an arch in the shape of a semicircle is to be set up at the entrance of a festival the distance around the arch is about 110 ft what is the height of the arch in feet round your answer to the nearest whole number

35

Step-by-step explanation:

circumference is pi x diameter since this is a semi circle you then divide it by 2

so if you work backwards 110x2 = 220 divided by pi

then you get the diameter and divide it by 2 to find the radius

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.