Answer:
area ≈ 344. 93 yard²
Step-by-step explanation:
The question you are asking is a circle with shaded portion and a portion not shaded . The radius of the circle is given as 13 yards . H is the center of the circle and unshaded part of the the sector has an angle of 126°.
The area of a sector = ∅/360 × πr²
The other angle of the shaded portion is unknown . To find the angle we subtract 126° from 360°(complete angle).
360 - 126 = 234°
area of a sector = ∅/360 × πr²
where
∅ = 234°
r = 13 yards
area = 234/360 × π × 13²
area = 234/360 × π × 169
area = 39546π/360
area = 109.85π
area = 109.85 × 3.14
area of the shaded part = 344.929 yard²
nearest hundred will be
area ≈ 344. 93 yard²
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Ok but allow my humble self to use 
instead of 
.
We have,
If you wanna know what the inverse is swap the values of x and y,
And now solve for y,
.
Hope this helps.
Answer:
1. the translation from the original to the translated figure was 2 units up and 1 unit to the left
2. the points of the translated figure if it were translated 2 units down and 3 units to the right would be: A' (4,0), B' (6,-6), C' (5,3), D' (-1,0)
Step-by-step explanation:
Answer: Volume = 3818.2 cubic feet
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Diameter = 16 feet
Radius = diameter/2 = 16/2
Radius = 8 feet
Height = 19 feet
Therefore,
Volume = 3.14 × 8² × 19
Volume = 3.14 × 64 × 19
Volume = 3818.2 cubic feet rounded to the nearest tenth
