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DanielleElmas [232]
3 years ago
9

Find the circumference and area of a circle with radius 14m

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0
Circumference of a circle

C = 2πr

since r = 14 then

C = 2π14

C =28π.

Area of a circle

A = πr²

A = π14²

A = 196π
enyata [817]3 years ago
7 0
196 (i dont know how to put pie) :) hope i helped :) 
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Let X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits. What are the poss
Advocard [28]

Answer: there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

Step-by-step explanation:

Here,  X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.

Possible number of outcomes = 10 x 10 x 10 x 10 x 10

= 100,000

Possible outcomes          Associated X values

12345                                        5

04555                                        4

00001                                            1

Hence, there are total 100,000 5-digit PINs.

Three Possible outcomes          Associated X values

            12345                                        5

            04555                                        4

            00001                                          1

7 0
3 years ago
A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
4 years ago
Find the lengt of side c ofa triangle. If sides ais 1 and side bis 20?
OLEGan [10]
The pyhtagorean states that to find c, use the eqaution, c^2=a^2+b^2. 
Substitute 1 for a  and 20 for b;
c^2=1+400
c^2=401
c=\sqrt{401
which is about 20.02
Hope this helps.
6 0
3 years ago
Read 2 more answers
The variables x and y vary. Write an equation relating x and y. Then find y when x=-2. x=7, y=2.
Sphinxa [80]

Answer:

<h2>equation x=y</h2>

Step-by-step explanation:

<h2>x=ky</h2><h2>k=1</h2><h2>2=1×y</h2><h2>y=2</h2>
6 0
3 years ago
A hotel wants to put a fence around a circular spa. The radius of the spa is feet. If the fence is built along the immediate edg
MariettaO [177]

For this case we must find the perimeter of the fence, in a circular way, knowing that the perimeter of a circle is given by:

P = 2 \pi*r

Where "r" represents the radius of the circle, in this case r = \frac {5} {\sqrt {2} -1}

Substituting in the perimeter equation we have:

P = 2 \pi * \frac {5} {\sqrt {2} -1}

Rationalizing we have:

P = \frac {2 \pi * 5 (\sqrt {2} +1)} {(\sqrt {2} -1) * (\sqrt {2} +1)}\\P = \frac {2 \pi*5 \sqrt {2} +2 \pi*5} {2-1}\\P = 10 \pi \sqrt {2} +10 \pi

Taking out common factor \pi:

P = (10 \sqrt {2} +10) \pi

Answer:

P = (10 \sqrt {2} +10) \pi\ feet

Option C


3 0
3 years ago
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