Answer:
x=2/3+1/3
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−4x−2=0
For this equation: a=3, b=-4, c=-2
3x2+−4x+−2=0
Step 1: Use quadratic formula with a=3, b=-4, c=-2.
Answer:
Answer below
Step-by-step explanation:
3x+7 + 3x+6 + 3x = 3x + 3x +4x+2
x= 11
Given:
Consider the below figure attached with this equation.
To find:
Length of side ZX.
Solution:
From the figure it is clear that, WXY is a right angled triangle.
According the 30°-60°-90° theorem, the longer leg (opposite to 60° angle) of the right-angled triangle is
times of shorter leg (opposite to 30° angle).
In the below figure, WY is longer leg and XY is shorter leg.



So, the length of XY is 8 units.
VWYZ is a rectangle, so

Now,



So, the length of ZX is 18 units.
Therefore, the correct option is C.
Answer:
970m^{2}
Step-by-step explanation:
This polygon can be divided in two figures: one is a triangle, an the other one is a square.
We'll begin calculating the triangle's area, using the following formula:

Where:


As you can see, I added both sides of the triangle that measure 9 m and also the lenght of the square that measures 20 m! This added up is what the base of the triangle measures on total.



Now we are going to calculate the square's area, that is much more simple:

Where:


To know the whole figure's area, we add up both areas:

Answer
2890
Step-by-step explanation:
2,890 meters^2 is grass
Step-by-step explanation:
First find the area of the garden
Area of a rectangle can be found using:
a=lw
a=85*50
a=4,250 meters^2
We know that 32% of the area is flowers, so we can multiply 32% and 4250
32%*4250
Convert 32% to a decimal by dividing by 100
32%/100=0.32
0.32*4250=1360
So, 1360 meters^2 is flowers.
The rest must be grass, so we can find the difference between the total area and the flowers
4250-1360=2890