Answer:
k = 18
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 3 when x = 6, that is
3 = 
( multiply both sides by 6 )
18 = k
The constant of variation is k = 18
Answer:
the answer is 60
Step-by-step explanation:
4*5*3=60
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.
Answer:
301.44 mm
Step-by-step explanation:
Diameter of the inside ring of a packing tape = 80 mm
The tape surrounding the ring is 8 mm beyond the ring which means the diameter of the ring including the surrounding will be:
80 + 8 + 8 = 96 mm
and its radius will be = 96/2 = 48.
To find the distance around the outer edge of the tape, we need to calculate the circumference for the ring with the tape on it.
<em>Circumference = 
</em>
Circumference = 2 x 3.14 x 48 = 301.44 mm
Therefore, the distance around the outer edge of the tape is 301.44 mm.
For A (x+6), (y-2)
For B (x+6), (y-2)
For C (x+2), (y+2)
Good luck
