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Mashutka [201]
2 years ago
13

A dome of a building is in the form of a hemisphere from inside it was whitewashed at the cost of rupees 4989.60 if the cost of

white washing is rupees 20 per meter square find the inside surface area of dome and volume of air inside the dome
Mathematics
1 answer:
Luda [366]2 years ago
6 0

Answer: 249.48\ m^2; 369.168\ m^3

Step-by-step explanation:

Given

Cost of white-washing =Rs. 4989.60

Rate =20 per meter square

So, inside area of = \dfrac{4989.60}{20}=249.48\ m^2

The surface area of dome= 4\pi\ r^2=249.48

4\times 3.142\times r^2=249.48\\r^2=\frac{249.48}{4\times 3.142}=19.85\\r=4.455\ m

The volume of air in the dome V=\frac{4}{3}\pi r^3

V=\frac{4}{3}\cdot 3.142\cdot (4.45)^3\\V=369.17\ m^3

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There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
amid [387]

Answer:

314.96in

Step-by-step explanation:

7 0
3 years ago
What is the solution to the following equation? 12 + 3x+7 = 0
Diano4ka-milaya [45]
The answer is x=-6.33333 (-19/3)

First, add like terms (12+7), which would equal to 19.
Then isolate the variable by subtracting 19 and adding it to the other side of the equal sign.
Now with this new equation of 3x=-19, isolate again by dividing 3 from x and do the same thing to the other side (-19/3).
The answer should be -6.33 repeating, but in algebra you would give a more simplified answer. This would be -19/3
3 0
1 year ago
Read 2 more answers
What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?
Leya [2.2K]

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is y=\frac{-2 x}{3}+\frac{-2}{3}

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also m=-\frac{2}{3}

Equation of line passing through (x_1 , y_1) and having slope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=2 \text { and } y_{1}=-2

Substituting the values in equation of line we get

(y-(-2))=-\frac{2}{3}(x-2)

\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}

y=\frac{-2 x}{3}+\frac{-2}{3}

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as y=\frac{-2 x}{3}+\frac{-2}{3}

7 0
3 years ago
75% of a number is 120. What is 40% of the number? A. 36 B. 64 C. 138 D. 225
kakasveta [241]

Answer:

B.64

Step-by-step explanation:

75% of a number is 120.

Let's take "x" be the number.

75% of x = 120

75/100 * x = 120

0.75x = 120

x = 120/0.75

x = 160

So the number is 160.

Now we have to find the 40% of the number 160.

= 40/100 * 160

= 0.4 *160

= 64

40% of the number is B.64

Thank you.

4 0
3 years ago
Read 2 more answers
How do you determine two angles which are coterminal to the given angles ?
Julli [10]

Answer:

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found.

Step-by-step explanation:

i hope this helped you :)

7 0
2 years ago
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