In the 30-60-90 triangle below, side s has a length of and the hypotenuse has a length of

Option A and C are correct

The hypotenuse is twice as long as length as the shorter leg.

The longer leg is times as long as the shorter leg.

Step-by-step explanation:

Definition:

A 30-60-90 triangle is commonly a right angle triangle whose sides are in proportion  

then;

the length of hypotenuse is twice the length of the shorter leg and the length of the longer leg is times the length of the shorter leg.

As per the statement:

We have to find the statements that are true about a 30-60-90 triangle.

By definition of  30-60-90 triangle;

Length of hypotenuse is twice the length of the shorter leg

and

Length of the longer leg is times the length of the shorter leg.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

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 ☺