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BARSIC [14]
2 years ago
10

A rectangular lawn 80 m x 60 m has two roads each 10m wide running in the middle of it, one parallel to the length and the other

parallel to the breadth. Find the cost of gravelling them at ₹ 1.20 per sq meter.​
Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
6 0

Answer:

₹1680

Step-by-step explanation:

<u>Road</u>  <u>Length (m)</u>  <u>Width (m)</u>   <u>Area (</u>m^{2}<u>)</u>

  1            80              10              800

  2           60              10               600

(800+600) = 1400 <u>(</u>m^{2}<u>)</u>

<u></u>

1400 <u>(</u>m^{2}<u>)</u>*(₹ 1.20/m) = ₹1680

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Solve the proportion x/6=12/9
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Multiply by 6 and simplify
.. x = 6*12/9 = 72/9 = 8

x = 8
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Enter the ordered pair that is the solution to the system of equations graphed below.
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Answer:

Step-by-step explanation:

The solution is the coordinates of the point where the lines intersect: (3,5)

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What is the volume of a hemisphere with a radius of 61.9 m, rounded to the nearest
ZanzabumX [31]

Answer:

The volume of the hemisphere is 496741.6 m³

Step-by-step explanation:

The volume of an sphere is given by:

V_{s} = \frac{4\pi r^{3}}{3}

In which \pi = 3.14 and r is the radius.

An hemisphere is half of an sphere, so it's volume is half the sphere's volume. So

V_{h} = \frac{V_{s}}{2} = \frac{2\pi r^{3}}{3}

In this question:

r = 61.9. So

V_{h} = \frac{2\pi (61.9)^{3}}{3} = 496741.6

The volume of the hemisphere is 496741.6 m³

8 0
3 years ago
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What value will make the equation true? <br> Y + 2 + 6 + Y = 86
g100num [7]

Answer:

39

Step-by-step explanation:

you need to work backwards

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therefore, 78 = 2y

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5 0
3 years ago
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Write a system of linear inequalities so the points (1, 2) and (4, -3) are solutions of the system, but the point (-2, 8) is not
Verizon [17]

Answer: \left \{ {{y\leq -\frac{5}{3}x + \frac{11}{3}} \atop {y < 8}} \right

<u>Step-by-step explanation:</u>

(1, 2) and (4, -3)

First, find the slope (m): \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-3-2}{4-1}

   = -\frac{5}{3}

Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)

y - 2 = -\frac{5}{3}(x - 1)

y - 2 = -\frac{5}{3}x + \frac{5}{3}

y      = -\frac{5}{3}x + \frac{11}{3}

Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):

y ___ -\frac{5}{3}x + \frac{11}{3}

8 ___ -\frac{5}{3}(-2) + \frac{11}{3}

8 ___ \frac{1}{3}

8 > \frac{1}{3}

so ≤ makes the statement False

⇒ y ≤ -\frac{5}{3}x + \frac{11}{3}

****************************************************************

If you need a "system" of inequalities, then you need another equation.

There are infinite possibilities. Graph the points to see what works.  

y < 8   or  x > -2 are two examples.


---> I just realized that the system can be simpler than what I did above:

\left \{ {{x>-2} \atop {y < 8}} \right



4 0
4 years ago
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