Answer:
NO SOLUTION
Step-by-step explanation:
The value of cosines is between -1 and 1
As a result, it will never goes to -12 no matter what
Answer:
Difference in volume between the two vinyl records = 3.872 in³
Step-by-step explanation:
Complete Question
2 Columbia records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. If the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.
Each of the vinyl records will be modeled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records:
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records:
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³.
Therefore, the difference in volume between the two vinyl records = 3.872 in³.
Have a nice day!
Answer:
The statements must be true are A , D , E
Step-by-step explanation:
* Lets explain the figure
- There is a triangle
- Its interior angles are x° , y° , z°
- The angle of measure w° is an exterior angle of the triangle at the
vertex whose measure is z°
- There a fact in the triangle is the measure of the exterior angle of a
triangle at one of its vertices is equal to the sum of the measures
of the two opposite interior angles to this vertex
∵ w° the measure of the exterior angle of the vertex whose measure
is z°
∵ x° , y° are the measures of the opposite interior angles of the angle
whose measure is z°
∴ w° = x° + y°
∴ w° > x°
∴ w° > y°
* Lets find the statements must be true
# w > x ⇒ A
# x + y = w ⇒ D
# w > y ⇒ E
Answer:
I think Darius I is the correct answer.
3y - y + 8 - 2 = 20
3y - y = 2y
8 - 2 = 6
2y + 6 = 20
2y = 20 - 6
y = 10 - 3
the answer is: y = 7
