<span>1. </span><span>Fiona drives 60 miles per hour on
the Highway
And drives 30 miles per hour on the City.
She got a total of 312 hours in the highway and 112 hours in the city
Find the average speed of Fiona:
Formula of Speed
=> S = d / t
Let H be the distance in Highways
and Let C be the distance in City
=> H = 60 x 312
=> H = 18 720
=> C = 30 x 112
=> C = 3360
=> Total distance = 18 720 + 3 360
=> 22 080 miles
Let’s find the total time
=> H + C
=> 312 + 112
=> 424 hours
Speed = 22 080 / 424
S = 52.1 miles per hour
</span>
Answer:
2800 in^3
Step-by-step explanation:
Calculate the volume as normal, but take 1/10 of the result. Since volume is length*width*height, we have 50*28*20 which is 28000. 1/10 of that is 2800. So the volume when scaled down by a factor of 1/10 is 2800 in^3
Answer:
a
Step-by-step explanation:
+2 is the factor for the vertical translation hence it moves 2 units up
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
<em> sin ( A + B) = sin A cos B + cos A sin B </em>
<em> sin 2 A = 2 sin A cos B</em>
<em> Cos 2 A = 1 - 2 sin² A </em>
<em> cos ² A - sin ² A = 1</em>
<u><em>Step(ii):</em></u>-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
<u><em>Final answer</em></u> :-
sin 3 θ = 3 sin θ - 4 sin³θ
<h2>The distance between two points is

or 9.9 units</h2>
<em><u>Solution:</u></em>
<em><u>The distance between two points is given as:</u></em>

From given,

<em><u>Substituting the values we get,</u></em>

Thus the distance between two points is
or 9.9 units