Firstly, we will draw figure
now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle
because of opposite sides of rectangle ABMD are congruent
so,
DM=AB=9
CM=CD-DM
CM=18-9
CM=9
now, we can find BM by using Pythagoras theorem
now, we can plug values
we get
now, we can find area of trapezium
now, we can plug values
and we get
so, area of of the trapezoid is 
..........Answer
For the unit rate, you are looking for how much one unit of something costs. Looking at the table, you'll see that 3 bottles of fragrance A costs $78. What you want to figure out is how much one bottle costs.
You can do this by taking the price and dividing it by how many there are.
78 ÷ 3 = $26
156 ÷ 6 = $26
234 ÷ 9 = $26
You can see that each bottle of fragrance A costs $26.
Now looking at the graph, you'll see that the line only lines up perfectly at 2 points: (1, 24) and (2, 48). This tells us that for each bottle of fragrance B, it costs $24.
Comparing the two, fragrance A will have the greatest unit rate.
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
- Let H be our altitude and B our base and A the area of the triangle
- A= (B*H)/2 ⇒ 15=(B*H)/2
- H is 1cm shorter than B ⇒ B=H+1
- H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0
that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
- a=1
- b=1
- c= -30
- Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
- Δ≥0⇔ that we have two solutions x and y
- x= (-1-
)/2= (-1-11)/2= -6 - y= (-1+)/2= 10/2 = 5
We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
4¹/₃x = ⁵/₁₂x - 6
3¹¹/₁₂x = -6
x = -1²⁵/₄₇
Answer:
Option 4
Step-by-step explanation:
It's a geometric progression.
After t years,
500(1.1^t)
After 6 years,
500(1.1⁶) = 885.7805
