Answer:
They must meet at least three requirements like those in the explanation.
Step-by-step explanation:
-The other angles are also corresponding for example: B is congruent to E and C to F.
-
Its sides are proportional to each other
-These two triangles can have the same shape no matter what size each one is
28 in^2
Divide shape into one rectangle and two squares:
Area of rectangle:
10 x 2 = 20 in^2
Area of one square:
2 x 2 = 4 in^2
Multiply that by 2 because we have 2 squares similar in size:
4 in^2 x 2 = 8 in^2
Add the area of the rectangle and two squares:
20 in^2 + 8 in^2 = 28 in^2
Have a nice day
Hope this helps!
Length = 6x - 12
Width = x
Area of a rectangle:
A = length x width
3744 = (x)(6x - 12)
3744 = 6x^2 - 12x
6x^2 - 12x - 3744 = 0
Use the quadratic equation to solve for x. The two solutions end up being 26 and -24. Since length is a scalar measurement, it can only be positive. Thus, the value of x is equal to 26 inches.
Width = 26 inches
Length = 6(26) - 12 = 144 inches
Hope this helps!! :)
Answer:
The inequality that represents the age of the group, "x", is: 
Step-by-step explanation:
To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:
While the second data from the problem states that none of than is older than 54 years old, this implies that they can be at most that old, therefore the inequality that represents this is:
In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:
Answer:
- r(0) = <0, 100> . . . . . . . .meters
- r'(0) = <7.071, 7.071> . . . . meters per second
Step-by-step explanation:
<u>Initial Position</u>
The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...
r(0) = <0, 100>
<u>Initial Velocity</u>
The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...
r'(0) = <10·cos(π/4), 10·sin(π/4)>
r'(0) ≈ <7.071, 7.071>
