At the end of her work day at the Ferguson Corporation, Sarah usually

walks to the subway station to travel home. Today, she is walking to the

Springdale Town Center first to take care of some errands. She will then

continue walking to the subway station to travel home. The map of these

routes is shown below.

2000 feet

Subway

Ferguson

Corporation

Station

Springdale

Town Center

If Sarah walks to the Springdale Town Center from the Ferguson

Corporation and then to the Subway Station, how much farther will she

walk than if she walks directly to the Subway Station from the Ferguson

Corporation? Show all of your work.

Answers

Answer 1

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

At The End Of Her Work Day At The Ferguson Corporation, Sarah Usuallywalks To The Subway Station To Travel
Answer 2

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

See more about triangles at brainly.com/question/2269348


Related Questions

If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards
did he mow during the rest of the week?

Answers

Answer:

I am going with zero yards.

Step-by-step explanation:

If Bob mowed 14x² + 12x – 3 yards total for the entire week, how many yards

did he mow during the rest of the week?

If he mowed 14x² + 12x – 3 yards for the entire 7 days of the week.  He would not have anymore days to left in the week to mow, so he mowed ZERO more yards

Question 7
7. Given h(x) = 4x + 5(x – 3), what is the
value of h(10)?
A. 75
B. 50
C-30
D. 35
Choice A
NO LINKS

Answers

Answer: A. 75

Step-by-step explanation: Hope this help :D

Evaluate for x=10

(4)(10)+5(10−3)

(4)(10)+5(10−3)

=75

one isotope of chromium has a half life of 18 hours. How long does it take 100 grams to decay to 20 grams?

Answers

Answer:

41.79 hours

Step-by-step explanation:

The Half-time Decay Formula: [tex]N=N_0(\frac{1}{2})^\frac{t}{d}[/tex]

Where [tex]N_0[/tex] is the original number, and t = time, and d = time it takes to half

18 would be d

100 would be [tex]N_0[/tex]

and 20 would be N

[tex]20=100(\frac{1}{2})^\frac{t}{18}[/tex]

[tex]0.2=(\frac{1}{2})^\frac{t}{18}[/tex]

[tex]log_\frac{1}{2}0.2=\frac{t}{18}[/tex]

[tex]18* log_\frac{1}{2}0.2=t[/tex]

[tex]18* \frac{log_{10}0.2}{log_{10}\frac{1}{2}}=t[/tex]

= 41.79470571

Choose Yes or No to tell if each statement is true.

3.072 > 3.2

728.307 > 729.07

12.040 = 12.04

531.135 < 531.315

Answers

Answer:

No, no, yes, yes

Step-by-step explanation:

3.072 is not bigger than 3.2, so incorrect (no)

728.307 is not bigger than 729.078, so incorrect again (no)

12.040 does equal 12.04, so correct (yes)

531.135 is smaller than 531.315, so correct (yes)

Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(

Answers

Answer:

28 of the student do not snowboard

Step-by-step explanation:

Lee is buying roses. If each rose costs $2, which equation does not describe how many roses Lee might buy for $24?

Answers

Answer:

[tex](a)\ y = 2x[/tex]

[tex](b)\ x= 12[/tex]

Step-by-step explanation:

Given

[tex]rose = \$2[/tex]

Solving (a): The equation

Let

y = total amount

x = number of roses

So:

If [tex]x = 1, y = 2[/tex]

If x = x.

[tex]y = 2* x[/tex]

[tex]y = 2x[/tex]

Solving (a): Number of roses for $24

This implies that

[tex]y = 24[/tex]

So:

[tex]y = 2x[/tex]

[tex]24 = 2x[/tex]

Divide both sides by 2

[tex]12 = x[/tex]

[tex]x = 12[/tex]

Help!!!! No links PLEASE!!!

Answers

Answer:

1. R

2. K

3. (3,4)

4. (0,0)

math question 30 points if you answer

Answers

Answer:

Step-by-step explanation:

h(t) = - 16t² + 22t + 6

h = 13.5625 ft

Volume (look at the picture)

Answers

Answer:

72

Step-by-step explanation:

volume = l x w x h

4 x 3 x 6

What percentage (nearest whole percent) is budgeted for entertainment if $200 is allotted from a total budget of $1260 ?

Answers

200/1260= .15873
Answer:16%

Please help me it would mean the world. A lot of points!
The answer is 80cm^2 provided by my teacher I just need the work.

Answers

The area of a parallelogram is l x h, so the work is just 8cm x 10cm = 80 cm^2

Solve the equation below. you must show all your work, and have the correct answer.

9x + 10 = 12x – 11

Answers

Answer:

x=7

Step-by-step explanation:

You need to bring 9x to the right side and bring '-ll' to the left side so it will be 11+10 = 12x-9x. Then you calculate 11+10, which is 21, then you subtract 12x to 9x. Then it will be 21 = 3x. Lastly, you divide 3 on both sides of the equation and get x to be 7!

Answer:

x=7

Step-by-step explanation:

9x+10=12x-11

-9x. -9x. subtract 9x from both sides

10 = 3x-11

+11 +11. add 11 to both sides

21 =3x

divide by 3x (21 ÷3=7) therefore x=7

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{6}[/tex] units = g

Step-by-step explanation:

You can solve this either of the 2 ways:

#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]

=> Sin(60) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]

=> Cos(30) * [tex]2\sqrt{2}[/tex] = g

=> [tex]\sqrt{6}[/tex] = g

Hope this helps!

What are the domain and range of the function represented by the set of
ordered pairs?
{(-9,-3), (8,0), (10,-4), (11,6)}

Answers

Domain (the range of x values)
Range (the range of the y values)

Domain: (-9, 11)
Range: (-4, 6)

Answer:

domain: {-9,8,10,11}

range: {-4,-3,0,6}

Step-by-step explanation:

did the test already

please help me


i’m stuck

Answers

Answer:

14 mins

Safest answer and may be correct

When a number is increased by 23. the result is 42. What equation fits this statement?​

Answers

Answer:

n + 23 = 42

Step-by-step explanation:

Well, let's see.

Let's name the number "n".

So, n + 23 = 42.

And there's your answer.

Hope this helped! :)

Answer:

y + 23 = 42

y = 19

Step-by-step explanation:

y + 23 = 42

Subtract 23 from both sides:

y + 23 - 23 = 42 - 23

y = 19

Use the long division method to find the result when 6x3 + 10x² + 7x + 2 is
divided by 3x + 2.

Answers

Answer:

6x3+10x2+7x+2/3x+2

Step-by-step explanation:

help me with my math please

Answers

the answer would be C

Answer:

[tex]C)~2~in[/tex]

Step-by-step explanation:

[tex]v=4/3 \pi r^3[/tex]

[tex]4=4/3~\pi r^3[/tex]

[tex]12/4\pi =r^3[/tex]

[tex]\sqrt{3/\pi } =\sqrt{r^3}[/tex]

[tex]0.977=r[/tex]

[tex]D=2r[/tex]

[tex]D=2(0.977)[/tex]

[tex]D=1.9544~orD=2~in[/tex]

--------------------------------

hope it helps...

have a great day!!

PLEASE HELP

I WILL BRAINLIEST !

Answers

Answer:

10 1/12

Step-by-step explanation:

In order to subtract fractions, you have to give them a common denominator.

18 1/2 can be rewritten as 18 6/12, as they are the same thing and 6/12 simplifies to 1/2. We make it 6/12 because we have to subtract it by 8 5/12, and the denominators are both 12.

So now we have 18 6/12 - 8 5/12, which gives us 10 1/12.

Aimee lives 8/9 mile of the park. She has walked 3/5 of the way to the park. How far Aimee walked? is it multiplying or adding

Answers

Answer:

Yesterday,Annie walked 9/10 mile to her friend's house.Together,they walked 1/3 mile to the library.Which is the best estimate for how far Annie walked yesterday? a)about 1/2 mile b)about 1 mile c)about 1 1/2 miles d)about 2 miles ===== 0.9 + 0.333 = 1.233 miles

Step-by-step explanation:

Please help! I'll give you brainliest if you get it right!
Write the piecewise function for the graph.

Answers

Answer:

In the picture

Step-by-step explanation:

First, find a function for each line.

-2x - 2 fits the green line because for every x value, y is -2(x) - 2.

2x + 1 fits the red line because for every x value y is 2(x) + 1.

You also need to include "if." -2x -2 if x < 0.

For the red line, the dot is closed so if x ≥ 0.

I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober

Answers

Answer:

D

Step-by-step explanation:

SPONGEBOB!!

Tan?cos? Sin? What is the m

Answers

Answer:

45º

Step-by-step explanation:

Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.

Find the diagonal of a television screen 30 inches wide by 35 inches tall.
Round answer to the nearest tenth (if necessary).

Answers

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in

Which graph represents this table of an arithmetic sequence?

Answers

Answer:

the x axis contains the arithmetic sequence

Helpmeeeeeeeeeeeeeeeeeeee

Answers

Answer:

first question: c. x = 1

6. B. y = -2x - 8

Step-by-step explanation:

first question:

perpendicular means that when it intersects, it makes a right angle.

the equation y = 5 would be parallel to any of the answers with y = ___ because all of those would result in horizontal lines

either of the x = ___ would be perpendicular to y = 5

since it has to pass through the point (1,3) that means that the equation must be x = 1

the equation x = 1 passes through any point beginning with (1 , _)

6.

parallel means that the equations have the same slope. therefore, we can eliminate both A and C

using the given point (-2 , -4),we can plug into the y = mx + b format to solve

m = -2   x = -2   y = -4

-4 = (-2)(-2) + b --> -4 = 4 + b --> b = -8

finally, our equation comes out to be y = -2x - 8

Which expression is shown in the table above?

Answers

Answer:

Step-by-step explanation:

A

Let A be the set of all strings of decimal digits of length 5. For example 00312 and 19483 are two strings in A. You pick a string from A at random. What is the probability that the string has no 4 in it

Answers

Answer:

0.59049

Step-by-step explanation:

Set of all digit strings of length 5

Digit range = (0 - 9) = 10

Length of digit = 5

Total possible outcomes = 10^5 = 100000

String without a 4 ;

Digit range = (0,1,2,3,5,6,7,8,9) = 9

Length of digit = 5

Required outcome = 9^5 = 59049

Required outcome / Total possible outcomes

59049 / 100000

= 0.59049

PLEASE HELP ME !!!!!!!!!!!

Answers

10 and 43

Step-by-step explanation:

math

A dartboard has 20 equally divided wedges and you are awarded the number of points in the section of your dark lands in if you are equally likely to land in anyways what is the probability you were score more than five points

Answers

Answer:

[tex]Pr =0.75[/tex]

Step-by-step explanation:

Given

See attachment for wedge

Required

[tex]P(x > 5)[/tex]

The sample space of the wedge is:

[tex]S = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}[/tex]

[tex]n(S) = 20[/tex]

The outcomes greater than 5 are:

[tex]x > 5 = \{6,7,8,9,10,11,12,13,14,15,16,17,18,19,20\}[/tex]

[tex]n(x>5) =15[/tex]

So, the probability is:

[tex]Pr =\frac{(n(x>5)}{n(S)}[/tex]

This gives:

[tex]Pr =\frac{15}{20}[/tex]

[tex]Pr =0.75[/tex]

Other Questions
ia had 50 carrot sticks for herstudy group to snack on. There were6 people eating the carrot sticks, andeach person ate an equal number ofcarrots until there werent enoughleft to share equally. How manycarrot sticks were left over? Explain. One gallon of gasoline in Buffalo,new York costs $2.29 .Across the border in Toronto,Canada, one liter of gallon costs $0.91 Solve for v.9,45 6,1v = 2,8v + 13,98 Please no troll include work What is the perimeter of this shape? Use numbers only. * Which of the following is an example of an environmental impact of agriculture?high use of mineral resourceshigh use of waterhigh use of gold, copper, and silverhigh use of rock supplies A child pool is 3.8 feet wide 5.5 feet long and 1.2 fee deep, what is the volume of the pool? Pls helppppppAdd the mixed numbers 9 3/5 + 10 3/5, write the answer as a mixed number. Which verb best completes the sentence?Select the word from the drop-down menu.Each of the contestants who signs in Choose... a spot.A, earnb, earningc, earns does anyone know what happened to the tutors?? Volume (look at the picture) The Grand Canyon is more than 400 km long and in some places almost 2 km deep. Which model best represents the main process that formed the Grand Canyon? PLEASE USE REAL ANSWERS!!! NO LINKS OR I WILL REPORT!!!Why do oligopolists frequently appear to act together? Find the area of the circle. Use 3.1442 mm what would you recommend as a policy to reduce racial profiling during stop and frisks. What is success in 5 sentences??? Write a poem describing success. Someone pls help me! Sally has 3 yards of yarn. She will use 6 inches per bracelet. How many bracelets can she make? Can someone please help me I will mark u brilliant help me with this math question please I'm giving away brainliests UML Foods reported $940 million in income before income taxes for 2020, its first year of operations. Tax depreciation exceeded depreciation for financial reporting purposes by $120 million. The company also had non-tax-deductible expenses of $80 million relating to permanent differences. The income tax rate for 2020 was 35%, but the enacted rate for years after 2020 is 30%. The balance in the deferred tax liability in the December 31, 2020, balance sheet is: