All categories

3 years ago

Convert 213base four to base5

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Answer:

213 in base 4 = 124 in base 5

Step-by-step explanation:

First we convert base 4 to base 10

213 in base 4

2*42 + 1*41 + 3*40

32 + 4 + 3

39 in base 10

Now we convert base 10 to base 5

39/5

7/5 r = 4

1 r = 2

124 in base 5

Hence 213 in base 4 = 124 in base 5

You might be interested in

You want to build a wheelchair ramp leading up to your house. Your front door is 2 feet higher than the driveway and you would l

Alenkasestr [34]

Answer: (a) The angle the ramp forms with the driveway, s° = 4.004° (3 d.p)

(b) The driveway has to be, s = 28.57 ft

(c) The ramp will be 28.64 ft long

Step-by-step explanation:

First key thing to know is that the %grade of a ramp = rise/ramp run

%grade of a ramp = 7% = 0.07

(Kindly find attached a diagram to assist with understanding).

Also note that, <em>the ramp run is not the same as the ramp length</em>

(a) the angle, θ, is the angle of slope between the driveway and the ramp,

tan θ = 0.07,

θ = tan⁻¹ 0.07 = 4.004° (3 d.p)

(b) the length of the driveway (s) is the same as the length of the ramp run, so, %grade of a ramp = rise/ramp run

0.07 = 2/s

s = 2/0.07 = 28.57 ft (2 d.p)

(c) the length of the ramp can be found by using Pythagoras' theorem,

L = ramp length = $\sqrt{rise^{2} + ramprun^{2} }$

L = $\sqrt{2^{2} +28.571^{2} }$

L = $\sqrt{820.3041}$

L = 28.64 ft (2 d.p)

4 0

3 years ago

The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant h

gizmo_the_mogwai [7]

Answer:

$h = \dfrac{A - 9}{6}$

Step-by-step explanation:

A=b^2+2bh

b = 3

A = 3^2 + 2(3)h

A = 9 + 6h

6h = A - 9

$h = \dfrac{A - 9}{6}$

4 0

2 years ago

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined at 39.0 degrees

Alona [7]

The correct answer is 14.2 lb which is choice D.

Let:

F = minimum force required to prevent ball from rolling down the ramp

The formula will be:

F = w * sin theta

F = w * sin (39 degrees)

F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)

7 0

3 years ago

What is the x-coordinate of the red point

Katarina [22]

Well, an x-coordinate is the horizontal line on a grid. The y-coordinate is the vertical line on the grid. You would have to show us the grid to answer that question.

6 0

3 years ago

Is it impossible to raise the number to the power of to and get a number less than the original number

finlep [7]

No (unless you're talking about a whole number), for example...
0.2^2 = 0.04

8 0

3 years ago

Convert 213base four to base5​

Convert 213base four to base5