Water leaks from a tank at the rate of r(t) gallons per hour. the rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. the total amount of water that leaked out is evaluated by a riemann sum. find the upper estimate (left end-points of each rectangle) for the total amount of water that leaked out by using five rectangles.

give your answer with one decimal place.

t (hr) 0 2 4 6 8 10
r(t) (gal/hr) 8.7 7.6 6.8 6.2 5.7 5.3

i believe it's 70.0 because 10-0/5=2 and 2*(8.7+7.6+6.8+6.2+5.7). is this correct or is it 8-0/5 and then the rest?

Answer with explanation:

The rate of leak of water from a tank per hour is shown:

t (hr)             0      2       4        6810

r(t) (gal/hr)8.7   7.6   6.8     6.2     5.75.3

Total amount of water that leaked out by using five rectangles is given as:

where f(x) is the curve ,which shows the rate at which water is leaking out from the rectangle.It is continuously decreasing function.

Total amount of water leaked in 2 hours =r(t) (gal/hr)* t (hr)

=(8.7+7.6+6.8+6.2+5.7)×2

= 35*2

=70 liter

So, it's 70.0 because 10-0/5=2 and 2*(8.7+7.6+6.8+6.2+5.7)=70 , is correct for five rectangles.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

3

step-by-step explanation: