Answer:
width = 10 cm
Step-by-step explanation:
the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )
the perimeter (P) of a rectangle is calculated as
P = 2 × width + 2 × length
given P = 70 then
2(2x) + 2(5x) = 70
4x + 10x = 70
14x = 70 ( divide both sides by 14 )
x = 5
Then
width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm
Answer:
(-1, -1/2)
Step-by-step explanation:
use the midpoint formula(x1+x2/2, y1+y2/2)
-4+2/2, 2+-3/2
-4+2=-2/2=-1
2+-3=-1/2
(-1, -1/2)
Group like numbers
6-3-4i-2i
3-6i
Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals 
. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that 
and 
, then the axial stress experimented by the titanium wire is:
Since stress is greater than ultimate strength, the wire will break.
<span>4.23 times 9 equals 38.07 :)</span>
