Answer:
b = 252 in
Step-by-step explanation:
cos theta = adjacent side over hypotenuse
cos 38 = b/ 320
Multiply each side by 320
320 cos 38= b/320 * 320
320 cos 38 = b
252.1634412 =b
To the nearest whole number
252 =b
Answer:
The probability is 1/18.
Step-by-step explanation:
There are 10 balls in total. Let's start with the probability of just the green. There is 1 green ball.out of 10 balls total, so the probability of pickin just the green one would be 1/10. Since we aren't replacing the balls after we choose them, the total number of balls is now 9. now the probability of picking one yellow ball out of the nine balls left is 5/9 because there are 5 yellow balls. To get the probability of the green and yellow balls picked, we multiply the individual probabilities to get the actual probability of choosinf one green and one yellow ball without replacement. So multiply 1/10×5/9= 5/90, simplified to 1/18.
The answer is:
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" 3 < x < 4 " ; or; write as: " 4 > x > 3 " .
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Explanation:
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Given:
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" 4 < 2x + 10 < 18 " ,
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Divide the entire inequality by "2" to simplify:
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{4 < 2x+10 < 18 } / 2 ;
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2 < x+5 <9
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First, we have:
2<x+5 ;
Subtract "2" form each side:
(2-2) < (x + 5 - 2) ;
0 < x - 3 ;
Add "3" to each side:
0 + 3 < x - 3 + 3 ;
3 < x
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Then we have;
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x + 5 < 9 ;
Subtract "5" from each side;
x + 5 - 5 < 9 - 5 ;
x < 4
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So, we have:
3 < x and x < 4
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We can combine these; and write as:
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" 3 < x < 4 " ;
or: write as: " 4 > x > 3 " .
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Answer:
4+62=66
Step-by-step explanation:
5/6y-2=8
+2 +2
Add the reciprocal to cancel out the twos andd 8+2=10
so you have left 5/6y=10 and you'll take the reciprocal of 5 divided by 6 times five and cancels the 5/ out and also multiply 10*5 and you're left with 6y=50 then you just divide by six and there you go you have y=12
hope this helped