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Mrac [35]
3 years ago
12

David is filling a cylindrical cup with medication for his next patient. If he only fills the cup half way, what is the volume o

f medication in the cup if the radius is 2 inches and the height is 8 inches? 25.15 cubic inches 50.24 cubic inches 100.48 cubic inches 200.96 cubic inches
Mathematics
1 answer:
nignag [31]3 years ago
7 0

Answer:

Volume of medication in the cup = 50.24 cubic inches

Step-by-step explanation:

Volume of the cylindrical cup = πr^2h

Radius, r = 2 inches

Height, h = 8 inches

Volume of the cylindrical cup = πr^2h

= 3.14 × 2^2 × 8

= 3.14 × 4 × 8

= 100.48

Volume of the cylindrical cup = 100.48 cubic inches

If David only fills the cup half way,

then, the volume of medication in the cup = Total volume of the cylinder / 2

= 100.48 inches / 2

= 50.24 cubic inches

volume of medication in the cup = 50.24 cubic inches

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You come home from Brian’s Orchard with a big brown bag of apples: 23 Granny Smiths, 14 Honey Crisp and 31 Red Delicious. What i
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Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

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Answer:

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Step-by-step explanation:

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The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle = 71 degree

Distance between A and B = 20 meters

Let's suppose the height of the building is x meters.

From the right angle triangle applying the tan ratio:

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Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

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Step-by-step explanation:

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