Answer:
B. 2340
Step-by-step explanation:
Interior angles of a polygon is given by
(n – 2)180 where n is the number of sides
(15-2) *180
13*180
2340
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:
(1/4 m)* (2/3 m)* (3/5 m)
= (1*2*3)/ (4*3*5) m^(3)
= 6/ 60 m^(3)
= 1/10 m^(3)
= 0.1 m^(3)
The volume of the box-shaped fish trap is 0.1 m^(3).
Hope this is helpful~
A unit rate is just how much it costs per ONE unit of whatever your measuring. Lets say you had a rate of $4.00/8lbs. The unit rate would be $0.50/ ONE lb.
Multiply the volume by 3.
Multiply the height by π, which is a numeric constant that begins 3.14 and never terminates.
<span>Divide the tripled volume by the product of the height and π.
</span><span>Find the square root of the result from the 3rd step
</span>
hope this helped:)
