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
Liula [17]
2 years ago
5

City A is 10 miles from city B and 5 miles from city C. Cities A, B, and C form a right triangle at A. A road connects cities B

and C directly. Find the length of this road.
Mathematics
1 answer:
laila [671]2 years ago
3 0

Answer:

11.18 miles

Step-by-step explanation:

The sides of a right triangle a, b, c are related by the equation

a^2 + b^2 = c^2

where c is the longest side of the triangle

Hence given that A connects B and C directly and forms a right angle at A

5^2 + 10^2 = c^2

Where c is the length of the road

25 + 100 = c^2

125 = c^2

c = 125^1/2

= 11.18 miles

You might be interested in
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
Find the missing terms in the following sequence 2,4,8,16,30, , , , 186,
ivann1987 [24]
Are you sure it is correct because for each one your just doubling the number. 2+2=4. 4+4=8. 8+8=16. I think its suppose to be 16+16= 32 and so on, but I may be wrong
5 0
3 years ago
PLSS HELP ME WITH THIS! 20 POINTS
Svetradugi [14.3K]

Answer:

C)

Step-by-step explanation:

Every x is 6 times bigger than y

3 0
2 years ago
Read 2 more answers
What is 9% expressed as a decimal?
kakasveta [241]

Answer:

0.09

Step-by-step explanation:

7 0
2 years ago
1 quart=4 cups (whats the answer?)
Sever21 [200]

Answer:

1quart 4cups =8quatcups

Step-by-step explanation:

thanks:)

7 0
2 years ago
Read 2 more answers
Other questions:
  • A ball has a diameter of 14 inches. Which choice is closest to its surface area? Use 3.14 to approximate pi.
    5·1 answer
  • 163 rounded to the nearest ten
    7·2 answers
  • What is the value of X in the figure<br> X=...
    14·2 answers
  • chris and molly wins $2400 in a competition they share the money in the ratio2:3 how much money do they each receive ?​
    9·1 answer
  • A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of can
    7·1 answer
  • What is the measure of the missing side
    6·2 answers
  • The tape diagram below represents 100% percent.
    14·1 answer
  • What side has the same length as BC?
    6·2 answers
  • Two adjacent rooms are rectangles, both of length 13 feet by 10 feet. Jerry wants to change the carpets in both rooms. How many
    12·1 answer
  • If the perimeter of this triangle is 15 centimeters, what is the value of n?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!