Answer: Our required equation would be
Step-by-step explanation:
Since we have given that
y=30, when x = 6.
As there is direct proportion between x and y.
so, it becomes,
So, the equation connecting y and x would be
When we put the value of k, we get that
Hence, our required equation would be y=5x
Answer:
x = 
Step-by-step explanation:
Given
x -
= 
Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions
8x - 1 = 3 ( add 1 to both sides )
8x = 4 ( divide both sides by 8 )
x =
= 
Answer:
Area of pathway = 10.375 unit²
Step-by-step explanation:
Given - Peter has built a gazebo, whose shape is a regular heptagon, with
a side length of 1 unit. He has also built a pathway around the
gazebo, of constant width 1 unit, as shown below.
To find - Find the area of the pathway.
Proof -
Central angle =
= 51.43°
Now,
Central angle / 2 =
= 25.71°
And
height =
= 1.038
Now,
Inner area of gazebo = 7·
·1·(1.038) = 3.634 unit²
Outer area of gazebo = (
)²·(3.364) = 14.009 unit²
∴ we get
Area of pathway = Outer area - Inner area
= 14.009 - 3.634
= 10.375 unit²
⇒Area of pathway = 10.375 unit²
Step-by-step explanation:
the eqn is 3x-2y+10=0
slope m=-3/-2=3/2 (m=(-xcoeff/ycoeff)
eqn is
y-y1=m(x-x1)
y+5=3/2(x-2)
2y+10=3x-6
3x-2y-16=0
Answers:

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Work Shown:


P = perimeter

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A = area
