Answer:20πmm
Step-by-step explanation:
each pencil diameter=10mm
each pencil diameter=radius Of The band
Radius of band=10mm
Circumference of band=2 x π x radius
Circumference of band=2xπx10
Circumference of band=20π
The length of band is the circumference Of The band
There length of band is 20πmm
Answer:
Step-by-step explanation:
(3,1) lies below the vertex, so the parabola opens downwards.
Equation for a down-opening parabola with vertex (2,3):
y = a(x-2)² + 3, a<0
Plug in (3,1) and solve for a:
1 = a1² + 3
a = -2
y = -2(x-2)² + 3
Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be 
= 80
ii) let the second term be 
= . r = 80 × r = 60 ∴ r = 
= 0.75
iii) let the third term be 
= . r = 60 × r = 45 ∴ r = 
= 0.75
iv) let the fourth term be 
= . r = 45 × r = 33.75 ∴ r = 
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
Answer:
5 units
Step-by-step explanation:
here;
perpendicular (p)= 3
base (b) = 4
hypotenuse (h) = c= ?
By Pythagorean relationship;
h²=p²+b²
or, h= √(p²+b²)
or, c= √(3²+9²)
or, c= √25
hence, c=5
