To find the perimeter, the equation is (w2 + l2 = p)
Where w is width and l is length and p is perimeter.
If you have the width, then you double it for both widths.
Then subtract that number from the perimeter.
150-60 = 90
90 is the remaining number for the lengths. Since both lengths needs to be equal, you split the 90. 45.
You length equals 45.
45(2) + 30(2) = Perimeter of 150.
Your answer is 45.
13.
(a)

for x = 2:

for x = 5

(b)
The graph is:
(c)
Using the graph:



Using the quadratic formula:
Answer:
Answers: 46, 23, and 111
Step-by-step explanation:
To answer, we need to know the angles. Therefore, give each angle a name. Angle 1 will be x, 2 will be y, 3 will be z. So, using this system of equations:
x=2y
z=y+88
x+y+z=180
Substituting, z = 1/2(x)+88, now plug z into the third equation:
x+1/2(x)+1/2(x)+88=180
this simplifies to 2x+88=180
subtracting 88 from both sides leaves 2x=92
x=46
plug this in to the first equation: 46 = 2y, so y = 23
plug this into the third one leaves z = 111
Hope this helps!
(a)

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :


(b) The series

converges by comparison to the convergent <em>p</em>-series,

(c) The series

converges absolutely, since

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.
Answer:
They will need 200kg of pine logs.
Gauge pressure in the tank = 24045.29 Pa
Absolute pressure= 125370.29Pa
Step-by-step explanation:
Full question:sp.gr=0.8.The fluid in the nanometer is ethyl iodide with sp.gr =1.93. The manometric fluid height is 50 inches. What is the gauge pressure and absolute pressure in the tank?
Converting 50inches to metres. Multiply by 0.0254
50×0.0254=1.27m
Gauge pressure in tank is given by:
P = pgh
Where p= density,g= acceleration due to gravity, h= height
P= 1.93× 1000× 9.81× 1.27= 24045.29Pa
Absolute pressure=Ptotal= Pliquid + Patm
Absolute pressure =24045.29 + 101325=125370.29pa