Answer:
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Answer:
The correct answers are given below
Step-by-step explanation:
In a deck of 52 cards, there are 4 suits of 13 cards
1) Spade(red)
2). Heart(red)
3). Diamonds (red)
4). Clubs (black)
Each suits area ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3 and 2
To find the probabilities
1). The probability of drawing a red ace followed by another ace of any color without replacement = 2/52 *3/51 = 1/442
2). The probability of drawing a 3 or 5 followed by a 4 or 6 with replacement = 8/52 * 8/52 = 4/169
3). The probability of drawing a king followed by queen with replacement = 4/52 * 4/52 = 1/169
4). The probability of drawing a spade followed by a jack of any color with replacement = 13/52 * 4/52 = 1/52
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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1. To solve this problem, it is important to know that<span> the logarithmic functions and the exponential functions are inverse. Then, you have:
</span><span>
e^a=28.37
</span><span> a=ln(28.37)
</span><span>
2. Therefore: </span><span>Which logarithmic equation is equivalent to the exponential equation e^a=28.37? A</span><span>s you can see, the answer for this question is:
</span><span>
a=ln(28.37)</span>
y=2x so replacr the -y with -2x so 2x+6 is 8x. :)