The compass will lose its magnetic properties
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➷ Split 30 into the ratio 2 : 3
12 : 18
12 / 18 + x = 1/5
Cross multiply:
12(5) = 1(18 + x)
60 = 18 + x
Subtract 18 from both sides:
x = 42
42 girls entered the classroom
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➶ Hope This Helps You!
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Answer:
C
Step-by-step explanation:
you need to find how many cups of water were used in the game:
512-384=128
and then you can begin to calculate the number after that:
128/16=8(gallons)
hope it'll help! have a good day!
Answer: The area is 268 cm squared (approximately)
Step-by-step explanation: The area of a parallelogram is given as ;
Area = b x h
Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;
Sin 79 = opposite/hypotenuse
Sin 79 = h/13
By cross multiplication we now have
Sin 79 x 13 = h
0.9816 x 13 = h
12.76 = h
With the vertical height now known, we can calculate the area as follows
Area = b x h
Area = 21 x 12.76
Area = 267.96 cm squared
The slope form: y = mx + b
We have:
3x - 6y - 2 = 0 |add 6y to both sides
3x - 2 = 6y |divide both sides by 6
3x/6 - 2/6 = 6y/6
x/2 - 1/3 = y
y = 1/2 x - 1/3