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3 years ago

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3. John and Nelly are cleaning their house. Nelly takes 3 hours longer than John if she cleans the house alone. If they can do t

he cleaning together in 2 hours, how long can John clean all by himself?

1 answer:

swat323 years ago

8 0

Answer:

1 hour?

Step-by-step explanation:

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The volume of a gas varies inversely as the pressure upon it. If the volume of the gas is 160 cubic centimeters at a pressure of

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Answer:

The new volume is $198.62\ cm^3$ .

Step-by-step explanation:

We are given with the volume of a gas varies inversely as the pressure upon it.

Initial volume is 160 cubic centimetres and initial pressure is 108 Pa. It is required to find the volume when the pressure is 87 centimetres.

According to given condition,

$V\propto \dfrac{1}{P}$

$P_1V_1=P_2V_2$

$V_2$ is new volume

$V_2=\dfrac{P_1V_1}{P_1}\\\\V_2=\dfrac{160\times 108}{87}\\\\V_2=198.62\ cm^3$

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4 years ago

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 i

Delicious77 [7]

Answer:

Measure of ∠FGE is 40.2°.

Step-by-step explanation:

Refer to the attachment.

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

$\sin \theta=\dfrac{opposite\:side}{hypotenuse\:side}$

Rewriting it in terms of x° as follows,

$\sin x=\dfrac{opposite\:side}{hypotenuse\:side}$

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

$\sin x=\dfrac{FE}{FG}$

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

$\sin x=\dfrac{12}{18.6}$

To find the value of x, taking inverse sin.

$x=\arcsin \left(\dfrac{12}{18.6}\right)$

Calculating the value,

$x=40.17$

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

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