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2 years ago

the length of a large suv is 18 9/10, and the length of a small suv is 15 1/8 How much longer is the larger suv

Mathematics

2 answers:

puteri [66]2 years ago

8 0

I think the answer is 14 13/40

zimovet [89]2 years ago

3 0

The answer is:
$3 \frac{31}{40} = 3.775$

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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

fiasKO [112]

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

Read 2 more answers

Each calendar will sell for $5 each write an equatio to model the total income for selling calendars

Brrunno [24]

To answer the question above, I let x be the number of calendars sold. You may use any other letter as this is just for representation. The total income generated in selling calendars is calculated by multiplying the number of calendars with the price. That is,
total income = 5x
If we let total income be y, our equation is further simplified into,
y = 5x

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3 years ago

today at Allison's cupcake and cookie budget for her party at $105 if you would like to have at least 40 cupcakes and cookies co

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Answer:

a ≤ b + 5

a + b ≥ 40

2.5 a + 1.5 b ≤ 105

Step-by-step explanation:

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Answer:

i dont know

Step-by-step explanation:

that is too hard

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pychu [463]

Answer:

Answer is in the screenshot provided.

Step-by-step explanation:

Work is also in the screenshot provided.

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