Recall the following property of integrals: if f ( t ) ≥ g ( t ) for all t ≥ 0 , then for all x ≥ 0 , ∫ x 0 f ( t ) d t ≥ ∫ x 0 g ( t ) d t 4 the inequality e t ≥ 1 holds for t ≥ 0 because e > 1. use (4) to prove that e x ≥ 1 + x for x ≥ 0 then prove, by successive integration, the following inequalities (for x ≥ 0 ): e x ≥ 1 + x + 1 2 x 2 e x ≥ 1 + x + 1 2 x 2 + 1 6 x 3.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

8

step-by-step explanation: