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The given shapes area is found to be 4 square yards.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.
Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards
Area of the triangle =
* base * height =
* 5 * 4 = 10 square yards.
The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.
Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.
Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.
Area of given shape = Area of the triangle - Area of the rectangle.
Area of given shape = 10 square yards - 6 square yards = 4 square yards.
Answer:
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 18
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given focus : (-3 ,0) ,directrix : x=6
Let P(x₁ , y₁) be the point on parabola
PM perpendicular to the the directrix L
SP² = PM²
(x₁ +3)²+(y₁-0)² = 
x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36
y₁² = -18 x₁ +36 -9
y₁² = -18 x₁ +27
The standard parabola
y² = -18 x +27
Length of Latus rectum = 4 a = 4 (18/4) = 18
The area of circle is πr2.
22/7×10×10
314.1(approx)
The area of left region=Area of circle-area of rectangle
Answer:
218 adults and 104 children attended.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=322 (1)
8.75x+6y=2531.50 (2), where:
x is the number of adults
y is the number of children
First, you can solve for x in (1):
x=322-y (3)
Then, you can replace (3) in (2) and solve for y:
8.75(322-y)+6y=2531.50
2817.5-8.75y+6y=2531.50
2817.5-2531.50=8.75y-6y
286=2.75y
y=286/2.75
y=104
Finally, you can replace the value of y in (3) to find x:
x=322-104
x=218
According to this, the answer is that 218 adults and 104 children attended.