Answer:
12
Step-by-step explanation:
A rhombus is a parallelogram with all four sides equal.
Its diagonals are perpendicular.
Each of the triangles formed by the diagonals and the sides are congruent, so the area of the rhombus is 4 times the area of one of the triangles.
Since the short diagonal is given as 4, each of the triangles can be viewed as having a base of 2. Each triangle's height, h, then is one half the length of the long diagonal.
The are of one of the triangles is 1/2 (base)(height)=(1/2)(2)h
The area of the rhombus is then
4(1/2)(2)h=24
Solving for h gives
h=6
This makes the length of the long diagonal 2h=12
Answer:
Here you go ! Hope it helps.
Answer:
The graph increases
Step-by-step explanation:
Answer:
PerimeterFigure= pi*DIameter/2= 1.5*pi ft.
Step-by-step explanation:
The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.
Perimeter= 2pi*R= pi*Diameter.
Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.
PerimeterFigure= pi*DIameter/2= 1.5*pi ft.
Y = mx + b. This linear graph passes through A(0,50) and B(10,51)
m = (y₂-y₁)/(x₂-x₁)
m= (51-50)/10-0)
m=(1)(10)
y = (1/x) + b. To find b, you plugin the coordinates of either A or B,
say A(0,50):
50 = (1/10).(0) + b
50 = 0+b and b= 51
Hence the equation is y =0.1x + 50
