As a decoration for a school dance, the student council creates a parabolic arch with balloons attached to it for students to walk
through as they enter the dance. the shape of the arch is modeled by the equation
y = x(5 – x), where x and y are measured in feet and
where the origin is at one end of the arch. can a student who is 6 feet 6 inches tall walk through the arch without ducking?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Consider the triangle. which shows the order of the angles from smallest to largest? angle a, angle b, angle c angle b, angle a, angle c angle b, angle c, angle a angle c, angle a, angle b

Mrs.sling bought a pound of green beans for $1.80. how much will mrs.tennison pay for 3 1/2 pounds of green beans?