Hi there!
We can begin by multiplying by its conjugate:
Simplify using the identity:
Take the square root of the expression:
Multiply again by the conjugate to get a SINGLE term in the denominator:
Simplify:
Use the above trig identity one more:
Cancel out sinA:
Split the fraction into two:
Recall:
Simplify:
Sum of all interior angles of a polygon
180( n - 2) where n = number of sides in the polygon
now, if n = 19, the polygon has 19 sides, then 180( 19 - 2)
Answer:
Step-by-step explanation:
If y = 2x + 1, then dy/dt = 2(dx/dt).
If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x. y = 81.
(a) if dx/dt = 3, find dy/dt when x = 4:
Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.
(b) if dy/dt = 2, find dx/dt when x = 40:
Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.
Answer:
C
Step-by-step explanation:
Given
V = lwh ( isolate w by dividing both sides by lh )
= w → C
Answer:
Step-by-step explanation:
One of the cars are blue. it can travel 31 1/2 miles on 1 1/4 gallons of gasoline. Converting 31 1/2 miles to decimal, it becomes 31.5 miles. Converting 1 1/4 gallons of gasoline to decimal, it becomes 1.25 gallons of gasoline.
Therefore, the miles per gallon for the blue car is
31.5/1.25 = 25.2 miles per gallon.
Another car is red it can travel 28 4/5 miles on 4/5 gallon of gasoline.
Converting 28 4/5 miles to decimal, it becomes 28.8 miles. Converting 4/5 gallons of gasoline to decimal, it becomes 0.8 gallons of gasoline.
Therefore, the miles per gallon for the red car is
28.8/0.8 = 36 miles per gallon.
