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Amanda [17]
4 years ago
15

A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly acro

ss the diameter of the signal, how long can you listen to the station before the signal fades?
O 4 hour 14. 13. The difference between two numbers is 25.
The smaller number is 1/6th of the larger number.
What is the value of the smaller number?
0 11 03 O 5 O 2.5 hours O 2 hours O 5 hours 0 10
Mathematics
1 answer:
Lady_Fox [76]4 years ago
7 0

Answer: you can listen radio signal during 5h

Step-by-step explanation: t =d/v=2xradius÷velocity=2x100miles ÷ 40mile/h = 5h

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Step-by-step explanation:

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Round it to 15

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Elvera Hilton earns $12 an hour at her job. The hours she worked during each of the last four weeks are shown below
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Question 4 (1 point)<br> (-7x + 5) - (-82 – 6) =
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no ye puedo ayudar amigo o amiga

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3 years ago
Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩
NISA [10]

Answer:

\theta = 108.29

Step-by-step explanation:

Given

u =

v =

Required:

Calculate the angle between u and v

The angle \theta is calculated as thus:

cos\theta = \frac{u.v}{|u|.|v|}

For a vector

A =

A = a * b

cos\theta = \frac{u.v}{|u|.|v|} becomes

cos\theta = \frac{.}{|u|.|v|}

cos\theta = \frac{2*6+4*-7}{|u|.|v|}

cos\theta = \frac{12-28}{|u|.|v|}

cos\theta = \frac{-16}{|u|.|v|}

For a vector

A =

|A| = \sqrt{a^2 + b^2}

So;

|u| = \sqrt{2^2 + 6^2}

|u| = \sqrt{4 + 36}

|u| = \sqrt{40}

|v| = \sqrt{4^2+(-7)^2}

|v| = \sqrt{16+49}

|v| = \sqrt{65}

So:

cos\theta = \frac{-16}{|u|.|v|}

cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}

cos\theta = \frac{-16}{\sqrt{2600}}

cos\theta = \frac{-16}{\sqrt{100*26}}

cos\theta = \frac{-16}{10\sqrt{26}}

cos\theta = \frac{-8}{5\sqrt{26}}

Take arccos of both sides

\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})

\theta = cos^{-1}(\frac{-8}{5 * 5.0990})

\theta = cos^{-1}(\frac{-8}{25.495})

\theta = cos^{-1}(-0.31378701706)

\theta = 108.288386087

<em></em>\theta = 108.29<em> (approximated)</em>

4 0
3 years ago
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