Cosα=x/L
L=x/cosα, we are told that the ladder base is 48 ft from the base of the wall and α=39° so:
L=48/cos39 ft
L≈61.76 ft (to nearest hundredth of a foot)
9514 1404 393
Answer:
70 square units
Step-by-step explanation:
The overall outline is 15 units wide and 8 units high, for an area of ...
A = WH
A = (15 units)(8 units) = 120 units²
__
The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...
A = (5 units)(10 units) = 50 units²
__
The shaded area is the difference between the overall area and the white space taken out:
shaded = 120 units² -50 units² = 70 units²
Top:
x / (x + 1) - 1 / x
= [x^2 - (x +1)] / x(x+1)
= (x^2 - x - 1 ) / x (x+1)
Bottom:
x / (x + 1) + 1 / x
= [x^2 + (x +1)] / x(x+1)
= (x^2 + x + 1 ) / x (x+1)
Now you have:
(x^2 - x - 1 ) / x (x+1)
----------------------------
(x^2 + x + 1 ) / x (x+1)
= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )
= (x^2 - x - 1 ) /(x^2 + x + 1 )
Answer:
x^2 - x - 1
---------------------
x^2 + x + 1
9514 1404 393
Answer:
∠3 = ∠5 = ∠7 = 65°
∠2 = ∠4 = ∠6 = ∠8 = 115°
Step-by-step explanation:
In this geometry, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute and obtuse angles are supplementary.
Here, the acute angles all have odd numbers; the obtuse angles all have even numbers.
Odd-numbered angles measure 65°.
Even-numbered angles measure 180° -65° = 115°.
