Answer:
p > 4
Step-by-step explanation:
-2p < 4 - 12
Calculate^
-2 p < -8
Divide Both sides by -2^
And your answer is p > 4
Answer:
C) 3/5
Step-by-step explanation:
Have you heard of this way to memorize the trig ratios?
SOH-CAH-TOA (Say it out loud so you remember it.)
It represents these ratios:
Sine = opposite side / hypotenuse
Cosine = adjacent side / hypotenuse
Tangent = opposite side / adjacent side
In this problem, cos C = adj / hyp = BC / AC = 24 / 40.
That simplifies to 3/5
Simplifying
2x + -15 = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Reorder the terms:
-15 + 2x = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Solving
-15 + 2x = 35
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 2x = 35 + 15
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Combine like terms: -15 + 15 = 0
0 + 2x = 35 + 15
2x = 35 + 15
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Combine like terms: 35 + 15 = 50
2x = 50
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Divide each side by '2'.
x = 25
°.✩┈┈┈┈∘*┈┈୨♡୧┈┈*∘┈┈┈┈✩.°
Simplifying
x = 25
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second
The equation for a linear growth/decay is given by the form
where
is the rate of increase and
is the value of
when
We have
when
So the equation is 
The length of the radius when
seconds is
inches
