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
gladu [14]
3 years ago
10

A ladder is leaning against a building.The distance from the bottom of the ladder to the building is 6ft shorter than the length

of the ladder.How high up the side of the building is the top of the ladder if that distance is 3ft less than the length of the ladder
Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0

Answer:

15 ft

Step-by-step explanation:

Hi, the illustration for the problem is a right triangle with:

hypotenuse (C)= the length of the ladder = L

horizontal side(A) = distance from bottom of the ladder to the building = L - 6

vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3

So, we can use Pythagoras formula:

A2 +B2= C2

(L – 6 )² + (L-3)² = L²

L²-12L+36+L²-6L+9 =L²

L2 -18L+45 =0

APPLYING QUADRATIC FORMULA WE OBTAIN:

L =15 OR L=3

If L=3

Vertical side = L-3 = 0 (Length can´t be 0)

So L=15

You might be interested in
The histogram below represents the high temperatures recorded each day over month period. Which of the following statements are
Kisachek [45]

Answer:

See possible solutions below.

Step-by-step explanation:

The statements are not given. But the following can be determined from the graph:

  • More days recorded temperatures between 82 and 84 then other temperatures.
  • The least number of days recorded temperatures between 88 and 90.
  • The histogram is skewed to the right also known as positive skewed distribution.
  • The mean and median will most likely be in the range of 82-84 temperatures. But the mean will be greater than the median.
4 0
3 years ago
5<br>Convert 1101 two to base 5​
Lina20 [59]

the answer is 23...........

3 0
3 years ago
What is the exponential function modeled by the following table?
Ksivusya [100]

we have given the values of x and f(x) in the table we have x=2 and f(x)=5 for this if we plug x=2 in option f(2)=2^2+1=4+1=5.

for f(3)=2^3+1=8+1=9.

f(4)=2^4+1=16+1=17 .so the exponential function modelled by the table is option B)f(x)=2^x+1.

6 0
3 years ago
What is the value of x?
Temka [501]

Answer:

x = 35°

Step-by-step explanation:

A triangle = 180°

The 95° is outside of the triangle so it must be smaller.

So say it is 85°

85 + 60 = 145

180 - 145 = 35

6 0
3 years ago
Jeremy wants to buy a new computer. The saleswoman says that he can make a down payment and then pay for the computer in install
slava [35]

Answer:

t=x+yz

Step-by-step explanation:

We are given the equation;

x=t-yz

and asked to make t the subject of the formula. We simply take the term yz to the left hand side of the equation leaving t as the subject in the right hand side. Thus, the total price is equal to the down payment + total installments

7 0
3 years ago
Other questions:
  • There are s swimmers in the swimming club. The club bought 15 swimming caps to split among its members. Write an expression that
    8·1 answer
  • What multiply what equals 26 using numbers between 2 and 9?
    5·1 answer
  • El triple de un numero
    9·1 answer
  • A cookie factory used 43.9 kilograms of chocolate chips to make 2 batches of cookies. How many kilograms of chocolate chips did
    15·1 answer
  • A circular pool if filling with water. Assuming the water level will be 4' deep and the diameter is 20' , what is the volume of
    15·1 answer
  • 5 over 6 plus 5 over 9 Awnser choices 1, 1 and 1 half, 2 and 1 half, 3
    10·2 answers
  • The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population
    9·1 answer
  • Is this table a function?<br> Yes<br> No
    9·1 answer
  • Which group of numbers are all prime?
    14·1 answer
  • 6 bags of Skittles cost $3. How much is one bag?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!