13)
let assume # denotes angle signs
now
as sum of 3 angels in triangle is 180
#2 +#3 +#4 = 180
also
#1 + #4 = 180
so equating both equation
#2 +#3 + #4 = #1 + #4
#4 will be cancelled from both side then
#2 + #3 = #1
proved
14)
ratio is 1:3:5
so Alma adsed it wrong. it should be 9x in 2nd line.
correction
x + 3x + 5x = 180
9x = 180
x = 180/9 = 20
so 1st angle = x = 20
2nd angle = 3x = 3×20=60
3rd angel = 5x = 5×20 = 100
Answer:
element remained after 14 minutes = = 7.091 g =~ 10 g
Step-by-step explanation:
After every minute the amount remained will be
(100 - 26.9 ) % i.e. 73.1 %
which is 0.731 times as much as the amount was at the start.
if the number of minutes passed is represented by t the function f(t) represents the mass of element remaining our equation will be
f(t) = 570( 0.731) ^ t
t= 14 minutes
f(14) = 570 ( 0.731) ^ 14
= 7.091 g =~ 10 g
Answer:
3/4 is 75/100 or 0.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
Start: 10 gallons
Loss: 1.75 per hour --> -1.75 gallons
After two hours 10+2(-1.75)=10-3.5=6.5 gallons left
After t hours 10+t(-1.75)=10-1.75t gallons left