Answer:
2:3
Step-by-step explanation:
ratio = 4:7
4 parts = 48
1 part = 12
Mary has 48
Anne has 84
Mary will have 56
56:84 = 2:3
Answer:
3.08
Step-by-step explanation:
because 144 is a squre root of 12
Answer:
22 + 3pi
Step-by-step explanation:
The width of the rectangle is 6. The height of the rectangle is 8. The diameter of the semicircle is 6.
perimeter = 8 + 6 + 8 + (1/2)(pi)d
perimeter = 22 + (1/2)(pi)(6)
perimeter = 22 + 3pi
Answer:
(B) 36°
Step-by-step explanation:
AB is a secant to the circle and B D is the tangent.
Consider O as the center of the circle.
then ∠A O C =72° and ∠ COD =132°
As OD ⊥ B D [ Line from the center to the point of contact of tangent are perpendicular.]
∠ OD B= 90°
In Δ A O C
O A = O C [radii of same circle]
∠ O A C = ∠ O C A [ If sides are equal angle opposite to them are equal]
∠ O A C + ∠ O C A +∠ A O C =180° [ sum of angles of triangle is 180°]
2∠O AC+72° = 180°
∠O AC = 108°÷2
∠O AC = 54°
In Δ A B D
∠A B D + ∠A DB+ ∠BAD =180° [angle sum property of triangle]
∠A B D +90° +54° =180°
∠A B D = 180 - 144°
∠A B D =36°
Option (B) is correct.