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
MrRa [10]
3 years ago
12

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 22 feetfeet less than th

e length of the ladder. find the length of the ladder if the distance from the bottom of the ladder to the building is 1010 feet.
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:
{c}^{2}  =  {a}^{2}  + {b}^{2}  \\  {h}^{2}  =  {(h - 22)}^{2}  + {1010}^{2}  \\ {h}^{2}  =  {h}^{2} - 44h + 484 + 1020100
The h^2 terms cancel out to = 0
0 = - 44h + 484 + 1020100 \\ 44h = 1020584 \\ 44h \div 44 = 1020584 \div 44 \\ h = 23195.1 \: feet
You might be interested in
A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his neighbor’s dog for $15 per
gladu [14]

Answer:

7 weeks

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Chelsea makes $9.00 an hour working at Chick-Fil-A. She plans to buy some music for her phone and Air Pods that cost $278.10. Wr
Talja [164]

Answer:

31 hours

Step-by-step explanation:

To at least buy the Air-Pods she will need to work at least 31 hours. You can either round at the beginning or end, I'll demonstrate rounding at the end.  Divide $278.10 by $9.00, getting 30.9. You would have to round up to insure you have enough money, getting 31 hours

6 0
3 years ago
If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.
UNO [17]

Answer:

  192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

__

The value of 80% of the number will be the sum of 55% and 25% of the number.

  n×80% = n×55% +n×25%

  n×80% = 132 +60

  n×80% = 192

80% of the number is 192.

_____

<em>Additional comment</em>

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

__

If you were interested, you could determine 100% of the number to be ...

  132/n = 55/100   ⇒   n = 132(100/55) = 240

or

  60/n = 25/100   ⇒   n = 60(100/25) = 240

Then ...

  0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

  80%/55% = n/132   ⇒   n = 132(80/55) = 192 . . . . 80% of the number

  80%/25% = n/60   ⇒   n = 60(80/25) = 192 . . . . 80% of the number

__

"Look carefully" includes thinking about the ways the <em>givens</em> and the <em>finds</em> are related.

4 0
2 years ago
4x-12y=-8 what is the answer
umka21 [38]

Answer:

You aren't asked which variable to solve for.

If we're solving for x then

4x = 12y -8

x = 3y - (8/4)

If we're solving for y

-12y = -4x -6

12y = 4x +6

y = (x/3) + (1/2)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the term to term rules for 2,6,18,54,162
faltersainse [42]

Answer:

a, ax3 =b, bx3= c , cx3=d, dx3=e

Step-by-step explanation:

2, 2×3=6, 6x3=18,18 x3 =54, 54x3= 162

Multiplication of three with previous number will give you next number in series.

4 0
2 years ago
Other questions:
  • A sports store near Big Bear Lake is having a 20% off sale on all water skis. What will the sale price be for water skis which r
    15·1 answer
  • If y=10 find x if y=3 when x=11
    15·1 answer
  • Which of the following represents 3,280 written in scientific notation?
    10·2 answers
  • 3. Suppose U= {1,2,3,4,5,6,7,8,9,10} is the universal set and Q= {3,6,9}. What is Q'?
    7·1 answer
  • What are the square roots of 64? A) 0, 8 B) 2, 32 C) 4, 16 D) 8, -8
    13·1 answer
  • Simplify the ratio 12:18​
    12·2 answers
  • Solve the following equation for x.<br> 3(1+5) = 1 + 19<br> The solution is x =
    9·1 answer
  • A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Felicia read
    15·1 answer
  • Simplify each expression. 3 v + 10 v
    8·2 answers
  • Gotta question what us 9 times 8 Do not answer the question without showing your work or I'm reporting you because your stealing
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!