Pregunta
A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of
. What area of lawn receives water?
Ask by Nichols Morgan. in the United States
Jan 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The area of the lawn that receives water is approximately 1178.10 square feet.
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Como
The Deep Dive
To find the area of the lawn that receives water from the sprinkler, we can consider the sector formed by the sprinkler’s spray. The formula for the area of a sector is given by
, where
is the radius (or distance the water sprays) and
is the angle in radians.
First, convert the angle from degrees to radians:
Now, use the formula with
feet:
Thus, the area of lawn that receives water is approximately
(using
).
preguntas relacionadas

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium