<h2>9 ft</h2>
Step-by-step explanation:
The height of kangaroo after it jumps is represented by the function 
, where 
is in seconds, height is in feet.
To find the maximum height that the kangaroo jumps, we need to maximise 
.
The minimum/maximum value of a quadratic expression 
is given by 
.
As the coeffecient of quadratic term is negative, the function has a maxima.
Maximum value = 
.
∴ Maximum height = 9 ft
Answer:
cos 2 x=1-sin^2 x
Step-by-step explanation:
x=-135°
cos 2x=cos (-270)=cos (-270+360)=cos 90=0
or cos 2x=1-2sin ²x=1-2(sin (-135))²
=1-2(-sin 135)²
=1-2(sin 135)²
=1-2(sin (180-45))²
=1-2(sin²45)
=1-2 (\frac{1}{\sqrt{2}})²
=1-1
=0
The thing about that problem is that when the circle is inscribed inside that triangle, the side measures created are doubled. By that I mean that the 9 on the top right is also the measure of the top left. Same thing for the 13 and the 16. The lower left unmarked side length is 13, the lower right side length is 16. Now add it all up: 9+9+13+13+16+16
Mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.
Answer:
The cost of the rides are 3 tickets
And 1 ticket per game
The ride and game cost 3 tickets and 1 ticket for each respectively.
Step-by-step explanation:
Step 1 of 5
Let <em>a</em> be the number of tickets per ride costs. And <em>b</em> be the number of tickets per game costs.Thus from the given, we get the equations. For Scott, <em>5a+4b=19</em> For Isaac, <em>7a+2b=23</em>
Step 2 of 5
Multiplying the equation 2 by 2, we get <em>5a+4b=19→1</em> <em>14a+4b=46→2</em>
<em>Step 3 of 5</em>
<em>By subtracting both the equations, we get </em>
<em>(−)5a+4b=1914a+4b=46 </em>
<em>_____________ </em>
<em>−9a =−27 </em>
<em> a=−27−9⇒a=3</em>
Step 4 of 5
<em>Substituting the above value in the equation 1, we get5(3)+4b=1915+4b=194b=19−154b=4b=44⇒b=1</em>
<em>Step 5 of 5 </em>
<em>The solution is (3,1).The cost of the rides is 3 tickets per ride.The cost of the games is 1 ticket per game.</em>
<em>sorry its really confusing this how I was taught tho. </em>
