You list the multiples of both numbers and see which number they share that is on each table
For example,
3,6,9,(12),15,18,21,(24)
4,8,(12),16,20,(24)
12 is the least common multiple of the numbers 3 and 4
You can use the vertical line test to determine if the graph is a function.
A function must: for every x value have only one y value.
Vertical line test: if you draw a bunch of vertical lines each line only touches the graph once.
So a circle would not be a function, or a horizontally facing parabola, etc... Remember, if you draw a vertical line "|" and it touches the graph more than once at any point then it is not a function.
Now take a look at the graph in the question.
In this graph if we do the vertical line test there are no place where a vertical line touches the graph twice so this graph is indeed a function.
This means your answer is C. Yes
It's scalene because it has different sides and obtuse because root 40²+30²=50
110>50
The area of a full circle is given by
A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
A = (π/4)*r^2
The area of a parallelogram is the product of base length and height:
A = bh
Your composite figure will have an area that is the sum of the areas of the parts.
A = (quarter circle area) + (parallelogram area)
A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
A ≈ 223.86 in^2 ≈ 224 in^2
The most appropriate selection is the last one,
224 in^2
Answer:
158.76 cm²
Step-by-step explanation:
Quadrilateral ABCD is composed of 2 right triangles
Construct the line BD, then
Δ ABD and Δ BCD are the 2 right triangles.
The area (A) of a triangle is calculated using
A =
bh ( b is the base and h the perpendicular height )
Δ ABD with b = 18 and h = 7.5
A =
× 18 × 7.5 = 9 × 7.5 = 67.5 cm²
Δ BCD with b = 15.6 and h = 11.7
A =
× 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²
Thus
area of ABCD = 67.5 + 91.26 = 158.76 cm²