A surveyor standing 2,227 ft from the base of the World Trade Center in New York City measured a 31 degrees angle to the topmost point. To the nearest feet, how tall is the World Trade Center?

Answers

Answer 1
Answer: You can make a right triangle with the leg in between the building and the surveyor being 2,227 ft and the height of the building being the other leg (x).  To find x you can use the fact that tan(31)=x/2,227 which means x=tan(31)2,227.  Therefore x=1338.12 feet which means the building is 1338.12 feet tall.
I hope this helps.  let me know in the comments if anything is unclear.

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If five times a number is subtracted from twelve times a number, the result is seven less than twice the number. Find the number.
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There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles

Answers

8 kilometers is the answer

Hope this helps!:)

Answer:

8

Step-by-step explanation:

The length of a rectangle is twice the with. If the perimeter of the rectangle is 60 units, find the area of the garden

Answers

w - width

2w - length

60 - perimeter

w + w + 2w + 2w = 6w - perimeter

The equation:

6w = 60    divide both sides by 6

w = 10 → 2w = 2 · 10 = 20

The area: A = width × length

A = (10)(20) = 200

Answer: The area of the garden is equal 200 square units.

2x+3y=-10 Solve for y

Answers

Answer: y= -10/3 - 2x/3

Step-by-step explanation:

move all terms that dont contain y to the right side and solve

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges.Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points)

Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points)

Answers

Part A
y=6x+12
y=5x+15
x is the amount of windows, y is the total amount of money 
Part B
y=6(8)+12       =60
y=5(8)+15      =52
Company B 
Part C
y=6(6)+12       =48
y=5(6)+12       =42
$6 is saved 

Which function has an inverse that is a function? b(x) = x2 + 3
d(x) = –9
m(x) = –7x
p(x) = |x|

Answers

On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).

Finding the inverse of a function f(x):

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.

4. Replace y with f^(-1)(x). In other words, you’ve managed to find the inverse.

5. Remember: the domain of f is the range of f^(-1) and the range of f is the domain of f^(-1).

Using this algorithm, you can find the inverse only in case C:

for m(x)=-7x:

1. y=-7x.

2. x=-7y.

3. y=-x/7.

4. m^(-1)(x)=-(x)/(7).

5. The domain and the range of m(x) are all real numbers as well as the domain and the range of m^(-1)(x).

Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.

Hello,

Answer C

y=-7x ==>x=-7y==>y=-x/7 is the inverse of m(x)
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Situation #3: Jamie can type 243 words in 3 minutes. How many words canshe type in 10 minutes?

Answers

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

I ain’t never seen two pretty best friends