Answer:
16 square units
Step-by-step explanation:
→ Find the area of the whole triangle
0.5 × ( 5 + 4 ) × 8 = 36
→ Find the area of the small triangle
0.5 × 5 × 8 = 20
→ Minus the area's of the triangles
36 - 20 = 16 square units
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC =
= 5,09902
BD =
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999
Answer:
25
Step-by-step explanation:
The daughter is ten which means the wife is 30 (10*3) and the man is 5 years older than the wife (30+5). The man is 35 and the daughter is ten, so subtract ten years from the man (35-10) which means the man is 25 years old