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
ivann1987 [24]
3 years ago
12

One leg of a right triangle has a length of 7m. The other sides have lengths that are consecutive integers. Find these lengths.

Mathematics
1 answer:
Sergio [31]3 years ago
3 0

Answer:

24m and 25m.

Step-by-step explanation:

By Pythagoras Theorem:

h^2 = x^2 + 7 ^2       where h  is the hypotenuse and  x is the other leg.

But x and h are consecutive integers

so h = x + 1 and:

(x + 1)^2 = x^2 + 49

x^2  + 2x + 1 - x^2 = 49

2x + 1 = 49

2x = 48

x = 24

So the 2 lengths are 24 and 25.

You might be interested in
1st question: Reuben received 80 dollars. Write a signed number to represent this change.
lesya692 [45]

Answer:

1) +80

2) -1520

Step-by-step explanation:

Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.

Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.

1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.

2) We are told that A car corporation produced 1520 fewer cars this month than last.

Thus, the signed number will be negative since there is a decrease in number of cars.

Thus, signed number = -1520

7 0
3 years ago
You can text 44 words in 1 minute. Write a proportion to help you find
Natalka [10]

Answer:

176 words

Step-by-step explanation:

1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:

<u>44 words</u> = <u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>x</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

1 minutes = 4 minutes

2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.

3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!

4) multiplying 44 by 4 would get us our answer which is 176

im not the best at math but i this explanation helped <33

5 0
3 years ago
I am needing help with this question!!
Leni [432]
The answer is C. y = - 2x - 1

hope that helps!! :)
6 0
3 years ago
How long will it take an airplane to travel 1,250 kilometers if it is traveling at 150km/hr
Mila [183]
Time = distance/speed
So all you have to do is plug the numbers in and you get the answer
Time = 1,250 kilometres/150 kilometres per hour
Time = 8.333 hours
7 0
3 years ago
Read 2 more answers
On the day of his 18th birthday harry decided to start saving up money regularly starting on that day he could save £30 on the s
Arada [10]

Answer:

£15120

Step-by-step explanation:

60-18= 42  years

42×12= 504 months

504×30=£15120

6 0
3 years ago
Other questions:
  • Outline the characteristics of a model which predicts its capital adequacy over a decade into the future of long term insurance?
    11·1 answer
  • Help me plz u will make my day
    13·1 answer
  • Lines m and n are graphed on the coordinate plane below select all of the statements that are true
    11·2 answers
  • A FedEx treight truck carries three tons of packages 660 miles on 90 gallions of diesel fuel from Miami, FL. to Atlanta, GA. Fed
    9·1 answer
  • A standard I.Q. test produces normally distributed results with a mean of 104 and a standard deviation of 16 for 52,000 students
    6·1 answer
  • When Felix started his paper route, he had 25 customers. Every second week he gained 2 new customers. Every third week he lost a
    12·1 answer
  • 8. Separate 84 into two parts such that one part will be 12 less than twice<br> the other.
    13·1 answer
  • 1/5 of 45 is what number?
    13·1 answer
  • 121 slabs . How many slabs will she need to lay in each row to make a square
    8·1 answer
  • (3,10) and (6,13)Put in slope-intercept form
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!