Question

a cb radio station c is located 3 mi from the interstate highway h. the station has a range of 6.1 mi in all directions from the station. if the interstate is along a straight line, how many miles of highway are in the range of this staion?

Answer 1

the miles of reception would be the length of the chord as the highway cuts through the circle of reception.
I see a right-angled triangle, with a hypotenuse of 6.1 (radius of the circle) , a side of 3 (highway is 3 miles from station) and a third side of x
x^2 + 3^2 = 6.1^2
x = √28.21
= 5.311

so the length of the chord (miles of reception) is 2(5.311) or 10.62 miles.

Answer 2

A recipe calls for 3 3/4 cups of flour. How much flour is needed to make 1/2 the recipe?