Complete question :
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m
What is the length of the pillow?
Answer:
1.4 m
Step-by-step explanation:
The volume of wedge is given by:
V = Area of triangle * length
Area of triangle = 1/2 * base * height
Volume of wedge = 1/2 * base * height * length
Volume of wedge = 0.35m³
0.35 = 0.5 * 0.5 * 1 * length
0.35 = 0.25 * length
Length = 0.35 / 0.25
Length = 1.4 m
<h2>
Hello!</h2>
The answer is: 
<h2>
Why?</h2>
Domain and range of trigonometric functions are already calculated, so let's discard one by one in order to find the correct answer.
The range is where the function can exist in the vertical axis when we assign values to the variable.
First:
: Incorrect, it does include 0.4 since the cosine range goes from -1 to 1 (-1 ≤ y ≤ 1)
Second:
: Incorrect, it also does include 0.4 since the cotangent range goes from is all the real numbers.
Third:
: Correct, the cosecant function is all the real numbers without the numbers included between -1 and 1 (y≤-1 or y≥1).
Fourth:
: Incorrect, the sine function range is equal to the cosine function range (-1 ≤ y ≤ 1).
I attached a pic of the csc function graphic where you can verify the answer!
Have a nice day!
Answer:
Here's one way to do it
Step-by-step explanation:
Divide the hexagon into triangles, for example, as in the diagram below.
The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.
The sum of the interior angles of a triangle is 180°.
There are four triangles, so
Sum of interior angles = 4 × 180° = 720°
The profit is originally 250% to maintain this you need to multiply the new unit cost by 2.5.
New unit cost $1.25. * 2.5 = $3.12.5
The answer would be 167 I believe