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RideAnS [48]
3 years ago
5

40.51x+12.45y=666.64

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer:

The graph of the equation 40.51x+12.45y=666.64 is attached with the answer where the horizontal axis represents the X axis and the vertical axis represents Y axis.

To plot the graph physically just find two points lying on the line. Mark the points on the graph sheet and then join them. This will give you the line represented by the equation.

To find points on the line assume the value of any one variable, substitute it in the equation, then solve the equation to find the value of other variable. For example : assume y = 1; substitute the value of y in the equation;

⇒ 40.51x + 12.45×1 = 666.64

⇒ 40.51x = 666.64 - 12.45

⇒ 40.51x = 654.19

⇒ x = \frac{654.19}{40.51}

⇒ x ≈ 16.149

Therefore point ( 16.149 , 1 ) lie on the graph of the equation.

***Only two points are required to plot this graph just because it represents a straight line, that we can conclude just by observing the equation. If in an equation the power of x is 1 or 0 and power of y is 1 or 0 then only it will represent a straight line in 2-D plane.***

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The diagram below gives the dimensions of a swimming pool. 18 ft , 20ft, 36ft (c) What is the total area of the swimming pool? E
WARRIOR [948]
The picture in the attached figure

Part 1) <span>What is the total area of the swimming pool?
</span>
we know that
<span>area of the swimming pool=area rectangle-area semi circle

area rectangle=20*36-----> 720 ft</span>²

area semicircle=pi*r²/2
r=18/2----> 9 ft
area semicircle=pi*9²/2----> 127.17 ft²

area of the swimming pool=720 ft²-127.17 ft²----> 592.83 ft²

the answer Part 1) is
The area of the swimming pool is 592.83 ft²

Part 2) <span>What is the perimeter of the swimming pool?
</span>
perimeter of the swimming pool=perimeter of rectangle-18 ft+perimeter semi circle
perimeter of rectangle=2*[20+36]---> 112 ft

perimeter semi circle=2*pi*r/2----> pi*r
r=9  ft
perimeter semi circle=pi*9----> 28.26 ft
 so
perimeter of the swimming pool=112 ft-18 ft+28.26 ft----> 122.26 ft

the answer Part 2) is
122.26 ft

6 0
3 years ago
PLEASE HELP with3,4,5,6 <br> DUE IN 20 min
Alika [10]

Answer:

3.

volume \ of \ cone = \frac{1}{3}\pi r^2h  = \frac{1}{3}*3.14*6*6*15 = 3.14*36*5 = 565.2cm^3

4.

volume \ of \ cone = \frac{1}{3}\pi r^2 h = \frac{1}{3} *3.14* 12*12*20 = 3.14*12*4*20 = 3014.4cm^3

5.

volume \ of \ sphere = \frac{4}{3} \pi r^3 = \frac{4}{3}*3.14 * 3*3*3* = 4*3.14*9 = 113.0cm^3

6.

diameter = 13cm\\\\radius = 6.5cm\\\\volume \ of \ sphere = \frac{4}{3} \pi r^3= \frac{4}{3} *3.14*6.5*6.5*6.5 = 1149.8cm^3

6 0
3 years ago
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Answer:

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6 0
3 years ago
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The sum of two numbers is 5.036. one number has a 4 in the tenths place and 7 in the thousandths place. The other number has a 1
elena55 [62]
<span>Find the two numbers that has the sum of 5.036
First number has a 4 in the tenths place and 7 in the thousands
=> x.4x7
The other number has 1 in the ones place and 2 in the hundredths place
=> 1.x2x
=> x.4x7 + 1.x2x = 5.036
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=> x.407 + 1.x29, in tenths place, notice that we already have 4, add 6 to make it 10, then carry 1 to ones place
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=> 3.407 + 1.629 = 5.036</span>



7 0
3 years ago
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Its 4 hope this helped

5 0
3 years ago
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