Amount in the bank account = 1000(1 + 0.05)^5 = $1,276.28
Answer:
<h2>b) 3.48 N approx.</h2>
Step-by-step explanation:
<em>The bird will experience a centripetal force, this is the force exerted on a body that moves through a curve path.</em>
Fc=centripetal force
m=mass
v=velocity
r=radius
Step one:
given data
mass of bird m=0.3kg
the radius of curve r= 20m
velocity v= 15 m/s
Substituting we have
<u>The force is 3.37N</u>
Answer:
x=8
Step-by-step explanation:
2(x+4)=4x-8
2x+8=4x-8
2x+8-8=4x-8-8
2x=4x-16
2x-4x=4x-16-4x
-2x=-16
Divide by -2 on both sides
and get... X=8
Answer:
cos2∅= -0.557
tan2∅= --1.49
Step-by-step explanation:
Given:
cos∅=-8/17
By trigonometric ratios:
as cos∅=adjacent/hypotenuse
hypotenuse= 17
adjacent=-8
Now finding perpendicular using Pythagoras theorem:
c2=a2+b2
17^2=(-8)^2+b^2
289-64=b^2
b^2=225
b=±15
b=-15 as ∅ is in third quadrant so both the opposite and adjacent sides be in 3rd quadrant
tan∅=opposite/adjacent
tan∅=-15/-8
sin∅=-15/17
Now finding cos2∅
cos2∅= 1-2sin^2∅
=1 - 2(-15/17)^2
=1 -450/289
= -161/289
=-0.557
finding tan2∅
tan2∅= 2tan∅/1-tan^2∅
= 2(-15/-8) / 1-(-15/-8)^2
= (15/4) / 1-225/64
=(15/4) / (-161/64)
= -240/161
=-1.49 !
360 degrees is the whole circumference.
300 degrees is 300/360 of the circumference.
The circumference: pi*r*2 = 4*pi = approximately 12.566.
300/360*12.566=10.472 = answer
