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sergiy2304 [10]
3 years ago
10

What is the volume of a sphere with a diameter of 5.4 ft, rounded to the nearest tenth of a cubic foot?

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0

Answer:

82.4 ft^3

Step-by-step explanation:

Diameter=5.4ft

Radius=diameter/2

=5.4ft/2

=2.7ft

π=3.14

Volume of a sphere=4/3πr^3

=4/3×3.14×2.7^3

=4/3×3.14×19.683

=4/3×61.80462

=247.21848/3

=82.40616

Approximately

82.4 ft^3

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Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
3 years ago
MATHS MIDDLE SCHOOL ANSWER ASAP PLEASE
Sveta_85 [38]

Answer:

A. 1

B. -1

C. 5

Step-by-step explanation:

A. Using the Formula, we get u sub 2 = 9-9+1, which is just 1

B. Using the Formula, we get u sub 3 = 1-3+1, which is equal to -1

C. Using the Formula, we get u sub 4 = 1-(-3)+1, which is just 1+3+1 = 5

6 0
2 years ago
Extended rotation rules
Westkost [7]
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8 0
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3xy + 5 if x = -4, y = 2
Zanzabum

Answer:

it will be -19

Step-by-step explanation:

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How To Solve these? ​
Inessa [10]

Answer:

a. 15/23

b. 13/27

c. 400g

Step-by-step explanation:

a. When the denominators are the same, you can just sum the numerators.

Which becomes, 13+2=15--> 15/23

b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27

c. 1kg=1000g. 1000/5=200✖️2=400

5 0
3 years ago
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