Answer:
A = 240 units²
Step-by-step explanation:
the area (A) of a regular polygon is
A = 
pa ( p is the perimeter and a the apothem )
here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then
A = × 48 × 10 = 24 × 10 = 240 units²
Answer:
Step-by-step explanation:
here is some helpful trig function reminders.. copy this and keep it
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
they ask how long is the ladder
they give us the opposite side (8) and the adjacent side (6)
and the Hyp is the length of the ladder. They expect you to sort this out in your head. :/
there is two steps .. we'll solve for the angle.. then we can use that to find the Hyp side..(long side of triangle) which is the ladder length
Tan(Ф) = Opp / Adj
Tan(Ф) = 8 / 6
Ф = arcTan(8 / 6)
Ф ≈ 53.130°
now lets use that angle with one of the other trig functions to find the Hyp.. sin or cos will work b/c we have both the opp and the adj sides lengths. let's use cos
Cos(53.130) = 6 / Hyp
Hyp = 6 / Cos(53.130) ( I just used algebra to swap the two)
Hyp = 9.99997
the ladder will be 10' long.
ask in the comments if you need any more explaining
Based on the number of exemptions claimed by Selina and her biweekly gross pay, her state tax will be $16.80.
<h3>How much will Selina pay for state taxes?</h3>
Selina is to pay 21% of her federal taxes.
Seeing as she claims a single exemption and falls in the $840 to $860 bracket, the table shows that her federal tax contribution would be $80.
State taxes are therefore:
= 80 x 21%
= $16.80
Find out more on withholding allowances at brainly.com/question/11308445.
#SPJ1
we are given
where
F is the number of board feet
d is the diameter (in inches) of the log
Since, we have to minimize F
so, firstly we will find it's derivative
now, we can set it to 0
and then we can solve for d
so, we get diameter as
..............Answer
Yes that is correct always
