Answer:
C. 2.25
Step-by-step explanation:
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write

Solving for y, we get

So the other two angles of the triangle are

and

The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
<h3>What is a function?</h3>
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
To get more about functions visit:
brainly.com/question/17043948
Answer:
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the width of the rectangle = (x+1) feet</em>
<em>Given that the length of the rectangle = ( x-6) feet</em>
<em>The area of the rectangle = 30 square feet</em>
<u><em>Step(ii):-</em></u>
We know that the area of the rectangle
= length ×width
30 = ( x+1)(x-6)
30 = x² - 6x + x -6
⇒ x² - 5 x - 6 = 30
⇒ x² - 5 x - 6 - 30 =0
⇒ x² - 5 x - 36 =0
x² - 9 x +4x - 36 =0
x (x-9) +4 ( x-9) =0
( x+4 ) ( x-9) =0
( x+4 ) =0 and ( x-9) =0
x =-4 and x =9
<u><em>Step(iii):-</em></u>
we have to choose x =9
The length of the rectangle (l) = x-6 = 9-6 =3
The width of the rectangle (W) = x+1 = 9 +1 = 10
<u><em>Final answer:-</em></u>
The length of the rectangle (l) = 3 feet
The width of the rectangle (W) = 10 feet
Attached is what you can do on excel.
Add the values as presented on the image. Select the values and then go t the menu "Insert" and look for "Charts" and then "Insert scatter chart". After this, select one of the dots from the graph and then press the right button of the mouse and select "add trendline". Now you have a trend line. Format the trendline selecting the option "Display Equation on chart" (and also if you want "Display R-squared value on chart"). Now you have the equation and you can easily predict the value when X is 15, you just need to substitute on the equation the X by the 15:
y = 4.0933Χ + 21.5 <=>
y = 82.8995<span>
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