Abigail collected more, she collected 87.5 lb
they collected 107.5 pounds together
Okie doke. 1cm on the map equals 500 meters. The distance from the gate to the ferris wheel on the map is 2.5cm. To find the actual distance, multiply the length on the map by the distance per centimeter. 500 * 2.5 is 1,250. The actual distance is 1,250 meters.
Note: When it comes to problems like these, you must always multiply the distance on the map by the scale unit (in other words, the actual distance on how far it is per the smaller unit).
The left hand side of the equation is a difference of two squares and may be factored out as follows,
(x - 4)(x + 4) > 0
They may be individually taken as,
x - 4 > 0 ; x > 4
x + 4 > 0 ; x < -4
Thus, the answer to this item is letter A.
<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².
What is the area of the circle?
we know that
the area of a circle represent a sector of degrees
so by proportion
therefore
<u>the answer part 1) is</u>
The area of the circle is
<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?
we know that
the area of the circle is equal to
where
r is the radius of the circle
in this problem we have
<u>Find the area of the circle</u>
<u>Find the area of the sector</u>
we know that the area of the circle represent a sector of radians
by proportion
therefore
<u>the answer part 2) is</u>
the area of the sector is