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
aivan3 [116]
2 years ago
14

Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational numb

er? Justify your answer.
Mathematics
1 answer:
Brut [27]2 years ago
4 0

Answer:

irrational

Step-by-step explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

You might be interested in
Chapters: 1.Integers
SCORPION-xisa [38]

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

4 0
3 years ago
Please help me with this problem I can’t figure it out
lina2011 [118]
What you need to do is give these problems a common denominator. Which makes 3/21 and14/21 respectively. Logically, you need to walk 4/21 of the trail. This can’t be simplified further.
5 0
3 years ago
A minimum-phase continuous-time system has all its poles and zeros in the left-half s-plane. If a minimum-phase continuous-time
vlabodo [156]

Answer:

Yes, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

Step-by-step explanation:

Bilinear Transform:

In digital signal processing, the bilinear transform is used to convert continuous time system into discrete time system representation.

Minimum-Phase:

We know that a system is considered to be minimum phase if the zeros are situated in the left half of the s-plane in continuous time system. In the same way, a system is minimum phase when its zeros are inside the unit circle of z-plane in discrete time system.

The bilinear transform is used to map the left half of the s-plane to the interior of the unit circle in the z-plane preserving the stability and minimum phase property of the system. Therefore, a minimum phase continuous time system is also minimum phase when converted into discrete time system using bilinear transformation.

8 0
3 years ago
Read 2 more answers
Pls help me on this question :-
Nastasia [14]

Answer:

We conclude that the rule for the table in terms of x and y is:

  • y = 3x+2

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

  • (-2, -4)
  • (-1, -1)

Finding the slope between (-2, -4) and (-1, -1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)

m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}

m=3

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

  • y = 3x+2
7 0
3 years ago
Below is a probability distribution for the number of failures in an elementary statistics course. X 0 1 2 3 4 P(X=x) 0.41 0.18
faust18 [17]

Answer:

a) P(X=2)= 0.29

b) P(X<2)= 0.59

c) P(X≤2)= 0.88

d) P(X>2)= 0.12

e) P(X=1 or X=4)= 0.24

f) P(1≤X≤4)= 0.59

Step-by-step explanation:

a) P(X=2)= 1 - P(X=0) - P(X=1) - P(X=3) - P(X=4)= 1-0.41-0.18-0.06-0.06= 0.29

b) P(X<2)= P(X=0) + P(X=1)= 0.41 + 0.18 = 0.59

c) P(X≤2)= P(X=0) + P(X=1) + P(X=2)=0.41+0.18+0.29= 0.88

d) P(X>2)=P(X=3) + P(X=4)=0.06+0.06= 0.12

e) P(X=1 or X=4)=P(X=1 ∪ X=4) = P(X=1) + P(X=4)=0.18+0.06= 0.24

f) P(1≤X≤4)=P(X=1) + P(X=2) + P(X=3) + P(X=4)=0.18+0.29+0.06+0.06= 0.59

3 0
3 years ago
Read 2 more answers
Other questions:
  • Ester had 24 popsicles. 5/8 of the popsicles are green. 1/8 of the popsicles are red. The rest of the popsicles are blue. How ma
    7·1 answer
  • Write an equation in point-slope form for the line through the given point with the given slope. (5,2);m=3
    5·1 answer
  • Evaluate tan45/sin30 . In your final answer, include all calculations.
    14·1 answer
  • Anura found a can of paint that was full. She was able to paint 3 fence posts with the paint. What fraction of the can of paint
    8·2 answers
  • Determine whether 81 − 49n4 is a difference of two squares. If so, factor it. If not, explain why.
    7·1 answer
  • Solve the system of linear equations. Check your solution. y=2x-2 <br> y=2x+9
    6·1 answer
  • Help with 8, 9 and 10 plz :’)
    7·2 answers
  • Find the area of a square garden that is 17 yards on a side
    15·1 answer
  • 40 Points! Brainliest for correct answer! A student in a local high school prepared a survey question asking each student what h
    7·2 answers
  • The lines represented by the equations y x = 2 and y = x<br> 2 are
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!