Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35
4+2x = x (x = student in smaller group)
4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group
4 + 2(8) = 20 students in the larger group
Multiply the first bracket by -2
Multiply the second bracket by 2
x-3-12+4x= 4x-10
- negative number times + positive number= - negative number
- negative number times -negative number = + positive number
x+ 4x-3-12= 4x-10
5x-15= 4x-10
Move 4x to the other side
5x-4x-15= 4x-4x-10
x-15= -10
Move -15 to the other side
x-15+15= -10+15
x= 5
Answer : x= 5
Answer:
see explanation
Step-by-step explanation:
Multiply both sides by 9 to eliminate the fraction
9K = 5(F + 459.67) ← divide both sides by 5
F + 459.67 = 
K ( subtract 459.67 from both sides )
F = K - 459.67
Answer:
(a) Because it is an exterior angle
(b) The measure of angle 2 is 72°
Step-by-step explanation:
Angle 2 is an exterior angle because it is adjacent to the interior angle 1, and an exterior angle is equal to the sum of the measures of the two nonadjacent interior angles:
<2=30°+42°
<2=72°
