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shtirl [24]
3 years ago
8

Suppose the circumference of a crop circle is 150.7968 hectometers (hm). What's the radius of the circle? (Use π = 3.1416.)

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

  A.  24  hm

Step-by-step explanation:

The formula for the circumference of a circle is ...

  C = 2πr

Fill in the given values and solve.

  150.7968 hm = 2×3.1416×r

  (150.7968 hm)/6.2832 = r = 24 hm . . . . . divide by 2π

The radius of the circle is 24 hm.

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If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball
Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}

The air is at T=20°C, thus the speed of sound is:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}

v_{\mathrm {s} }=343.42\ m/s

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

\displaystyle v=\frac{d}{t}

Where d is the distance and t is the time. Solving for t:

\displaystyle t=\frac{d}{v}

Substituting the values v=343.42 m/s and d=600 m:

\displaystyle t=\frac{600}{343.42}

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0
3 years ago
M=2, m=-1/2 is they parallel or perpendicular
emmasim [6.3K]

Answer:

perpendicular

Step-by-step explanation:

4 0
4 years ago
The length of a photograph is 3cm less than twice the width. The area is 54cm². Find the dimentions of the photograph.
AnnyKZ [126]
L=2w-3 

w(2w-3)=54

2w²- 3w-54=0

A= 2 , B= -3, C= -54

sub values into quadratic formula
 i attached picture of formula

Final answer:  you will be given 2 answers 6 and -4.5. -4.5 is rejected since a negative value cannot represent length because that just doesn't make sense.

w=6

Check:
L=2w-3
=2(6)-3
=12-3
=9
  9*6=54

Therefore the dimensions of the photograph are 6 cm by 9 cm



3 0
3 years ago
Read 2 more answers
PLEASE ANSWERRRRRRR
Mademuasel [1]

Answer:

Step-by-step explanation:sorry

8 0
3 years ago
If x=9 and y=−3, evaluate the following expression:7(2x−3y)​
LuckyWell [14K]

Answer:

189

Step-by-step explanation:

You can replace the values of x with 9 and the values of y with (-3).

7(2x-3y) = 7(2 × 9 - 3 × -3)

             = 7(18 - -9)

             = 7(18+9)

             = 7 × 27

             = 189

7 0
3 years ago
Read 2 more answers
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