Answer:
The area of the quarter circle is
Step-by-step explanation:
we know that
The area of a quarter circle is equal to
we have
substitute the value
I am really bad at math. What is AC?
2 answers:
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Answer:
Option (1), (2) , (7) and (8) is correct.
Step-by-step explanation:
Given: a║b and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.
Since, a║b and d be a transversal then ,
∠BXZ = ∠AZP = 58° ( corresponding angles )
Thus, m∠2 = 58°
∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)
Since, a║b and c be a transversal then,
∠XYZ = ∠QZU = (4X-10)° (Corresponding angles)
Thus, m∠1 = (4X-10)°
Also, Since, 'a' is a straight line.
Sum of angles on a straight line is 180°.
⇒ ∠PZA + ∠PZQ + ∠QZU = 180°
⇒ 58° +(3X-1)°+(4X-10)° = 180°
⇒ 58° + 7x - 11 = 180°
⇒ 47° + 7x = 180°
⇒ 7x = 180°- 47°
⇒ 7x = 133°
⇒ x = 19°
Put x = 19 in (3X-1)° and (4X-10)° , we get
(3X-1)° = (3(19)-1)° = 56°
(4X-10)° = (4(19)-10)°= 66
Thus, (3X-1)° ≠ (4X-10)°
Thus, option (1), (2) , (7) and (8) is correct.
Answer:
74.4°
Step-by-step explanation:
Given
- ∠G=90° => ΔEFG is a right triangle
- EF = 95 feet
- FG = 26 feet
Use sine law to find ∠F
As we know:
Sin(GEF)/ GF = Sin(EGF)/EF
<=> Sin(GEF) / 26 = Sin(90)/95
<=>Sin(GEF) / 26 = 1/95
<=> Sin(GEF) = 26/95
<=> ∠GEF ≈ 15.8°
=> ∠F = 180° - ∠G - ∠GEF
∠F = 180° - 90° - 15.8° = 74.4°
