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3 years ago

If 3, 9, 10, x are in proportion find the value of x.

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

8 0

Step-by-step explanation:

Given that 3, 9, 10, x are in proportion product of exterms = Product of means

3x=9×10

X=(9x10)/3

X=90/3

X=30

Colt1911 [192]3 years ago

5 0

Answer:

$x = 30$

Step-by-step explanation:

If 3, 9, 10, x are in proportion. Then,

$x \times 3 = 10 \times 9$

$x \times 3 = 90$

$x = 30$

<h3>Hope it is helpful.....</h3>

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Step-by-step explanation:

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2 years ago

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay

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Answer:

The correct answers are the following:

A) P=12n-275

B) 124

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Step-by-step explanation:

A) P=12n-275  - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

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124=n - Divide both sides by $12.

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P=12(124)-375 - Plug in the value for n (124).

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1,113-1,213=-100  - $100 reduction/decrease of profit (or -$100 to profit)

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3 years ago

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3 years ago

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

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