Given:
Required:
To find the probability that the dart land will be in the shaded region.
Explanation:
Area of the circle is given by the formula:

Where r = radius
Thus the area of the circular region

The area of the square is given by the formula:

Thus the area of the given square

The probability of an event is given by the formula:

The probability that the dart land will be in the shaded region

Thus probability

Final answer:
Thus the probability that the dart land will be in the shaded region is 0.349.
Answer:
37.7
Step-by-step explanation:
EF and ED define the Tangent of D
Tan(37) = side opposite D / side adjacent to D
Opposite means a line (FE) that is not connected to the angle. It is never the longest line (hypotenuse) in a Right Triangle
Adjacent means the leg that is connected to the angle, but is not the hypotenuse.
Tan(D) = opposite over adjacent
Opposite = x
Adjacent = 50
Tan(37) = 0.7536 rounded to 4 places, but I've kept the exact value in my calculator.
0.7536 = x / 50 Multiply both sides by 50
0.7536*50 = x
x = 37.6777
The nearest 1/10 is 37.7
Answer:
b+24
x-18
a/3
Step-by-step explanation:
The amount after time t will be given by simple interest formula given by:
A=prt/100
where:
principle,p=$175
rate, r=3.5%
time, t=5 years
thus the rate earned after 5 years will be:
A=(175*3.5/100*5)
A=$30.625
Answer: B] 30.65
Answer:
A. p = q
Step-by-step explanation:
For each triangle, add the angles together and then subtract the sum from 180°.
First triangle:
60° + 50° = 110°
180° - 110° = 70°
Missing angle = 70°
Second triangle:
80° + 30° = 110°
180° - 110° = 70°
Missing angle = 70°
Hope this helps :)