Tangent ratio is the opposite side/adjacent side.
In relation to Angle A: The opposite side has a length of 2 and the adjacent side has a length of 3.
Tan A = 2/3
Answer:
The answer to your question is a = 16
Step-by-step explanation:
Polynomial
(y - 4) (y² + 4y + 16)
Process
1.- Multiply y by each term of the polynomial
y(y² + 4y + 16) = y³ + 4y² + 16y
2.- Multiply -4 by each term of the polynomial
-4(y² + 4y + 16) = -4y² - 16y - 64
3.- Write both results
y³ + 4y² + 16y - 4y² - 16y - 64
In bold we notice that a = 16
To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2<span>πr^2.
Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
</span>A=2π(4)(20)+2π(4)^2.
<span>Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.
</span>
Answer:
3
Step-by-step explanation:
Answer:
153/20
Step-by-step explanation:
We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.
We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.
Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.
