Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Since it is a cube, all sides lengths are the same.
Surface area = 2lw+2lw+2hw
if you substitute all the sides for 13 you get
2(169) three times
so you multiply and get 338 three times so you do 338x3 which is 1014 cm
its messy to explain so i attached a photo
Answer:
(a) Reflection across the y-axis, followed by translation 10 units down
Step-by-step explanation:
Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.
Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.
Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.
Answer:
6/10 or 3/5
Step-by-step explanation:
4/5 = 8/10
8/10 - 2/10 = 6/10 or 3/5
