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Ksenya-84 [330]
3 years ago
8

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

108 centimeters, find the volume when the pressure is 87 centimeters. Round decimal answers to the tenths' place.
Mathematics
1 answer:
erica [24]3 years ago
6 0

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

So, the new volume is 198.62\ cm^3.

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5.
andrew-mc [135]

Answer:

The  angle of depression from Platform A to Platform B is 43.1^{\circ}

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}

Hence  the  angle of depression from Platform A to Platform B is 43.1^{\circ}

4 0
3 years ago
Suppose that you and two friends go to a​ restaurant, which last month filled approximately 91.7 % of the orders correctly. comp
MrMuchimi
77.1% chance that all 3 orders are correct.
For three independent events to find the probability of each one occurring we multiply the probabilities together. .917*.917*.917 = .77109 or 77.1 percent chance of all three outcomes being favorable.
5 0
3 years ago
Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water
kaheart [24]

Answer:

Volume = 2000\ in^3

Step-by-step explanation:

Given

Dimension: 10in by 20in by 10in

Required

Determine the capacity of the aquarium

This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

Volume = Length * Width * Height

Substitute values for the dimensions

Volume = 10 * 20 * 10

Volume = 2000\ in^3

Hence, the volume of the aquarium is 2000 cubic inches

6 0
3 years ago
What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?
galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

\frac{100}{500}\times 20

Simplifying, the values, we get,

\frac{2000}{500}=4\%

Thus, the percentage of cacao is 4%

6 0
3 years ago
5+5-6+10-100 what is the answer
timama [110]

Answer:

-86

Step-by-step explanation:

5+5=10

10-6=4

4-100=-86

5 0
3 years ago
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