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ELEN [110]
3 years ago
14

a container for a hanging plant is a half sphere with a diameter of 9 inches. about how much soil does the container hold

Mathematics
2 answers:
stich3 [128]3 years ago
5 0

Answer:

190.9 in³

Step-by-step explanation:

Whenever one is asked to find how much(quantity of something) a certain container can hold,all you need to understand is that you are been asked about the volume of that container

We all know that the volume of a sphere is 4/3 × 22/7 × r³

And since we are dealing with a container in the shape of half a sphere,the volume of that container will now be volume of a sphere divided by 2

If the formula that was given initially was divided by 2,the new formula will look like this:

4/6 × 22/7 × r³

And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2

That is 9/2 = 4.5

Putting the values in the formula,we can now derive the volume of that sphere

4/6 × 22/7 × 4.5³

= 190.9 in³ of soil

storchak [24]3 years ago
4 0

Answer:

190.87 cubic inches

Step-by-step explanation:

A sphere is three-dimensional a ball-shaped object. It's volume is calculated using the formula:

V = 4/3πr^3

Where V= Volume of sphere

π (pie) = 22/7 (constant)

r = diameter ÷ 2 i.e. 9/2 = 4.5inches

Hence, to calculate the volume of the sphere, we slot in the values into the formula;

V = 4/3 × 22/7 × 4.5^3

V = 1.333.....× 3.142 × 4.5 × 4.5 × 4.5

V = 381.753

Thus, the volume of the sphere is 381.753 cubic inches.

However, according to the question, the container is a hemisphere i.e. half of a sphere. Therefore, to get the volume of soil in the container, we divide the volume of the sphere by 2;

381.753 ÷ 2

= 190.87

Hence, the volume of the soil in the hemispherical container is 190.87 cubic inches (in^3)

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3 years ago
ILL GIVE BRAINLIEST! PLEASE HELP I DONT UNDERSTAND!
blsea [12.9K]

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

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where a₁ is the first term and d the common difference

Using the nth term formula a_{n} = 5n + 3 , then

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a₂ = 5(2) + 3 = 10 + 3 = 13 , then

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Thus

S₁₅ = \frac{15}{2} [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

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7 0
2 years ago
Which equation below does NOT represent a function of X A) x=y^2 B) y=x C) y = |x| D) y=x^2 E) y=1
vlabodo [156]

Answer:

A) x = y^{2}

Step-by-step explanation:

An equation is a function of x when x is the independent variable, that is:

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According to this, x = y^{2} does not represent a function of x, since the independent variable is a function of y, that is, x = f(y). Therefore, the correct answer is A.

5 0
3 years ago
I keep believing the answer is either 18,000 or 1,800 but im incorrect. Can someone please help me?? I use the formula A^2 *2*A*
Yuri [45]

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

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10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

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I hope it's correct

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2 years ago
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allochka39001 [22]
#1 30
#2 150
#3 110
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#5 2x+50+3x=180
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5x+50=180
subtract 50 from both sides

5x=130
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x=26

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7 0
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