Hope this helps! Arc CE should be 80.
answer:
yes, it is a right triangle
step-by-step explanation:
- remember: a triangle can only be a right triangle if it works with the pythagorean theorem
- therefore, we can plug in the numbers we have in the formula
- know the formula: a^2 + b^2 = c^2
- now, plug in
a^2 + b^2 = c^2
6^2 + 8^2 = 10^2
- the largest side is always the hypotenuse
- we have to see if both sides equal to the same value
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
- yes they are equal, therefore it is a right triangle
Answer:
12 liters
Step-by-step explanation:
Let the solution with 30% acid solution be x litres
And the solution of with 70% alcohol to be y liters
X = Volume of 30% solution in liters
Y = Volume of 70% solution in liters
For acid solution,
30/100 × x = 0.3x
For alcohol solution,
70/100 × y = 0.7y
Since we need 54% of the combination of the 2 solutions: 54/100 = 0.54
The combination of the 2 solutions must give us 54 solutions combination and that is:
0.3x + 0.7y = 0.54(x+y)___ equation 2
X+y = 20_____ equation 1
solve the system of equations and we have:
From equation 2, x +y = 20
Therefore x = 20 -y
Replace the above in equation 2
0.3(20 - y) + 0.7y = 0.54(20)
6 - 0.3y + 0.7y = 10.8
Collect like terms
0.4y = 4.8
Y = 12 liters and that means 12 liters of 70% alcohol solution
For this case we have that the volume of the cylinder is given by:
Where:
h: It is the height of the cylinder
A: It is the radius of the cylinder
We have to, according to the given data:
Substituting:
ANswer:
Option A