Answer:
C) 6 feet
Step-by-step explanation:
set up a proportion of height/shadow = height/shadow
30/10 = h/2
cross-multiply:
10h = 60
h = 6
Answer:
Step-by-step explanation:
Use the slope formula:

where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:


Answer:
Step-by-step explanation:
1. a). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 10² + 24²
h = √676
h = 26
(b). Hypotenuse² = (Leg 1)² + (Leg 2)²
(25)² = (15)² + (leg 2)²
Leg 2 = √(625 - 225)
= √400
= 20
(c). Hypotenuse² = (Leg 1)² + (Leg 2)²
h² = 4² + 6²
h = √(16 + 36)
h = √52
h = 2√13
(d). Hypotenuse² = (Leg 1)² + (Leg 2)²
(14)² = (Leg 1)² + 7²
Leg 1 = √(196 - 49)
= √147
= 7√3
2). Hypotenuse² = (Leg 1)² + (Leg 2)²
Leg 1 = leg 2 = 7 units [Since, triangle is an isosceles triangle]
h² = 7² + 7²
h = √98
h = 7√2
Option (1) is the correct option.
3). Hypotenuse² = (Leg 1)² + (Leg 2)²
(26)² = (Leg 1)² + (10)²
Leg 1 = √(676 - 100) = 24
Area of a right triangle = 
= 
= 120 square units
Option (3) is the correct option.
Answer:
5,400
Step-by-step explanation:
225 / 2 = 112.5
112.5 x 2 = 225
225 x 20 = 5,400
Answer:
14!/3!
Step-by-step explanation:
The order matters so it's a Permutation.
14!/3!