Answer:
Step-by-step explanation:
Use the change-of-base rule.
log₂(62) = ln(62)/ln(2)
Answer:
y = 120º
Step-by-step explanation:
180 - (33 + 87) = 60
x = 60
180 - 60 = 120
y = 120º
or y = 33 + 87, because the outer angle of one angle equals the other two inner angles.
Answer:
The correct graph is graph E.
Step-by-step explanation:
We can tell this because we know the graph must stay below 3. So any graph over 3 gets thrown out. We also know that it must not go further down than -3. This is because any number over -3 as an input, when taking an absolute value, would be greater than 3.
Graph E shows numbers that are all less than 3 and greater than -3.
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.
Answer:
1
Step-by-step explanation:
One is the smallest multiple of 50. We can find this by finding all the multiples of 50. The multiples of 50 are: 1, 2, 5, 10, 25, and 50.
We can see that one is the smallest multiple because it is less than 2, 5, 10, 25 and 50. So, that means the answer to the question is 1.
Hope this helps.
