The riverwalk in san antonio, texas has several arched pedestrian bridges that cross the san antonio river. these arches are the arcs of circles. the distance across the river at this bridge is 150 feet, and the height in the center of the arch, above the water is 30 feet. determine the radius of the circle. note that the diameter of the circle is not 150 feet.

radius = 108.75 feet

Hi!

In the drawing you can see the arch that goes from point A to B. The right line from A to B is the length L = 150 feet, across the river. The height is h = 30 feet.

There is a right triangle with hypotenuse R, and the legs are (R-h), and L/2. The Pythagorean theorem says that:

Then:

Plugging the values of L and h, you get R = 108.75 feet

your answer is a

step-by-step explanation:

plzplzplzplzplz mark brainliest i need it.

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 ☺