Answer:
the volume is 18 and the surface area is 46
Step-by-step explanation:
When we say that 2y is 2 times greater than y, this means that if we divide 2y by 2 we will get the y.
Similarly, to know the decimal that is less that 0.8 by 10 times, simply divide 0.8 by 10 as follows:
decimal = 0.8 / 10 = 0.08
This means that 0.8 is 10 times larger than 0.08
Mean- 6.22
Median- 5
Mode- 11 (appears 2 times)
Range- 14
LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
8 is the angle DHL with H the vertex