Since the forces exerted on the box are equal and opposite in direction, the net force will be 0, so the box will not move.
A way to think of this is the equal forces in opposite directions cancel each other out, so the net force is 0.
Answer:
The value of SecФ is 
.
Step-by-step explanation:
Given as for trigonometric function :
tan²Ф = 
Or, tanФ = 
∵ tanФ = 
So, =
So, Hypotenuse² = perpendicular² + base²
or, Hypotenuse² = ( 
)² + ( 
)²
Or, Hypotenuse² = 3 + 8 = 11
Or, Hypotenuse = ( 
)
Now SecФ = 
or, SecФ = 
= 
<u>Second Method</u>
Sec²Ф - tan²Ф = 1
Or, Sec²Ф = 1 + tan²Ф
or, Sec²Ф = 1 +
Or, Sec²Ф = 
Or, SecФ =
Hence The value of SecФ is . Answer
I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)
9!/1!4!1!2!1!
= 9 · 8 · 7 · 6 · 5 · 4!/4!2!
= 9 · 8 · 7 · 6 · 5/2
= 9 · 4 · 7 · 6 · 5
= 63 · 120
= 7,560 permutations
Answer:
$8.5 per hour
Step-by-step explanation:
Number of overtime hours = 4 hours
Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours
Total amount earned = $391
Let Hourly pay = x
Overtime pay = 1 1/2x = 3/2x
Therefore ;
40x + (4*3/2x) = 391
40x + 6x = 391
46x = 391
x = 391 / 46
x = 8.5
Hourly pay = $8.5 per hour
