Answer:
See below.
Step-by-step explanation:
5y - 2y + 4 = 10
5y - 2y = 6
3y = 6
y = 2
Check:
5y - 2y + 4 = 10
5(2) - 2(2) + 4 = 10
10 - 4 + 4 = 10
6 + 4 = 10
10 = 10
The value of y = 2
Volume of the cylinder = hr²π
diameter = 2 × radius
16 = 2 × r
r = 16/2
r = 8 mm
V = hr²π
V = 12 × 8² × π
V = 12 × 64 × π
V = 768π mm³
The answer to the above question can be explained as under -
We know that, the sum of angles of triangle is 180°.
So, vertex angle plus base angles are equal are equal to 180°.
Let the vertex angle be represented by "v" and base angles be represented by "b".
Thus, v + b + b = 180°
So, v + 2b = 180°
Next, the question says, the vertex angle is 20° less than the sum of base angles.
Thus, 2b - 20° = v
<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>
subtract 5 from both sides. -1.6r=-5 divide both sides by-1.6. r=-5/-1.6 simp;ify-5/1.6 to 3.125. r =3.125
