On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2). The functio
2 answers:
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The area of the shaded region is option first is correct.
It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.
It is required to find the shaded area (missing data is attached shown in the picture).
<h3>What is a circle?</h3>It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a hexagon with a side length of 10 feet.
We know the area of the hexagon is given by:
where a is the side length.
⇒
We have the shortest length = x feet and from the figure:
2x = 10
x = 5 feet
The radius of the circle r = longer leg
feet
The area of the circle a = ⇒
The area of the shaded region = A - a
Thus, the area of the shaded region is
Learn more about circle here:
Answer:
There are 240 lilies in the flower shop.
Step-by-step explanation:
The ratio of number of roses to number of lilies = 3:5
Let the number of roses be represented by x, and the number of lilies be represented by y.
Given that: of x and
of y are white.
Thus;
of x = 24
= 24
x = 6 x 24
= 144
There are 144 roses in the shop.
The ratio of number of roses to number of lilies = 3:5
So that, = 48
y = 48 x 5 = 240
The number of lilies in the shop = 240
The ratio of number of roses to number of lilies = 144:240
= 3:5