Answer:
A
Step-by-step explanation:
Let
x = the number of phone available
If it would require 8 more phones, then the total number of phones will be x + 8.
A company hired an additional 12 employees, and every employee needed a phone, then
x + 8 = 12
x = 4
This means 4 phones were available (and 8 more needed to total in 12 phones for 12 new employees)
Hence, correct option is option A.
Answer:
115.48
Step-by-step explanation:
This shape can be split into two distinct shapes
Two halves of a semi circle, and a rectangle in between
Circle:
Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).
The area of a circle is A = π
The radius, r, is half of the diameter, so 7 / 2 = 3.5m
A = π
A = π *
A = 38.38
Rectangle:
The area of a rectangle is A = h b
The height, h, is known at 7m
The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m
Removing the radius from the total length given
18 - 3.5 - 3.5 = 11m
The base is 11m
A = h b
A = 7 * 11 = 77
Total Area = Circle area + Rectangle area
Total Area = 38.38 + 77 = 115.48
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
A
Step-by-step explanation:
you can notice that at step 2 9 is added on both sides that is the addition property of equality
You start by cross multiplying.
4 x 12 = 48
Therefore, the value of 4/6 is equal to 48.
You do the same on the other side.
6 x 9 = 54
Therefore, the value of 9/12 is equal to 54.
No. 9/12 is greater than 4/6.