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Nostrana [21]
3 years ago
5

What is the wavelength for radio waves with frequency 3x10^9

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

0.1 meters

Step-by-step explanation:

For an electromagnetic wave, the relationship between wavelength λ, frequency ν, and the speed of light c is given by:

c=\lambda \nu

where c=3*10^8m/s.

In our case of the radio waves \nu=3*10^8

therefore the wavelength λ is:

\lambda=\frac{c}{\nu} =\frac{3*10^8}{3*10^9} =0.1m.  

Therefore the wavelength of the radio waves is 0.1 meters.

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The hypotenuse of right triangle is 116 meters long. The difference between the other two sides is 4 meters. Find the missing si
Scilla [17]

Answer:

Longer side = 84 meters

Shorter side = 80 meters

Step-by-step explanation:

The hypotenuse is the longest side of the right angle triangle. Let x represent the length of the longer side of the triangle. The difference between the other two sides is 4 meters. It means that the length of the shorter side is x - 4

Applying Pythagoras theorem which is expressed as

Hypotenuse² = longer side² + shorter side²

Therefore,

116² = x² + (x - 4)²

13456 = x² + x² - 4x - 4x + 16

2x² - 8x + 16 - 13456 = 0

2x² - 8x - 13440 = 0

Dividing through by 2, it becomes

x² - 4x - 6720

x² + 80x - 84x - 6720 = 0

x(x + 80) - 84(x + 80) = 0

x - 84 = 0 or x + 80 = 0

x = 84 or x = - 80

Since the length cannot be negative, then

x = 84

Length of shorter side is

84 - 4 = 80

5 0
3 years ago
Write an equation for a linear function whose graph has the given characteristics.
BaLLatris [955]
G(x) = 6x + 2....the slope here is 6. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, we flip the original slope and change the sign. So our perpendicular line will have a slope of -1/6. (see how I flipped 6 (or 6/1) and made it 1/6, then I changed the sign and made it -1/6)

y = mx + b
slope(m) = -1/6
(42,0)....x = 42 and y = 0
now we sub and find b, the y int
0 = -1/6(42) + b
0 = -7 + b
7 = b

so ur perpendicular equation is : y = -1/6x + 7....or f(x) = -1/6x + 7


5 0
3 years ago
X –27 = 24 so X = ?
Alexeev081 [22]

Answer:

X = 51

Step-by-step explanation:

24 + 27 = 51

x - 27 =

51 - 27 = 24

6 0
3 years ago
Plz plz someone help me out with this
kvasek [131]

Answer:

option D

a_{1}=6561 and a_{n}=\frac{1}{3}a_{n-1}

Step-by-step explanation:

a_{3} = 729\\\\a_{4} = 243\\\\r = \frac{a_{4}}{a_{3}}\\\\r=\frac{243}{729}\\\\r=\frac{1}{3}

Recursive rule: Next term is obtained by multiplying (1/3) wiht the previous term

a_{n}=\frac{1}{3}*a_{n-1}

a_{3} = \frac{1}{3}*a_{2}\\\\\\729 = \frac{1}{3}*a_{2}\\\\\\729*3=a_{2}\\\\a_{2} = 2187\\\\\\

a_{2}=\frac{1}{3}*a_{1}\\\\\\2187=\frac{1}{3}*a_{1}\\\\\\2187*3=a_{1}\\\\a_{1}=6561

7 0
3 years ago
What are the solutions to the inequality (x-3)(x+5) ≤ 0
natulia [17]

Answer:

3 and -5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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