Answer:
42.43
Step-by-step explanation:
Given:
A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
Question asked:
What is the area of the shaded region as shown in the figure ?
Solution:
First of all calculate area of circle and then area of rectangle:-


<u>As here length an width both are 11 cm, we can say that this is a square.</u>
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Now, area of shaded region = Area of square - Area of circle
= 121 - 78.571 = 42.429 
Therefore, the area of the shaded region will be 42.43 
400×10=4000
400×2=800
50×10=500
50×2=100
2×10=20
2×2=4
4000+800+500+100+20+4=5,424
Check answer by multiplying 452 and 12
452×12=5,424
<h3>Answer:</h3>
2/15
<h3>Explanation:</h3>
There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.
Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.
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<em>Comment on nCk</em>
The number of ways to choose k objects from n, when order does not matter, is ...
... n!/(k!(n -k)!)
For the computations above, we have ...
... 8C2 = 8·7/(2·1) = 28
... 21C2 = 21·20/(2·1) = 210
Answer:
Slope = 4/3
Step-by-step explanation:
Formula for slope-intercept form: y=mx + b
Given: 3y - 4x = -6
Add -4x to the right hand side to isolate out 3y (y).
It should look like this: 3y = 4x -6
Now divide both sides by 3.
You should get: y = 4/3x -2
Since it's asking for slope, your slope is 4/3.