A spotlight can be adjusted to effectively light a circular area of up to 7 meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)

Step-by-step explanation:

Use the circle area formula:

Substitute the value of the diameter and calculate:

Maximum number of  square meters is 38

Diameter of the spotlight is 7 meters

Radius=Diameter/2=7/2 meters=3.5 meters

Area of the circular spotlight is :---

π×(radius)² =22/7×3.5×3.5=38.5 meter²

The maximum number of square meters that can be effectively lit up by the spotlight is 38.5 square meters.

$20.01

step-by-step explanation:

the sale price is (1.00 - 0.77)($87), or 0.23($87), or $20.01.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680