation:

5 divided between 3 buckets in 5/3 which in a mixed number is 1 2/3

I need help with this ASAP

Answers

Answer:

hope this will help you........

Half * base * height
1/2 * 6 * 4 * 10
= 120cm (cubed)

i dont know how to do this one

Answers

Answer:

[tex]2\sqrt{34}[/tex]

Step-by-step explanation:

We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.

[tex]6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}[/tex]

hope this helped! :)

Which quadratic model best represents the data? f(x) = –16x2 99x 6 f(x) = –36x2 37x 5 f(x) = 36x2 37x 5 f(x) = 16x2 99x 6

Answers

The quadratic model that represents the data will be A. -16x² - 99x + 6.

What is a quadratic model?

It should be noted that a quadratic model simply means a model that is represented by a quadratic equation in the form of y = ax² + bx + c.

From the complete question, the quadratic model that represents the data will be -16x² - 99x + 6.

In conclusion, the correct option is A.

Learn more about quadratic model on:

https://brainly.com/question/1214333

#SPJ4

Answer:

Step-by-step explanation:


A trampoline park charges $2 plus an hourly rate for each hour. The sign to the
ght gives the prices for up to 3 hours of parking. Which linear equation
epresents the given information where C is the total cost and h is the number of
hours spent at the park?

Answers

The linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The fixed rate is the y-intercept, hence, the linear function that gives the cost of spending h hours at the park is given by:

C(h) = 2 + mh.

In which m is the hourly rate.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Simplify $\frac{4}{\sqrt{3}}$

Answers

The fraction in simplest form is 4 sq root 3/3
Decimal form is 2.3094

х
The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund

Answers

Answer:

Step-by-step explanation: C. pay off credit debt, emergency fund, retirement

Two lines intersecting at a right angle
Oform a line.
Oare parallel.
Oare perpendicular.
Oform a ray.

Answers

They are perpendicular.

PLEASE HELP ME IM IN A HURRY RN

Answers

Answer:

x=-32

Step-by-step explanation:

its the last one

fvwf w ffvfvvrwf wf wfvef wfvfwwfvfwvwfvwfvfwvfwvefvefvef efefvfevfevfvfwvfwvwfvwfvfwvwfvwfvwfv

Which is the
slope-intercept form of the equation of the line with a slope
of -4 that passes through the point (-3, 1)?
Oy=-4x-11
Oy - 1 = -4(x + 3)
Oy+1 = 4(x-3)
y = 4x + 11

Answers

Answer:

y = -4x - 11

Step-by-step explanation:

This equation is in slope-intercept form.

y = mx + b

Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.

Luna works at a party supply store. Today, she is filling balloons with helium for the store to sell. She accidentally overfilled the first few balloons and they popped! If t is the total number of balloons she filled, then t–3 is the number of balloons that can be sold. Luna filled 41 balloons today during her time at work.
How many of the balloons Luna filled today can be sold?

Answers

Answer:

x=36,y=108,z=72

Step-by-step explanation:

I've taken this test before
It's on the state mandated test as well so make sure to study quadratics

Select the correct answer from each drop-down menu.
complete the statements about this function
f(x)= -2\x+1| + 2.
the vertex of the function is la
on the interval (-1,0), the function is
as x approaches positive infinity, the function approaches
infinity

Answers

The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity

How to interpret the function?

The function is given as:

f(x)= -2|x+1| + 2

The above function is an absolute value function

An absolute value function is represented as:

y = a|x - h| + k

Where the vertex is:

Vertex = (h, k)

When a is less than 0, then the vertex is at maximum

By comparison, we have:

a = -2

(h,k) = (-1, 2)

-2 is less than 0

Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity

Read more about absolute value functions at:

https://brainly.com/question/3381225

#SPJ1

pls help i’ll give 20 points and brainliest

Answers

Answer:

all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).

Step-by-step explanation:

use the formulae for each question.

The radius of circle a is 5 cm. the radius if circle b is 5 cm greater than the radius of circle a. the radius of circle c is 3 cm greater than the radius of circle b. the radius of circle d is 1 cm less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d? the area of circle a is ___ cm2.

Answers

Answer:

Theres a lot going on in this question but i tried my best to answer it all, correctly. Sorry if something is wrong or i misread the question. check explanation for answer.

Step-by-step explanation:

I'm not sure to use pi or 3.14 so i just did both.

Circle A's radius = 5cm

Circle B's radius = 10cm

Circle C's radius = 13cm

Circle D's = 12cm

(circle A)

π = 3.14

A = πr²

A = 3.14(5²)

A = 3.14(25)

A = 78.5cm²

π = π

A = πr²

A = π(5²)

A = π(25)

A = 78.54cm²

(circle B)

π = 3.14

A = πr²

A = 3.14(10²)

A = 3.14(100)

A = 314cm²

π = π

A = πr²

A = π(10²)

A = π(100)

A = 314.16cm²

(circle C)

π = 3.14

A = πr²

A = 3.14(13²)

A = 3.14(169)

A = 530.7cm²

π = π

A = π(13²)

A = π(169)

A = 530.9cm²

(circle D)

π = 3.14

A = πr²

A = 3.14(12²)

A = 3.14(144)

A = 452.2cm²

π = π

A = πr²

A = π(12²)

A = π(144)

A = 452.4cm²

452.2 / 78.5 =5.8

circle d is 5( almost 6) times greater than circle A

A Block of wood has a mass volume of 0.8g and volume of 16.0cm³. what is the density?

Answers

Answer:

[tex]0.05cm {}^{3} [/tex]

Step-by-step explanation:

[tex]density \: is \: the \: mass \: per \: unit \: volume \: of \: an \: object \: \\ density = \frac{m}{v} \\ density = \frac{0.8}{16} = 0.05cm {}^{3} [/tex]

10. Factor
Please help me I will mark as brainliest

Answers

Answer:

(3w + 7)² or (3w + 7)(3w + 7)

Step-by-step explanation:

Identity

a² + 2ab + b² = (a + b)² = (a + b)(a + b)

Solving

9w² + 42w + 49(3w)² + 2(3w)(7)  + (7)²(3w + 7)² or (3w + 7)(3w + 7)

You asked students the survey question: How many hours did you do homework last week? The responses were 3, 10, 5, 7, 4, 8, 3, 5, 4, and 2 hours. Which statement best represents the data?


1. Most of the friends who responded did homework for 5 or fewer hours last week.
2. Most of the friends who responded did homework for more than 8 hours last week.
3. Most of the friends who responded did homework for 6 or more hours last week.
4. Exactly half of the friends who responded did homework for fewer than 6 hours last week.

Answers

The first statement best represents this data. 7 out of 10 students did their homework for 5 or fewer hours last week.
1.

If you write it out in order of smallest number to largest number, you can count that only 3 people out of the ten total did over 5 hours of homework

What is the sum of the angles in the image? 154° 106° 144° 164°

Answers

Answer:

154

Step-by-step explanation:

130 + 24 = 154

Mrs. Gurung is a bank Manager in a development bank. Her monthly is Rs 50,000.
ther annual income is equivalent to her 15 month's salary, find her income tax
in a year.

Answers

The income tax of Mrs Gerung based on the information given in a year will be Rs 142000.

How to calculate the tax?

From the information given, the monthly income is s Rs 50,000 and the annual income is equivalent to her 15 month's salary,

The income tax will be:

= 50000 + (450000 × 1%) + (100000 × 10%) + (200000 × 20%) + (125000 × 30%)

= 50000 + 4500 + 10000 + 40000 + 37500

= 142000

Learn more about tax on:

brainly.com/question/25783927

#SPJ1

I need some help answering this

Answers

Answer:

d

Step-by-step explanation:

sin angle (60) would have been equal to 0.5 or a 1/2

and cos angle(60) would have been equal to 0.86 then you'll say square by 3 over 2

Let me know if this answer can work

Best of Luck

Robert climbed 125 steps in five minutes at this rate how many steps did he average per minute

Answers

The solution is 62. We have to multiply the mixed number by the whole number. 12 1/2 is 25/2 so we now multiply by flipping the 25/2 to 2/25 and when you multiply you get 1550/25, which is 62

11. Graph the following equation and if​ possible, determine the slope.
y= -3
Please help I will mark you as brainiest

Answers

Answer:

A. m = 0

Step-by-step explanation:

The slope is 0 as the change in y-value is 0, and change in x-value is infinite.

Graph

How much does Craig earn each month,in dollars?

Answers

Answer:

Craig must be rich LOL cuz It says its 1/20 of his paycheck each month so u have to multiply by 20

Step-by-step explanation:

720*20 = 14440

Do these sides make a triangle ?
Yes or no

1) 7cm , 11cm , 14cm

2) 10cm , 8cm , 2cm

Answers

Answer:

yesno

Step-by-step explanation:

For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.

__

1)

  7 + 11 = 18 > 14 . . . . Will make a triangle.

__

2)

  2 + 8 = 10 . . . not greater than 10. Will not make a triangle.

__

This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...

  a +b > c  and  b +c > a  and  c +a > b

_____

Additional comment

There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.

Other Questions
The difference between a number and seven is less than or equal to -3. Find the possible numbers. n 4 n 4 n -10 n -10 What is the value of y?2578 Why do we study National studies Before Schwarzschild, the understanding of relativity to gravitational force was unknown.t or f According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseline 10 x squared 2 f (x) = 5 x superscript 5 baseline 3 x superscript 4 baseline 12 x cubed 7 x squared minus 2 x 15 f (x) = 6 x superscript 5 baseline x cubed minus 4 x squared x minus 5 f (x) = 7 x superscript 6 baseline 3 x cubed 12 is -0.25 rattional or irrational How did Andrew Johnson affect the reuniting of the United States after the Civil War?A. He created new state constitutions that prevented Confederate leaders from taking positions in government.B. He allowed southerners to retake their lands without pledging oaths of loyalty to the United States.C. He refused to return property to landowning leaders of the Confederacy.D. He granted pardons to thousands of wealthy southern landowners. You and your classmates are working to develop a prototype for a new type of drone. The drone needs to fly and will be controlled by a remote control. Which STEM fields would be most important for you to have knowledge of to build this drone?A) chemistry and botany B) astronomy and geology C) medicine and geology D) physics and computer science First Things First What comedy genre will you research? Type it in the space belowA. Narrow the scope of your research by writing a research question similar to the model in thelesson. Given that z is in set of complex number and a is any real numbers. Solve the trigonometric equation sin(z) = a for all general solutions. Choosing a NonexampleQuickCheckWhich solid is not a pyramid?A Immigration effected our media because they began to bring more knowledge and history of the groups who wereimmigrating to the public.Please select the best answer from the choices providedOTOFSave and ExitNextSubmitMark this and returnentViewers/AssessmentViewer/Activity What's the best way to handle batteries when they become wasteAnswer- Recycle them A box of chocolates contains 10 milk chocolates, 8 dark chocolates and 6 white chocolates. Sung randomly chooses a chocolate, eats it, then randomly chooses another. What is the probability Sung chose a milk chololate then a white chocolate What does the model below represent?2CO + O2 -> 2002O A. The production of oxygenO B. An experimentO C. A release of heatO D. A chemical reaction Which of the following does Morgan NOT guess as the answer to the riddle?ein embarrassed Zebraein painted Stinktiereine ZeitungSchokoladentorte mit Erdbeeren I know the answer but I would like to know how to solve it 1. Why does cabbage juice have different colors at different pH levels? 2. Would the solution be acidic or basic when cabbage juice is pink? Which structural element is present in the excerpt?O stanzaO refrainO couplet* quatrain Part B Por qu Elena ensaya mucho?