Answer:
A =62x^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is given by
A=2(wl+hl+hw)
Given a width of 2x and length of 3x and a height of 5x, substitute into the equation
A = 2(2x*3x+ 5x*3x+ 2x*5x)
A = 2(6x^2 + 15x^2 +10x^2)
Combine like terms
A = 2(31x^2)
A =62x^2
is in quadrant I, so
.
is in quadrant II, so
.
Recall that for any angle
,

Then with the conditions determined above, we get

and

Now recall the compound angle formulas:




as well as the definition of tangent:

Then
1. 
2. 
3. 
4. 
5. 
6. 
7. A bit more work required here. Recall the half-angle identities:



Because
is in quadrant II, we know that
is in quadrant I. Specifically, we know
, so
. In this quadrant, we have
, so

8. 
Answer:
Convert 27 4/3 to an improper fraction.
Step-by-step explanation:
Exact Form:
85/3
Decimal Form:
28.¯3
Mixed Number Form:
28 1/3
Answer:
16Km due east of school P
Step-by-step explanation:
Given
A school P is 16km due west of a school Q
Thus, we can say that distance PQ = 16 km.
________________________________
now we have to find the bearing of Q from P
As distance is same
distance PQ = distance QP
Thus,
Distance will remain same of 16 km.
For direction,
If Q is west of P, then P will be east of Q
as shown in figure P is west of Q,
now from point P , Q is west P.
Thus,
Bearing of School Q from P is 16Km due east of school P
Answer:
47
Step-by-step explanation:
Remember triangle always equal to 180
180=70+4x-5+6x-15
x=13
4(13)-5
47
Angle A is 47