A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 2 feet at the center and a width of 8 feet
along the base. The contractor cuts a string of a certain length and nails
each end of the string at the foci of the base in order to sketch the outline
of the semiellipse.
4
a.) What is the total length of the string?
b.) How far from the center should the string be nailed into the base?

i dont know sorry

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b