Landon used a semicircle, a rectangle, and a right triangle, to form a figure below. which is the best estimate of he area of the figure in square centimeters?

answer:

43

step-by-step explanation:

estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles

first we find out the width of the rectangle

δx=b−a/n,   a= 0 and b= 3, n= 3

so δx= 1

divide the interval [0,3] into   3 sub intervals of width=1

[0,1]     [1,2]     [2,3]

now we plug in end point and evaluate the function

we take left endpoints

f(0) = 16 - 0^2=16

f(1) = 16 - 1^2= 15

f(2) = 16 - 2^2= 12

now sum = δx(f(0) + f(1)+f(2))

= 1 (16+15+12)= 43

answer:

7+8= 15

hope this

calculate the amount 1 man can eat per day from the known amounts:

200 kg /   40 days = 5 kg of wheat per day / 20 men = 0.25 kg per man per day.

now calculate the time it will take 10 men:

10 men x 0.25 kg per day = 2.5 kg per day.

300 kg / 2.5 kg per day = 120 days

answer:

hypotenuse = 42.5

step-by-step explanation:

let the longer leg be x then the hypotenuse is x + 5 ( 5 more than longer leg )

using pythagoras' identity, then

(x + 5)² = 20² + x² ← expand left side

x² + 10x + 25 = 400 + x² ( subtract x² from both sides )

10x + 25 = 400 ( subtract 25 from both sides )

10x = 375 ( divide both sides by 10 )

x = 37.5 ← longer leg, thus

hypotenuse = 37.5 + 5 = 42.5