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Alex_Xolod [135]
3 years ago
13

the length of a diagonal of a square field is 220 m find the length of a side in metres and the area of the field in hectares​

Mathematics
2 answers:
galben [10]3 years ago
8 0
Given area of square field =0.25 hectare
1 hectare =10,000m =0.25×10,000 =0.25×100 =2500 sq. m
Let side of square be 'a'
Area of square =a 2 a 2 =2500 ⇒a=50m
Diagonal of square = 2 a= 2 ×50=50 2 ​ m.
lakkis [162]3 years ago
6 0

Answer:

155.56m

0.242 hectares

Step-by-step explanation:

L=\frac{220}{\sqrt{2} } =155.56m

A=\frac{155.56^{2}}{10^{5} }  =0.242

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Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bou
Crazy boy [7]

Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let x denotes number of blankets and y denotes number of pillows.

Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.

16x+10y=120

Divide this equation by 2.

8x+5y=60\,\,...(i)

Ms. Day bought 9 items.

x+y=9

Multiply this equation by 5.

5x+5y=45\,\,...(ii)

Subtract (ii) from (i)

3x=15\\x=5

Put x=5 in x+y=9

5+y=9\\y=9-5\\y=4

Therefore,

Ms. Day bought 5 blankets and 4 pillows.

4 0
2 years ago
Solve the system<br> 4x + 2y = 10<br> x = y + 13
Maslowich

Answer:

x = 6

y = -7

Step-by-step explanation:

We have the system of equations:

4x+2y=10\\x=y+13

Let's solve by substituting. We know that x=y+13, so we can substitute y+13 in as x in the equation 4x+2y=10.

4(y+13) + 2y = 10

Simplify this down so that we have y on one side of the equation:

4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7

Now that we know the value of y, we can substitute it in to the equation x = y+13 to find x.

x = -7+13\\\\x = 6

Hope this helped!

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Answer:

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Step-by-step explanation:

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3 years ago
30 points I'm struggling Find the equations of each line and show all of your work. (1, 5) (2, 6) (1, 1) (3, -8) (2, -3) (5, -2)
Free_Kalibri [48]

Answer:

1.(1,5) and (2,6) , 6-5/2-1=1/1 m=1 ,y=1x+b

5=1(1)+b 4=b

y=x+4

2.(1,1) and (3,-8) -8-1/3-1=-9/2 m=-9/2 ,y=-9/2x+b

1=-9/2(1)+b b=11/2

y=-9/x+11/2

3.(2.-3) and (5,-2) m=1/3 ,y=1/3x+b

-3=1/3(2)+b -3=2/3+b

-3-2/3=b

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y=1/3x-11/3

4.(2,5)and (4,3) m=-1 y=-1x+b

5=-1(2)+b 5=-2+b

5+2=b

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y=-1x+7

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Step-by-step explanation:

7 0
2 years ago
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