Answer:
MN = 7 cm
Step-by-step explanation:
Well the volume we can separate into pieces
first the ABCDEFGH (? you know this cuboid)
which has a volume of
if you ask where does the 4 come from
it comes from LP = KB = YC and JY + YC =JC
so
this is because JY = MX
the other volume is of BCNPKLXY (hope you understand which one)
and the volume is
and the last one is KYXLMJ (the top "triangle")
the volume is
so now add them up
and has to equal 444
and finally we know that MN = MX + XN = 3+4 = 7
so here is our answer MN = 7 cm
a couple of notes
3. the units don't matter due to the fact that everything is in cm
4. see the picture below to get a better idea of which prism I am talking of
5. tell me if you have questions :D
Angle 3, they are opposite interior angles
Answer:
10054.4m^3
Step-by-step explanation:
Given data
Height= 32m
Diameter= 20m
Radius= 10m
The expression for the volume of a cylinder is given as
V= πr^2h
Substitute
V= 3.142*10^2*32
V= 3.142*100*32m^3
Hence the volume is 10054.4m^3
Answer:
x ≈ 4.2 (nearest tenth)
Step-by-step explanation:
The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).
An isosceles triangle comprises two right triangles, each with:
- base = 2 units
- height = 3.7 units
- hypotenuse = x units
Therefore, to find x use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 2² + 3.7² = x²
⇒ x² = 17.69
⇒ x = √(17.69)
⇒ x = 4.2 (nearest tenth)
