Answer:
x=2
Step-by-step explanation:
11x+2=24
11x=22
22/11=2
x=2
Answer:
perimeter = 40
area = 46(unit)^2
Step-by-step explanation:
Perimeter - all sides added together
- Find unknown sides (8-3 = 5, 12-2 = 10)
- Add all sides together (8+2+5+10+3+12 = 40)
Area - Length multiplied by width
- Divide shape into two rectangles (#1 is 2x5 and #2 is 3x12)
- Find individual area (rectangle #1: 2*5 = 10 / rectangle #2: 3*12 = 36)
- Add areas together (10+36 = 46)
- Finish with unit squared (46___^2)
The height of an object can be represented as a function of time.
It takes the rocket 25 seconds to hit the ground
The height function is given as:

When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes

Rewrite as:

Divide both sides by 16t

Hence, it takes the rocket 25 seconds to hit the ground
Read more about height functions at:
brainly.com/question/22573423
Answer:
AD = 2.4
Step-by-step explanation:
All of the triangles in this figure are similar, so their corresponding sides have the same ratios.
The short side of ΔABD is 3/5 of the hypotenuse, which is 4.
AD/AB = CA/CB . . . . = short side/hypotenuse
AD = AB(CA/CB) = 4(3/5) = 2.4
The length of AD is 2.4 units.
_____
You can also go at this in terms of area.
A = 1/2bh = 1/2(3)(4) = 1/2(5)(AD) ⇒ AD = 12/5 = 2.4