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

solve for the value of n

Answers

Answer:

N = 27

Step-by-step explanation:

The total value would be 90 , as it is a right triangle . Starting from the aforementioned number and subtracting it by the given values above shall reward you with the correct answer .

90 - ( 6 + 3 ) = 81

81 / 3 = 27

ALSO GIVE ME BRAINLIEST PLEASE :)

Answer:

i think 27??

Step-by-step explanation:

n+6 +90+2!+3=180

You have a moving box with a volume of 16 ft3. You know that the box has a length of 2 ft and a height of 4 ft, but you don’t know the width. You need to know all three dimensions to make sure it can fit in the back of the truck. What is the width of the box?
3 ft
4 ft
2 ft
5 ft

Answers

Answer:

2ft

Step-by-step explanation:

The width of the box is 2 ft.

Here,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

We have to find the width of box.

What is Volume of box?

The volume of box is defined as, the multiply of length, width, height.

Now,

Volume of box = 16 ft^3

Length of box = 2 ft

Height of box = 4 ft

Since, Volume of box = Length x width x height

Let width of box is x ft.

Volume of box = 2 * x * 4

16 = 8x

x = 2

Hence, The width of the box is 2 ft.

Learn more about the volume visit:

https://brainly.com/question/15102472

#SPJ2

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

2+2


I really struggle with this one plz help

Answers

2 + 2 = 22









Jk is 4 lol

Answer:

4

Step-by-step explanation:

lol ur kidding . of not u should work really hard :)

What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5

Answers

Answer:

x → +∞, y → +∞

x → -∞, y → -∞

Step-by-step explanation:

The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.

Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).

Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4

Answers

Answer:

-6

Step-by-step explanation:

substitute x=-2

f(-2)=(-2)-4=-6

Answer:

- 6

Step-by-step explanation:

f(x) = x - 4

f( - 2) = - 2 - 4 = - 6

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

The graph of y = f(x) is shown below. Find the value of f(9).







Answers

Answer:

f(9) = 4

Step-by-step explanation:

Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then

The value of f(9) = 4

Find the lines of symmetry for each shape. Select all that apply.​

Answers

Answer:

It is T and R

Step-by-step explanation:

solve for the value of k

Answers

Answer:

k = 42

Step-by-step explanation:

This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:

(k+1) + 47 = 90

k + 1 = 43

k = 42.

K=42
So (42+1)=43 2*43=86 (86+4)=90
I think so thanks

What is the value of x in the equation 3x − 2 = x + 8?

Answers

Answer:

x=5

Step-by-step explanation:

We need to find the value of x the given equation: 3x-2=x+8

the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side

here's the equation:

3x-2=x+8

first, add 2 to both sides

3x-2=x+8

   +2   +2

___________

3x=x+10 (2 goes away on the left side, as -2+2=0)

now, subtract x from both sides

3x=x+10

-x   -x

______

2x=10 (x goes away on the right side, as x-x=0)

we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)

divide both sides by 2

x=5 (because 2x/2=1x, or x. 10/2=5).

therefore, the value of x is 5

Hope this helps!

What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.

Answers

Answer:

B is 5/8

Step-by-step explanation:

Note: 4/8 = 1/2 and 6/8 = 3/4

I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?

Answers

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

I need help with 13 ABCD

Answers

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit?

Answers

Answer:

4:24

Step-by-step explanation:

12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24

hope that helps!!

Answer: 1 : 6

Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .

PLZ HELP I MAKE YOU BRAINILY!!!!!

Answers

Answer:

755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

Answer:

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

Please mark me as brainliest!!!!!

What is the coefficient of the fifth term in a binomial that is raised to the sixth power?

15
5
20
6

Answers

the answer is 15 :))

Answer:

It is 15. Therefore, the coefficient's of the fifth term of binomial expression raised to the power six is 15

PLEASE HELP WITH THIS

Answers

Answer:

a.2

b.area of one triangular faces =9m²

2×9m²18m²

Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.

Answers

Answer:

90°, 78°, 12°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then

x + 7x - 6 = 90

8x - 6 = 90 ( add 6 to both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Then

second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 90°, 78°, 12°

Plz answer i'll give brainliest but it has to be right.

Answers

3 -3/4 and 2 pls brainlest

4x-3=2x+7 please help shdjdjsjsjsndjxj

Answers

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

4x−3−2x=2x+7−2x

2x−3=7

Step 2: Add 3 to both sides.

2x−3+3=7+3

2x=10

Step 3: Divide both sides by 2.

x=5

And theres our answer.

Hope this helped! :)

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x= 7 +3

2x=10

2x/2=10/2

x=5

What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306

Answers

Step-by-step explanation:

h(-3)=6×2 - 2(-3) + 12

12+6+12

=30

Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

can someone please make a word problem for this I have no idea what to do

Answers

Answer: The ans is always c

Step-by-step explanation:

What do you mean and what does the problem have to be about? Ty :)

Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.

Answers

C I just did the same answer

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

dependent because it involves something that involves something else

how do I do this? I'm confused.​

Answers

Step-by-step explanation:

[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]

1) which rule best describes the following pattern?
8,4,10, 6, 12, 8, 14, ...
1) Divide by 2, add 6, subtract 4, repeat
) Subtract 4, add 6, repeat.
» Subtract 4, add 6, subtract 6, repeat.
Divide by 2, add 6, repeat

Answers

Answer:

Step-by-step explanation:

Option C is the correct answer

5. If two angles are complementary and one angle is 40°, what is the other angle?
6. If two angles are supplementary and one angle is 40°, what is the other angle?

Answers

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5) complimentary angles = 90

If one is 40 then the other is = 90-40= 50

6) Supplementary angles = 180

If one is 40 then the other is = 180 - 40 = 140

Hope u understand

Please mark as the brainliest

Thank You

Which statement is true
A. If a relationship is non - linear, it is not a function
B. A graph of a curve is linear
C. A graph that shows a constant rate of change is linear
D. A non - linear relationship has a constant slope.

Answers

Answer:

C is correct

Step-by-step explanation:

I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!

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