Answer:
∠ BDA = 55° , ∠ BCA = 70°
Step-by-step explanation:
∠ BOA = 360° - 250° = 110° ( angles round a point )
The central angle is twice the angle on the circle, subtended on the same arc
∠ BDA =
∠ BOA =
× 110° = 55°
OBCA is a tangent kite
Opposite angles sum to 180° , then
∠ BCA = 180° - ∠ BOA = 180° - 110° = 70°
Answer:
16
Step-by-step explanation:
The speed of Maglev train is 267 miles per hour.
Step-by-step explanation:
Given,
Speed of Maglev train = 430 kilometers per hour
We know that;
1 kilometer = 0.62 miles
Therefore,
430 kilometers = 0.62*430
430 kilometers = 266.6 miles
Rounding off to nearest whole number
430 kilometers = 267 miles
The speed of Maglev train is 267 miles per hour.
Keywords: Speed, conversion
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Answer:
x = 162 cards need to be dealt with
Step-by-step explanation:
Given:
- Estimation of likelyhood of next card to be queen, a king, or an ace:
( 64 - 0.2*x ) / ( 208 - x )
Find:
For what values of x is this likelihood greater than 70%?
Solution:
- Use the likely-hood estimation relation and set up the inequality as follows:
( 64 - 0.2*x ) / ( 208 - x ) > 0.7
( 64 - 0.2*x ) > 0.7*( 208 - x )
64 - 0.2*x > 145.6 - 0.7*x
0.5*x > 81.6
x > 163.2
- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%