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a_sh-v [17]
3 years ago
15

Guengle works in urban landscape design a truck arrived pouring a cone shaped pile of gravel six feet high with a diameter at th

e base of 8.2 ft how much gravel was delivered use pie\
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

105.56\ ft^3 of gravel was used.

Step-by-step explanation:

Given that,

The height of a cone, h = 6 feet

The diameter of the base of cone, d = 8.2 feet

Radius, r = 4.1 feet

We need to find the amount of gravel was delivered. The volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3

So, 105.56\ ft^3 of gravel was used.

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Answer:

Luck or More difficult task

Step-by-step explanation:

It is possible that the winner of the award was not actually better than other rookies instead may have had an element of luck and therefore could not reciprocate the performance the following year. It is also possible that because the person won the award, the person was given greater task base on the performance and it make them perform less. It is also possible the person cannot handle fame and it got into the person head and becomes confident in their abilities that the person stop improving and advancing their skills.

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3 years ago
Select all the following that make a right triangle:
kap26 [50]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that for positive integers to be Pythagorean triples, they must have to work and satisfy the Pythagorean Theorem's formula:

a² + b² = c²

Here,

a and b are the sides or legs of a right triangle

c is the hypotenuse

Let us check now:

A) 3, 4, 5

a = 3, b = 4, c = 5

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

TRUE

Thus, we conclude that (3, 4, 5) makes a right triangle.

B) 8, 15, 17

a = 8, b = 15, c = 17

a² + b² = c²

8² + 15² = 17²

64 + 225 = 289

289 = 289

TRUE

Thus, we conclude that (8, 15, 17) makes a right triangle.

C) 6, 8, 10

a = 6, b = 8, c = 10

a² + b² = c²

6² + 8² = 10²

36 + 64 = 100

100 = 100

TRUE

Thus, we conclude that (6, 8, 10) makes a right triangle.

D) 5, 12, 13

a = 5, b = 12, c = 13

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169

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Thus, we conclude that (5, 12, 13) makes a right triangle.

E) 7, 8, 9

a = 7, b = 8, c = 9

a² + b² = c²

7² + 8² = 9²

49 + 64 = 81

113 = 81

FALSE       ∵ 113 ≠ 81

Thus, we conclude that (7, 8, 9) does not make a right triangle.

E) 7, 20, 21

a = 7, b = 20, c = 21

a² + b² = c²

7² + 20² = 21²

49 + 400 = 441

449 = 441

FALSE       ∵ 449 ≠ 441

Thus, we conclude that (7, 20, 21) does not make a right triangle.

G) 10, 11, √221

a = 10, b = 11, c = √221

a² + b² = c²

10² + 11² = (√221)²

100 + 121 = 221

221 = 221

TRUE

Thus, we conclude that (10, 11, √221) makes a right triangle.

H) 5, 8, √80

a = 5, b = 8, c = √80

a² + b² = c²

5² + 8² = (√80)²

25 + 64 = 80

89 = 80

FALSE       ∵ 89 ≠ 80

Thus, we conclude that (5, 8, √80) does not make a right triangle.

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Answer:

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Step-by-step explanation:

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