Answer:
6.1
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) * h where b1 and b2 are the lengths of the bases
108.6 = 1/2 ( 12+p) *12
108.6 = 6 (12+p)
Divide each side by 6
108.6 /6 = 12+p
18.1 = 12+p
Subtract 12 from each side
18.1-12 = 12+p-12
6.1 = p
Step-by-step explanation:
Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.
tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)
∴tanθ=88/1532=0.0574
∴θ=tan−1(0.0574)=3.290(2dp)
Answer:
d-2 and d cannot = 8
Step-by-step explanation:
d^2 -10d+16
-----------------------
d-8
Factor the numerator
( d-8)(d-2)
-------------------
d-8
The undefined values occur when the denominator is equal to zero
d-8 = 0
d= 8
This means d cannot equal 8
Now cancel like terms in the equation ( d-8)
This yields d-2
1/7 * 1/2 = 1/14
1/2 because there is a 50/50% chance its either heads or tails
(x - 2) • (x - 3) • (x - 4) • (x - 5)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((((x4)-(14•(x3)))+71x2)-154x)+120
Step 2 :
Equation at the end of step 2 :
((((x4) - (2•7x3)) + 71x2) - 154x) + 120
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,3 ,4 ,5 ,6 ,8 ,10 ,12 ,15 , etc