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
marysya [2.9K]
3 years ago
14

Andrew needs a ladder to hang holiday lights. His house is 24 feet tall and he has a flower bed that extends 4 feet out from the

side of the house. How long of a ladder will he need to reach the top and be out of the flower bed?
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

24.33 feet

Step-by-step explanation:

The flower bed, the ladder and the house form a right angled triangle where the length of the ladder is the hypotenuse side.

Let L = length of ladder, H = height of house = 24 feet and l = length of flower bed = 4 feet.

Using Pythagoras' theorem,

L² = H² + l²

So, L = √(H² + l²)

substituting the values of the variables, we have

L = √[(24 ft)² + (4 ft)²]

L = √[576 ft² + 16 ft²]

L = √[592 ft²]

L = 24.33 ft

The ladder must be at least 24.33 feet long to reach the top and be out of the flower bed

You might be interested in
Each year, Sandy measures the height of a tree growing in her yard. The graph shows the yearly height. Choose any two points on
inna [77]

Answer:

4.513451241 sq feet wide x 12.41255213 sq feet

Step-by-step explanation:

5 0
3 years ago
How much of each ingredients would you need to make 100 quarts of punch
seraphim [82]

Answer:

20 quarts of each ingredient, i'm assuming because lack of details.

8 0
3 years ago
Use compound interest to find the total amount for $845 at 1.25% for 6.5 years
densk [106]

Answer:

$911.02

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.25%/100 = 0.0125 per year,

then, solving our equation

I = 845 × 0.0125 × 6.25 = 66.015625

I = $ 66.02

The simple interest accumulated

on a principal of $ 845.00

at a rate of 1.25% per year

for 6.25 years is $ 66.02.

8 0
2 years ago
What is the scale factor
insens350 [35]

Answer:

24/18 = 4/3

Step-by-step explanation:

There are 2 possibilities. It's up to what is the exact statement abount the figure.

24/18 = 4/3 or 3/4


5 0
3 years ago
Read 2 more answers
A card is being drawn from a standard deck of playing cards. Find each probability.
EastWind [94]
These are 6 questions and 6 answers.

To find each probability we will use the definition of probability:

Probability = number of positive outcomes / number of total possible outcomes

1) <span>P(Jack or ten)
</span>

<span>Answer: 2/13 ≈ 0.12
</span>

Justification:

i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.

ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes

 
iii) Probability, P


P = number of positive outcomes / number of total possible outcomes

P = 8 / 52 = 2/13 ≈ 0.15

<span> 2.P(red or black)
</span>

Answer: 1

Justification:

i) Positive outcomes

Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52


ii) Possible outcomes: 52 cards


iii) Probaility, P 

P = number of positive outcomes / number of total possible outcomes

P = 52 / 52 = 1

<span> 3.P(queen or club)
</span>

Answer: 4/13 ≈ 0.31

Justification:


i) Positive outcomes

There are 4 Queens.

There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.

But you cannot add all of them, because one club is the Quenn of Clubs.

Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16



ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 16 /52 = 4 / 13 ≈ 0.31


<span> 4.P(red or ace)
</span>

Answer: 7 / 13 ≈ 0.54


Justification:


i) Positive outcomes

Half of the cards are red: 26

There are 4 aces. 

Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28

ii) Possible outcomes: 52 different outcomes


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 28 / 52 = 7 / 13 ≈ 0.54

<span> 5.P(diamond or black)
</span><span>
</span>
Answer: 1/2 = 0.5

Justification:

i) Positive outcomes

There are 52 / 4 = 13 diamonds

There are 26 black cards.


All the diamonds are black cards.

Then, the number of different diamond or black cards is 13 + 26 - 13 = 26

ii) Possible outcomes: 52 different cards.

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 26 / 52 = 1/2 = 0.5

6.P(face card or spade)

Answer: 11/26 ≈ 0.42


Justification:

i) Positive outcomes

Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.

The spades are 13 cards.

Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22


ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 22 / 52 = 11 / 26 ≈ 0.42
4 0
3 years ago
Other questions:
  • Write 5600 in standard form
    7·2 answers
  • 70 = -7 k solve the equations
    14·2 answers
  • Sebastian scored a 94% on a test. Frankie answered 43 questions correctly out of 50 total questions. Who scored higher on the te
    14·2 answers
  • You have two similar candles. Candle A is 12 inches long and burns at a rate of 1 inches
    14·1 answer
  • map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every $$20 miles. What
    11·1 answer
  • Please third time asking I’ll mark brainliest
    8·2 answers
  • Pls help will mark brainliest​
    6·1 answer
  • 6 1/2 divided by 3/4
    5·1 answer
  • A=5 and b=-5 , 2ab-a^(2)
    12·1 answer
  • Help me with this Please.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!