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3 years ago

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Mathematics

1 answer:

ryzh [129]3 years ago

8 0

Answer:

(1 ) Inner curved surface area of the well is 109.9 sq. meters.

(2) The cost of plastering the total curved surface area is 4396.

Step-by-step explanation:

The inner diameter = 3.5 m

Depth of the well = 10 m

Now, Diameter = 2 x Radius

⇒R = D/ 2 = 3.5/2 = 1.75

or, the inner radius of the well = 1.75 m

CURVED SURFACE AREA of cylinder = 2πr h

⇒The inner curved surface area = 2πr h = 2 ( 3.14) (1.75)(10)

= 109 sq. meters

Hence, the inner curved surface area of the well is 109.9 sq. meters.

Now, the cost of plastering the curved area is 40 per sq meters

So, the cost of total plastering total area = 109.9 x(Cost per meter sq.)

= 109.9 x (40)

= 4396

Hence, the cost of plastering the total curved surface area is 4396.

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If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ?

attashe74 [19]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

A map has a scale of 1:5000000000 .

erastova [34]

Considering the definition of scale, you obtain:

the real length of the road is 500,000 km.
the real area of the farm is 300 hectares.

<h3>Definition of map</h3>

A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.

<h3>Definition of scale</h3>

The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.

That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

<h3>Real length of the road</h3>

A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.

You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).

Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?

$real length of the road=\frac{0.0001 kmx 5,000,000,000 km }{1 km}$

<u><em>real length of the road= 500,000 km</em></u>

Finally, the real length of the road is 500,000 km.

You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).

Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?

$real area of the farm=\frac{0.00000006 hectaresx 5,000,000,000 hectares }{1 hectare}$

<u><em>real area of the farm= 300 hectares</em></u>

Finally, the real area of the farm is 300 hectares.

<h3>Summary</h3>

In summary, you get:

the real length of the road is 500,000 km.
the real area of the farm is 300 hectares.

Learn more about scale:

brainly.com/question/15394385

brainly.com/question/27928319

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7 0

1 year ago

If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?

aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

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2 years ago

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Suppose you get a cut on your finger and 5 bacteria cells get into the cut. Each hour the number of bacteria cells will double u

BlackZzzverrR [31]

Answer:

5⁶⁴ = 152587890625⁴ bacteria's at 7 hours

Step-by-step explanation:

Simple..

it means the bacteria is increasing exponentially.

This is a geometric progression.

at 0 hrs = 0 bacteria

at 1 hr = 5 bacteria

at 2hr = 25 " = 5²

at 3hrs = 25 x 25 = 5² x 5² = 5⁴

at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸

at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶

at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²

at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴

5⁶⁴ = 152587890625⁴

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2 years ago

When (3,-2) is reflected across the x-axis the resulting image point is:

tankabanditka [31]

Step-by-step explanation:

Reflection across the x-axis:

(x,y) -> (x,-y)

In other words, you want to <u>change the sign of the y</u>.

(3,-2) -> (3,2)

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2 years ago