Answer:
x = 145°
Step-by-step explanation:
We know that y = 98°, so we can find ∠DBC:
180°-y = ∠DBC
180°-98° = 82°
We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.
∠DBC + z = x
82°+63° = x
x = 145°
The distance is approximately 703 kilometers.
To travel that in 12 hours, a car has to go at 703/12=58.583 km/h
Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:

(b) The probability of winning a 6/53 lottery is given by:

(c) The probability of winning a 6/51 lottery is given by:

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

It is 1.6417 times more probable.
The perimeter of the shape is 94 cm and the area is 462 sq cm.
Step-by-step explanation:
Given,
The radius (r) = 14 cm
To find the area and perimeter of the given shape.
The given shape is
of the full circle.
Formula
The perimeter of the circle = 2πr
The perimeter of the given shape =
(2πr)+r+r =
(2πr)+2r
The area of the circle = πr²
Now,
The perimeter of the given shape =
(2×
×14)+2×14 = 94 cm
The area of the given shape =
(πr²)
=
×
×14² = 462 sq cm
Answer:
The answer will be D. 181
Step-by-step explanation:
603 - 422 = 181
<em>Please mark me as the brainliest.</em>