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
Annette [7]
3 years ago
10

Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED

UCED RADICAL FORM )
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

The lenghts of both legs: \frac{15\sqrt{2}}{2}\ inches

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of  any leg of the given triangle by applying the Trigonometric Identity sin\alpha=\frac{opposite}{hypotenuse}:

sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}

Finally, simplifying, we get:

leg=\frac{15(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{15\sqrt{2}}{2}

You might be interested in
In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
faust18 [17]

Answer: D

Step-by-step explanation:

The given functions are

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

Option D) is the right answer

3 0
3 years ago
X+9=24 how to solve for x
rodikova [14]
You can easily do just one step to get the value of x.

x + 9 =24            subtract 9 from both sides

x + 9 - 9 = 24 - 9

Simplify:

x = 15


I hope I helped you.



5 0
3 years ago
Read 2 more answers
Please answer the following question. Also please answer if you actually know it.
Iteru [2.4K]

Given : f(x)= 3|x-2| -5

f(x) is translated 3 units down and 4 units to the left

If any function is translated down then we subtract the units at the end

If any function is translated left then we add the units with x inside the absolute sign

f(x)= 3|x-2| -5

f(x) is translated 3 units down

subtract 3 at the end, so f(x) becomes

f(x)= 3|x-2| -5 -3

f(x) is translated   4 units to the left

Add 4 with x inside the absolute sign, f(x) becomes

f(x)= 3|x-2 + 4| -5 -3

We simplify it and replace f(x) by g(x)

g(x) = 3|x + 2| - 8

a= 3, h = -2 , k = -8



5 0
3 years ago
How far is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s
Tomtit [17]
825 meters away
i think bit too sure
7 0
3 years ago
Find the median,mode, and range for each set of number
4vir4ik [10]
5, 5, 9, 12, 18, 22, 25 put numbers in order least to greatest
25 -5 = 20 that is the range
12 is the middle number this is the median
5 is the mode, it is the number that is repeated the most
7 0
3 years ago
Read 2 more answers
Other questions:
  • Would this be correct?
    9·2 answers
  • Which relationship describes angles 1 and 2?
    10·1 answer
  • If f(1) = 160 and f(n+ 1) = -2f(n), what is f(4)?
    10·2 answers
  • Margaret went to the convenience store and purchased 4 cans of cola for 2.76. how many cans could she have purchased at the same
    5·1 answer
  • Which matrix represents the system of equations shown below?5x - y = 82x - 3y = 12
    9·1 answer
  • What is the equation of the line in slope-intercept form?
    12·1 answer
  • Help answer please!!!!
    5·1 answer
  • I NEED HELP ASAP (8th grade problem)
    5·1 answer
  • Find the slope and y-intercept
    15·1 answer
  • What is the slope-intercept equation for this line?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!