Given:
Radius of circle is 13 cm
Height of triangle is 5 cm
To find:
Value of 'a' and 'b'
Steps:
To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,
A² + B² = C²






Now to find the value of 'b', i will use law of cosine,


Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively
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1)We need to know the amount of yellow tint in the old mixture.
amount of yellow tint=30% of 40 liters
30%=30/100=0.3
Amount of yellow tint=0.3(40 liters)=12 liters.
2)We need to find the amount of yellow tint in the new mixture.
amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.
3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters
4) we compute the percent of yellow tint in the new mixture:
percent of yellow tint =(amount of yellow tint / amount of mixture)*100
percent of yellow tint=(21 liters / 49 liters)100≈42.9%
Answer: The percent of yellow tint in the new mixture is 42.9%.
note: if this answer is not correct you can try it with 42.8%
Answer:
Radius = 4.95 cm
Step-by-step explanation:
I am assuming you need the radius of the base of the cylinder.
Volume = 1.54 * 1000 = 1540 cm^3
Volume = πr^2h so:
1540 = π*r^2*20
r^2 = 1540/20 π = 24.510
r = 4.95 cm.
A= 3,3
B= -2,3
C=-1,-1
D=1,-3