Answer:
19.37.
Step-by-step explanation:
Integrating the function we get
x^4/4 - 5x^3/3 + x^2 + 8x
Area under the curve from x = -1 to x = 0
= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8
= 5.083
In a similar way we calculate area from 0 to 2
this = 10.667.
Total = 15.75.
Now we subtract 12.13 to get the area from x = 2 to x =p.
= 15.75 - 12.13 = 3.62
So total shaded area = 15.75 + 3.62
= 19.37.
Answer: f(x)= 2x+3
Step-by-step explanation: f(x)=(x-1)2+5
2x-2+5
F(x)=2x+3
Here, we know 1/2 = 0.50
So, the difference between 0.50 & 0.26 is 0.24
And difference between 0 and 0.26 is 0.26
1 is very apart from 0.26 as compared to other two
So, It is closer to 1/2
Hope this helps!
Answer:
<u>The correct answer is C. 6, 8 and 9 inches.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering the questions properly:
Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.
Scale used : 1 inch = 2 feet.
2. How long should the sides of the triangle be in inches?
For calculating the length of the sides of the triangle in the draw, we use the scale this way:
1st Side = 12 feet
12 feet/2 = 6 inches
2nd Side = 16 feet
16 feet/2 = 8 inches
3rd Side = 18 feet
18 feet/2 = 9 inches
<u>The correct answer is C. 6, 8 and 9 </u>
Answer:
A) √3
Step-by-step explanation:
The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.
So, we have to find them.
The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.
That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.
Dividing those two gives us (2√3)/2, which can be simplified to √3.
