MATHEMATICS HIGH SCHOOL

a spherical fountain il has a radius of 1.5 feet. find the volume of the fountain to the nearest tenth of a cubic foot

Answers

Answer 1
Answer:

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

Substituting the given value of r = 1.5 feet, we get:

V = (4/3)π(1.5)^3

V ≈ 14.1 cubic feet (rounded to the nearest tenth)

Therefore, the volume of the spherical fountain is approximately 14.1 cubic feet.

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Is it possible to form a triangle with side lengths 3, 3 and 4? If so, will it be scalene, isosceles or equilateral?

Answers

Yes, it is possible to form a triangle with side lengths 3, 3, and 4.

In this case, the triangle will be an isosceles triangle because two sides have the same length (3) and the other side is different (4).
Hope this helps :)

If an 8 pound bag of rice cost $9.60 , what is the cost of 1 pound of rice ?

Answers

the answer is $1.20
to get this you divide 9.60 by 8

Log (base 8) 2 +log (base 8) 4x^2 =1

Answers

Log (base8) 2 = 1/3

Log (base 8) (4x^2) + Log (base 8) 4 + 2Log (base 8) x = 2/3 + 2 Log (base 8) x

1/3 + 2/3 + 2 Log (base 8) x = 1

2 Log (base 8) x = 0

Log (base 8) x = 0

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x = 1.

Give that cos 42* = 0.743, what is the sine of the complementary angle?

Answers

the complement of 42 is 90-42 or 48. sin of 48 is 0.743144

if the perimeter of the rectangle is 96 feet, what are the length and width of the rectangular section?

Answers

Answer:

length is 39ft

width is 9ft

Step-by-step explanation:

let 6x - 15 be the length and x be the width

the perimeter of a rectangle is 2(L+W)

96 = 2(6x - 15 + x)

96 = 2(7x - 15)

96 = 14x - 30

126 = 14x

x = 9

Length is 6x - 15

6(9) - 15

54 - 15 = 39

Solve the equation.

x2 = 160

Answers

divide both side by 2 ad you get x=80
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