Answer:
total marbles;12
after drawing red total counts are 7 red and 4 white 11 in total
probabilities are 4/11
sorry misread the question
The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.
From the picture you have a = 10 and c = 15.
Now you have:
10^2 + b^2 = 15^2
Simplify:
100 + b^2 = 225
Subtract 100 from both sides:
b^2 = 125
Take the square root of both sides:
b = √125
b = 11.2
Answer:
a. Kito has been billed correctly
Step-by-step explanation:
We simply need to check Kito's work to see if his price is accurate.
First, we can add the prices together to find the price before the sales tax is applied: 39.99 + 24.99 + 26.99 = $91.97
We can use this formula to figure out the total cost, C, after the sales tax, t is added:
C = l + (l * (t / 100)), where l = the price before applying the sales tax
C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49
We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping. Thus we add: 97.49 + 8.20 = $105.69.
If we did not round before, we would still get the same answer when rounding: 97.4882 + 8.20 = 105.6882 = $105.69
<h3>
Answer: Choice H) 2</h3>
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Explanation:
Recall that the pythagorean trig identity is 
If we were to isolate sine, then,
We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations, 
Cosine is also positive in this quadrant.
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So,
Therefore,
is an identity as long as 0 < x < pi/2
