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statuscvo [17]
3 years ago
10

A Storage shed has the shape of an upside down cone. The shed has a volume of 209 cubic meters and is 10 meters wide. To the nea

rest meter,how tall is the she? Use 3.14 for Pi
Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

Height = 8 meters

Step-by-step explanation:

Given that

The volume V = 209 cubic meters Diameter = 10 meters

Radius r = 5 metres

How tall is the shed? The question is looking for the height of the cone

Using the formula for volume of a cone.

V = 1/3πr^2h

Where π = 3.14

209 = 1/3 × 3.14 × 5^2 ×h

209 = 3.14/3 × 25h

209 = 78.5h/3

h = 7.99 meters

h = 8 meters

Therefore, the shed is 8 meters tall.

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4 0
3 years ago
H(x) = 1/3x - 1 if h (15)
dalvyx [7]

Answer:

(

h

∘

f

∘

g

)

(

x

)

is known as a composite function. Here's how composite functions work:

let's say that  

x

=

1

. Your function  

g

(

x

)

=

1

3

(

x

)

now produces a  

y

output of  

1

3

, since  

g

(

1

)

=

1

3

(

1

)

. Within a composite function, the y-value of one function becomes the x-value of the next, like so:

g

(

1

)

=

1

3

⇒

f

(

1

3

)

=

17

3

⇒

h

(

17

3

)

=

17

Therefore,

(

h

∘

f

∘

g

)

(

1

)

=

17

Based on this, to find the function for  

(

h

∘

f

∘

g

)

(

x

)

(combined from right to left, by the way), simply replace  

x

in  

f

(

x

)

with the function  

g

(

x

)

, and replace  

x

in  

h

(

x

)

with the function of  

(

f

∘

g

)

(

x

)

, to get  

(

h

∘

f

∘

g

)

(

x

)

.

This, simplified, is equal to  

2

x

+

15

, and therefore  

(

h

∘

f

∘

g

)

(

1

)

=

2

(

1

)

+

15

=

17

Hope that helps!

5 0
3 years ago
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