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
Delicious77 [7]
2 years ago
10

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find

the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.​
Mathematics
1 answer:
andre [41]2 years ago
7 0

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

a^2+b^2=c^2

We can set the length of a leg as an unknown variable x.

x^2+4^2=(3x)^2

Remember that it is the whole 3x term being squared, meaning that it'll simplify to 9x^2, not 3x^2.

x^2+16=9x^2

8x^2=16

x^2=2

x=\sqrt{2}

This means we can plug back in to find the sides.

The hypotenuse would be 3\sqrt{2}, or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

You might be interested in
Which is the graph of the system of equations <br> Y=3x+6 and y=3x+1?
34kurt

The answer is B let me know if this helps ok.

8 0
2 years ago
37.5 to the nearest degree
frutty [35]

Answer:

38 degrees

Step-by-step explanation:

if it is half a tenth or more, it gets rounded up to the next degree

5 0
3 years ago
Read 2 more answers
If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?
Citrus2011 [14]

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

6 0
2 years ago
Solve this equation showing all work-4× -16× -24​
densk [106]

Answer:

-20x-24

Step-by-step explanation:

To solve this equation, we can simply subtract like terms from left to right.

-4x-16x=-20x

Since we cant do anything with the -24, its stays the way it is.

The simplified equation is -20x-24

Hope this helps!

5 0
3 years ago
One concern of a gambler is that she will go broke before achieving her first win. Suppose that she plays a game in which the pr
Ray Of Light [21]

Answer:

The probability that she wins exactly once before she loses her initial capital is 0.243.

Step-by-step explanation:

The gambler commences with $30, i.e. she played 3 games.

Let <em>X</em> = number of games won by the gambler.

The probability of winning a game is, <em>p</em> = 0.10.

The random variable <em>X</em> follows a Binomial distribution, with probability mass function:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2,...

Compute the probability of exactly one winning as follows:

P(X=1)={3\choose 1}(0.10)^{1}(1-0.10)^{3-1}\\=3\times0.10\times0.81\\=0.243

Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.

4 0
3 years ago
Other questions:
  • In order to conduct a certain experiment, four students are randomly selected from a class of 20. how many different groups of f
    5·1 answer
  • The following data shows the weight in pounds of six bags what is the value of the mean absolute deviation of the weights of the
    5·1 answer
  • Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?
    13·1 answer
  • When a colcano erupts the height of the peak id reduced and the upper portion is removed the height of a volcano after it erupte
    9·1 answer
  • 1 1/16 cups of butter times 20 equals how much
    6·2 answers
  • I am stuck on this and kind of need it
    10·1 answer
  • The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 7≤x≤8?
    6·1 answer
  • 6+x3=1
    6·1 answer
  • Someone please help !!
    9·1 answer
  • Savings account at a bank pays 5% simple interest in account at Bank B pays 2% compounded interest the table shows the balance i
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!