Answer:
12
Step-by-step explanation:
(25-16) / h = h / 16
9/h = h/16
=144 ( 9 x 16)
h₂ = 144
h= square root 144
h= 12
Answer:
5 oil changes.
Step-by-step explanation:
60 = 12x + 15y
60 = 12x + 15(0)
60 = 12x + 0
60
---- = x
12
5 = x
Original coordinates of the points:
A (8,15) ; B (12,13) ; C (8,10)
Dilated scale factor of 3.
A ⇒ 3x = 3(8) = 24 ; 3y = 3(15) = 45 ⇒ A' (24,45)
B ⇒ 3x = 3(12) = 36 ; 3y = 3(13) = 39 ⇒ B' (36, 39)
C ⇒ 3x = 3(8) = 24 ; 3y = 3(10) = 30 ⇒ C' (24, 30)
The given image forms a right triangle. So, I'll get the short leg and long leg of the right triangle to solve for the hypotenuse, length of CB.
Short leg: y value of B and C
39 - 30 = 9
Long leg: x value of B and C
36 - 24 = 12
a² + b² = c²
9² + 12² = c²
81 + 144 = c²
225 = c²
√225 = √c²
15 = c
The length of CB is 15 units.
84 is a composite number. 84 = 1 x 84, 2 x 42, 3 x 28, 4 x 21, 6 x 14, or 7 x 12.
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
