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Likurg_2 [28]
3 years ago
9

Type the correct answer in the box. Write your answer as a whole number.The radius of the base of a cylinder is 10 cm, and its h

eight is 20 cm. Colon is used to fill the cylinder with water. The radius of the cone base is 5 cm, and its height is 10 cm. The number of times one needs to use the completely filled colon to completely fill the cylinder with water is *blank*
Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer: 24 times

Step-by-step explanation:

volume of cone: (1/3)×5^2×π×10=250π/3 cm^3

volume of cylinder: 10^2×π×20=2000π cm^3

2000π/(250π/3 )=2000π×(3/250π)=24

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Please show the working and answer. you can take a picture for the working.
baherus [9]

Answer:

(a) The area of the triangle is approximately 39.0223 cm²

(b) ∠SQR is approximately 55.582°

Step-by-step explanation:

(a) By sin rule, we have;

SQ/(sin(∠SPQ)) = PQ/(sin(∠PSQ)), which gives;

5.4/(sin(52°)) = 6.8/(sin(∠PSQ))

∴ (sin(∠PSQ)) = (6.8/5.4) × (sin(52°)) ≈ 0.9923

∠PSQ = sin⁻¹(0.9923) ≈ 82.88976°

Similarly, we have;

5.4/(sin(52°)) = SP/(sin(180 - 52 - 82.88976))

Where, 180 - 52 - 82.88976 = ∠PQS = 45.11024

SP = 5.4/(sin(52°))×(sin(180 - 52 - 82.88976)) ≈ 4.8549

Given that RS : SP = 2 : 1, we have;

RS = 2 × SP = 2 × 4.8549 ≈ 9.7098

We have by cosine rule, \overline {RQ}² =  \overline {SQ}² +  \overline {SR}² - 2 × \overline {SQ} × \overline {SR} × cos(∠QSR)

∠QSR and ∠PSQ are supplementary angles, therefore;

∠QSR = 180° - ∠PSQ = 180° - 82.88976° = 97.11024°

∠QSR = 97.11024°

Therefore;

\overline {RQ}² =  5.4² +  9.7098² - 2 ×  5.4×9.7098× cos(97.11024)

\overline {RQ}² ≈ 136.42

\overline {RQ} = √(136.42) ≈ 11.6799

The area of the triangle = 1/2 ×\overline {PQ} × \overline {PR} × sin(∠SPQ)

By substituting the values, we have;

1/2 ×\overline {PQ} × \overline {PR} × sin(∠SPQ)

1/2 × 6.8 × (4.8549 + 9.7098) × sin(52°) ≈ 39.0223 cm²

The area of the triangle ≈ 39.0223 cm²

(b) By sin rule, we have;

\overline {RS}/(sin(∠SQR)) = \overline {RQ}/(sin(∠QSR))

By substituting, we have;

9.7098/(sin(∠SQR)) = 11.6799/(sin(97.11024))

sin(∠SQR) = 9.7098/(11.6799/(sin(97.11024))) ≈ 0.82493

∠SQR = sin⁻¹(0.82493) ≈ 55.582°.

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Approximately how many people make between $30,000 and $66,000​
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Answer:

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Step-by-step explanation:

cause theres 7.674 billion peepsin the world

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Jackson wants to tile the floor in his bathroom with square tiles that are 1/2 foot long. Will he use more or fewer tiles if he
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He will use more tiles because 1/3 is smaller than 1/2 and the smaller the tiles the more you need to fill the place up.
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