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balu736 [363]
3 years ago
6

Which inequality is true if p=3.4

Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

None of the inequalities are correct if p = 3.4

Step-by-step explanation:

Mathematical inequality is an order relation proposition existing between two algebraic expressions connected through the signs: unequal than ≠, greater than>, less than <, less than or equal to ≤, as well as greater than or equal to ≥, resulting in both expressions of different values. That is, an inequality is a relationship that exists between two quantities or expressions and, which indicates that they have different values.

To check an inequality, you must replace the inequality variable with the value of the solution.  In this case, being p=3.4, you must do it with each of the inequalities, as shown below:

A. 3p<10.2 ⇒ 3*3.4<10.2 ⇒ 10.2 <10.2  

This inequality is not true, because 10.2 is not less than 10.2, but they are equal.

B. 13.6<3.9p ⇒ 13.6<3.9*3.4 ⇒ 13.6<13.26  

This inequality is not true, because 13.6 is greater than 13.26 and not less as the inequality shows.

C. 5p>17.1 ⇒ 5*3.4 >17.1 ⇒ 17 > 17.1  

This inequality is not true, because 17 is less than 17.1 and not greater as the inequality shows.

D. 8.5> 2.5p ⇒ 8.5 >2.5*3.4 ⇒ 8.5 > 8.5

This inequality is not true, because 8.5 is not less than 8.5. These values ​​are the same.

<em><u>None of the inequalities are correct if p = 3.4</u></em>

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(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.

(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.

<h3>Lateral surface area of the prism</h3>

L.S.A = Ph

where;

  • P is perimeter of the base
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h² = 17² - 8²

h² = 225

h = 15

L.S.A = (3 x 16) x 15 = 720 sq units

<h3>Total surface area of the prism</h3>

T.S.A = PH + 2B

T.S.A = 720 + 2(16) = 752 sq units

<h3>Lateral surface area of the cone</h3>

L.S.A = πrt

where;

  • t is the slant height = 17

r² = 17² - 15²

r² = 64

r = 8

L.S.A = π(8)(17) = 136π sq units

<h3>Total surface area of the cone</h3>

T.S.A = πrt + πr²

T.S.A = 136π sq units + π(8)²

T.S.A = 200π sq units

<h3> Lateral surface area of the cylinder</h3>

L.S.A = 2πrh

where;

  • r is the radius of the cylinder = 11
  • h is height of the cylinder = 11

L.S.A = 2π(11 x 11) = 242π sq units

<h3>Total surface area of the cylinder</h3>

T.S.A = 2πrh + 2πr² = 2πr(r + h)

T.S.A = 2π(11)(11 + 11)

T.S.A = 484π sq units.

Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.

  • the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
  • the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.

Learn more about surface area here: brainly.com/question/76387

#SPJ1

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Answer:

x2+5x/2 -4

Step-by-step explanation:

f(x) = 2x+3 and g(x) = x^(2)+(x)/(2) - 7 , what is  (f+g)(x)

x^2+5x/2-4

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When you write the equation of a circle in the form

(x-x_0)^2+(y-y_0)^2=r^2

Then the center of the circle has coordinates (x_0, y_0) and the radius is r

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What represents 200 million<br>​
sattari [20]

Answer:

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Answer: (a) Independent events , (b) 0.00075

Step-by-step explanation:

Since we have given that

Number of coins = 218

Number of rare Indian pennies = 6

Let Event A: When one of the 218 coins is randomly​ selected, it is one of the 6 Indian pennies.

Event B :  When another one of the 218 coins is randomly selected​ (with replacement), it is also one of the 6 Indian pennies.

As we know that

P(A)=\dfrac{6}{218}=0.0275\\\\and\\\\P(B)=\dfrac{6}{218}=0.0275

(a) so, they are independent events as there is a condition of 'with replacement'.

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P(A\cap B)=P(A).P(B)=0.0275\times 0.0275=0.00075

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