Mathematics, 23.11.2019 08:31 Makiyahlfton2129

Ineed work shown. i can't figure these out

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Answer from: nina288

9). The river is 80 meters wide. That is, the distance from shore to shore as measured straight across the river is 80 meters. The time to cross this 80 meters wide river can be determined by rearranging and substituting into the average speed equation.

Time = distance/(ave.speed)

The distance of the 80 m can be substituted into the numerator; but what about the denominator. What value should be used for average speed?

time = (80 m)/(4 m/s) = 20 s it requires 20 s for the boat to travel across the river. During this 20 s the boat also drifts downstream.

What distance downstream?

distance = ave.speed * time = (3 m/s) * (20 s)
distance = 60 m The boat is carried 60 meters downstream during 20 seconds it takes to cross the river.

Resultant Velocity can be performed using the Pythagorean Theorem.

10).

Answer from: Quest

assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation:

Answer from: Quest

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

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