Answer:
AOB = 55°
BOC = 87°
COD = 130°
AOD = 88°
Step-by-step explanation:
AOB = a°
= 55°
BOC = b°
= 87°
COD = c°
= 130°
AOD = 360°-AOB-BOC-COD
= 360°- a° - b° - c°
= 360° - 55° - 87° - 130°
= 88°
(Correct me if i am wrong)
Answer:
Let θ = (45 - A)°.
=> 2Tanθ/ 1 + Tan²θ
=> 2Sinθ/Cosθ / 1 + Sin²θ / Cos²θ
=> 2Sinθ/Cosθ/ Cos²θ + Cos²θ / Cos²θ
=> 2Sinθ/Cosθ/ 1 / Cos²θ
=> 2SinθCos²θ/Cosθ
=> 2SinθCosθ
=> Sin2θ
But we assumed θ = (45 - A)°,
=> Sin2(45 - A)
=> Sin(90 - 2A) (∵ Sin(90 - θ) = Cosθ)
=> Cos2A
= R.H.S
Hence proved.
Step-by-step explanation:
Answer:
(22/7)/6=0.523809
Step-by-step explanation:
V=4/3πr^3
V=4/3π(1/2)^3=π/6
or (22/7)/6=0.523809
There are 20 skirts in total and five of them are yellow.
The probability that she will pick a yellow skirt is 5/20 (simplifies to 1/4)
Multiply this by the probability that the coin will land on tails 1/2
1/4 x 1/2 =
1/8
Maria has a 1/8 chance that she will pick a yellow skirt AND land the coin on tails.
Answer:
14/19
Step-by-step explanation:
Note that there are two " - " signs here. Thus, the end result will be " + "
We move from left to right, obtaining first 10/19 divided by (5/7):
10
----- ÷ (5/7)
19
To divide by (5/7), invert (5/7) and then multiply. We get:
10 7 2(7)
----- * ----- = ------- = 14/19
19 5 19
