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igomit [66]
3 years ago
6

The equation 5w+16=61 models how many weeks, w, it takes a puppy to reach a weight of 61 ounces after being born. If the puppy g

ains the same amount of weight each week, how many weeks does it take the puppy to reach 61 ounces?
Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

9 weeks

Step-by-step explanation:

5 x 9= 45

45+16=61

5x9+16=61

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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
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Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
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Which of the following would be true given that x is 25°? A. sin (25) = cos (25) b. sin (25) = cos (65) c. sin (25) = cos (155)
Marat540 [252]

b. sin (25) = cos (65)

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kifflom [539]

Answer:

C. = 1 and 5

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Step-by-step explanation:

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Alternate interior angles.

Explanation

When two angles lie on same line but on different sides, then it's Alternate interior angles.

<em>Hope</em><em> </em><em>it</em><em> helped</em><em> you</em><em>.</em><em>.</em><em> </em><em>Pls </em><em>mark</em><em> brainliest</em>

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tino4ka555 [31]

32=-16t +16t^2

Divide each term by 16

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