18 : 3 = 6 : 1
Solution:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 18 and 3 is 3
Divide both terms by the GCF, 3:
18 ÷ 3 = 6
3 ÷ 3 = 1
The ratio 18 : 3 can be reduced to lowest terms by dividing both terms by the GCF = 3 :
18 : 3 = 6 : 1
Therefore:
18 : 3 = 6 : 1
Answer:
The nail would be 30 feet above the ground in 10 years.
Step-by-step explanation:
We are given the following in the question:
Height of nail = 10 feet.
The tree grows taller at a rate of 2 feet per year.
Thus, the height of nail can be represented by a linear function:
where t is the number of years.
We have to find the height of nail in 10 years.
Putting t = 10, we get,
Thus, the nail would be 30 feet above the ground in 10 years.
Answer:
Cosθ= -√2/3
Sinθ= -√7/3
tanβ= 4/3
Sinβ= 4/5
Cosβ= 3/5
sin(θ+β) = sin(θ)cos(β)+cos(θ)sin(β)
(-√7/3)(3/5) + (-√2/3)(4/5)
-√7/5 - 4√2/15
Answer:
a. (5x+75)°
b. x = 21
c. X° = 21° and (4x+75)°= 159°
Step-by-step explanation:
A. Combine like integers.
B. (5x+75)°=180° Because they are suplementary angles.
5x°= 105°
5x ÷5 = 105 ÷ 5
x = 21
C. (4x + 75)°
4(21) + 75
84 + 75 = 159°
