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
Pie
3 years ago
13

3. Show how √5 can be represented on the number line.​

Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

Take a line segment AB = 2 units (consider 1 unit = 2 cm) on x-axis.

Draw a perpendicular on B and construct a line BC = 1 unit length.

Join AC which will be √5 (Pythagoras theorem). Take A as center, and AC as radius draw an which cuts the x-axis at point E.

The line segment AC represents √5 unit

You might be interested in
If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
klemol [59]

Answer: y = (x+2)^2

Aka: B

Step-by-step explanation:

Did it on edge just now !

5 0
3 years ago
A number consists of two digits. The number is 2 more than 8 times the sum of the digits, and if 54 is subtracted from the numbe
Gennadij [26K]

Let the units digit = x

Let the 10s digit = y

Equations

10y + x - 2 = 8 * (x + y)              (1)

10y + x - 54 = 10x + y               (2)

Equation 1

10y + x - 2 = 8 * (x + y)    Remove the brackets on the right

10y + x - 2 = 8x + 8y       Subtract 8y from both sides

10y - 8y + x - 2 = 8x        Subtract 8x from both sides

2y + x - 8x - 2 = 0            Combine

2y - 7x - 2 = 0                  (3)

Equation 2

10y + x - 54 = 10x + y      Subtract 10x

10y - 9x - 54 = y              Subtract y from both sides.

9y - 9x - 54 = 0               Divide by 9

y - x - 6 =  0                     Multiply by 2

2y - 2x - 12 = 0                (4)

Solution

Subtract (3) - (4)

2y - 7x - 2 = 0

2y - 2x - 12 = 0

- 5x + 10 = 0      Subtract 10 from both sides.

- 5x = - 10          Divide by - 5

  x = 2

Use (4) to find y

2y - 2x - 12 = 0         Let x =2

2y - 2(2) - 12 = 0      Remove the brackets

2y - 4 - 12 = 0           Combine

2y - 16 = 0                 Add 16 to both sides.

2y = 16                      Divide by 2

y = 8

Answer 82

I'll leave the check to you, but the answer of 82 is correct.


 



4 0
3 years ago
Please please help me!!!
Dafna1 [17]
Answer is 40. A triangle equals 180 so all you do is subtract 65 and 75 from 180 to get your answer.
5 0
3 years ago
( x + 3 ) + ( − 7 x − 1 )
lora16 [44]

Answer:

-6x +2

Step-by-step explanation:

( x + 3 ) + ( − 7 x − 1 )

Combine like terms

x -7x   +3 -1

-6x +2

8 0
2 years ago
Read 2 more answers
Other questions:
  • The lengths of the sides of a square are multiplied by 1.2. How is the ratio of the areas related to the ratio of the side lengt
    15·1 answer
  • Solve ( x + 1 < 5) ∩ ( x - 4 > -3).
    12·1 answer
  • Evaluate the expression below at x=6.
    15·2 answers
  • Help!! PLease someone
    9·1 answer
  • Which of the following is a statement?
    5·2 answers
  • A bottle of apple juice cost $.89 what is the total cost of 5 cartons of apple juice if there are 12 bottles in each carton
    14·1 answer
  • Guysss I need help. What's the degree of a 90 degree angle
    11·2 answers
  • True or false: All substances have the same density
    15·2 answers
  • Please help me someone smart
    6·2 answers
  • A sketch is drawn that is 6 inches by 9 inches. It is put in a frame of uniform width. If the area of the sketch is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!