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2 years ago

Hrome

Mathematics

1 answer:

Alenkinab [10]2 years ago

5 0

Answer:

20 girls.

Step-by-step explanation:

If 32 divided by 8 is 4, then 4x8= 32.

We use this equation to find out how many girls there are. 5x4 equals 20, so there are 20 girls at summer camp.

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Simplify 3(x - 6) - 4(x + 3). A)-x - 30 B)-x - 9 C)-x - 6 D)-x - 30

morpeh [17]

Answer:

-x-30

Step-by-step explanation:

first you need to distribute:

3(x)+3(-6) -4(x)+ (-4)(3)

Then you multiply:

3x+(-18)-4x+(-7)

then you combine like terms:

3x-4x= -1x 

-18+(-7)= -25

simplified:

-1x-30

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4 years ago

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son4ous [18]

Answer:

Step-by-step explanation:

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3 years ago

Find the value of n 3n-10 n=

Mars2501 [29]

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Step-by-step explanation:

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3 years ago

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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

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