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
kolbaska11 [484]
2 years ago
13

In a 45 45 90 right triangle the length of the hypotenuse is 15/2 what is length on one of the legs

Mathematics
1 answer:
Nikitich [7]2 years ago
8 0
Hi there!

For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.

To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.

We get the following:

\frac{15}{ 2 \sqrt{2} }

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.

We get the following:

\frac{15 \sqrt{2} }{4}

That's your answer.

Have an awesome day! :)

- collinjun0827, Junior Moderator
You might be interested in
A warehouse employs 22 workers on first shift and 14 workers on second shift. Eight workers are chosen at random to be interview
lara [203]
36 all together.
22 first
14 second
8 random chosen

A) all first shift:
One is pulled 22/36
Second is pulled 21/35
Third is pulled 20/34
Fourth 19/33
Fifth 18/32
Sixth 17/31
Seventh 16/30
Eighth 15/29

Multiply all those together
Probability of all first shift is 0.010567296996663
(That means it's not happening anytime soon lol)

B) one worker 14/36
Second 13/35
Third 12/34
Fourth 11/33
Fifth 10/32
Sixth 9/31
Seventh 8/30
Eighth 7/29

Multiply all those together
Probability of all second shift is 0.000099238805645
(That means it's likely to see 100x more picks of all first shift workers before you see this once.. lol)

C) 22/36
21/35
20/34
19/33
18/32
17/31

Multiply..
Probability.. 0.038306451612903


D) 14/36
13/35
12/34
11/33

X... p=0.016993464052288


Probably not correct, haven't done probability in years.
8 0
2 years ago
What is the slope of the line that passes through the points (4, 7) and (5,8)?
slava [35]

Answer:

1

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

8 0
3 years ago
Please help me with this I don’t know how.
vazorg [7]

Answer:

J: 2/45

Step-by-step explanation:

You multiply the probabilities together then simplify

2/15 x 5/15

to get 10/225

simplify to get your answer of 2/45

4 0
3 years ago
your mother gave you 14.28 with which to buy a present. this covered 3/4 of the cost. how much did the present cost?
saul85 [17]

$19.04. If your mom gave you $14.28, and it only covered 3/4 of the cost, you have to first find 3/4 as a percentage, and then put it into a decimal. It would be 0.75. So then you have to divide 14.28÷0.75. It turns out to be $19.04.

8 0
2 years ago
Please help on this math question
svetlana [45]

\sqrt{12 {x}^{3} }  =  {12}^{ \frac{1}{2} }  {x}^{ \frac{3}{2} }

6 0
2 years ago
Other questions:
  • What are the intercepts of y=4x-2
    10·1 answer
  • 70<br> 70<br> BC_ AC<br> Choose the relationship symbol that makes the statement true.
    14·2 answers
  • Help <br> What is the value of x? <br><br> A: 41<br> B: 20<br> C: 21<br> D: 22
    6·1 answer
  • 5/9 is rational or irrational
    15·1 answer
  • 7hours and 54min<br><br> Round the the nearest quarter hour
    6·2 answers
  • Ben and Carmella want to go to a basketball game. Carmella proposes they use a bag of 90 lettered tiles to decide who will pay f
    7·1 answer
  • Please help!!!!
    8·1 answer
  • Complete the table so that the cost of the bananas stay the same
    10·1 answer
  • Can someone help me out with the answer please
    8·1 answer
  • I need the answer to f(x)=2x+3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!