1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Delicious77 [7]
2 years ago
10

7)

Mathematics
1 answer:
Llana [10]2 years ago
4 0

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

<em>21, 33, 45...</em>

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as T_n = a + (n-1)d

a is the first term = 21

d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n

<em>Hence the equation for the nth floor of the tower is expressed as </em>T_n = 9+12n<em></em>

<em></em>

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

T_n = 9+12n\\T_{65} = 9 + 12(65)\\T_{65} = 9+780\\T_{65} = 789 ft

<em>Hence the height of the 65th floor is 789feets.</em>

You might be interested in
PLEASE HELP !!!
GrogVix [38]
<h3>Answer: D. 80% of the home’s value</h3>

============================================================

Explanation:

As you probably expect, the first number 80 refers to the percentage the first loan covers. If the house is say $100,000, then the first loan is $80,000 while the second loan is the remaining $20,000.

An 80/20 mortgage, or similar, will have two monthly payments because you are getting two mortgages bundled together. Usually you should pay a down payment, though it may likely depend on your credit history. Those with good credit will pay less or no down payment, compared to those with worse credit will have to pay more down payment. A good rule of thumb is that 20% of the home's value is made as down payment, though this isn't what the "20" in "80/20" is referring to.

An 80% down payment is extremely high and unreasonable. Not many people have that kind of money laying around. A similar story applies to a 20% interest rate which is incredibly large for a mortgage rate (typically they are in the single digits such as 3%).

7 0
2 years ago
Y=+4=3/4 (x-1)<br><br> Find a point on the line and the lines slope
snow_tiger [21]

Answer:

slope = -3/4

Step-by-step explanation:

Slope:

− 3/4

y-intercept:  

13 /4

Any line can be graphed using two points. Select two  values, and plug them into the equation to find the corresponding  values.

x   |  y

0   |  13 /4

1   |   5/ 2

Hope this helps @(^_^)@

3 0
2 years ago
How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?
Jlenok [28]
Use the permutation formula
nPr = (n!)/((n-r)!)
20P15 = (20!)/((20-15)!)
20P15 = (20!)/(5!)

The final answer is choice A

8 0
3 years ago
Read 2 more answers
Ordering the Angle Measures of a Triangle
mel-nik [20]

Answer:

  C, B, A

Step-by-step explanation:

The sides in order from shortest to longest are ...

  AB = m-2

  AC = m

  BC = m+4

The angles opposite these sides will be in order, smallest to largest. The angle opposite is the one whose letter is <em>not</em> in the line segment name.

  C, B, A

7 0
2 years ago
2 more than 3 times a number is 17 as an equation
Paladinen [302]
2 + 3x = 17
2 + 3(5) = 17
2+ 15 = 17


4 0
3 years ago
Read 2 more answers
Other questions:
  • Let B=[-1 3 6 -3].Find-4B.
    10·1 answer
  • The sum of 5 times the width of a rectangle and twice its length is 26 units. The difference of 15 times the width and three tim
    12·1 answer
  • A family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of
    10·1 answer
  • I WILL BRAINLIEST U IF U HELP ME PLEASE
    15·1 answer
  • How many cubic inches of water will a spherical water ballon hold with a surface area of 113.04
    8·1 answer
  • Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the left over casserole.
    8·1 answer
  • Betsy is ordering prizes for a school fair. She must order 2 helium balloons for every 5 people and 3 stuffed animals for every
    13·1 answer
  • Classify ∠2 and ∠6. Compare angle measures, and give the postulate or theorem that justifies it.
    9·1 answer
  • 3/2-(-3/4)+1/4 <br><br> solve please
    9·1 answer
  • let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!