Katrina lives on the corner of maple and first. her school is on the corner of oak and second. the distance on first from maple to oak is 300 ft. if she uses a calculated angle of 30° to walk a diagonal route through the park instead of the streets, how much shorter is her walk to school? round your answer to the nearest hundredth.

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.