Use the Pythagorean theorem:
The length of the hypotenuse is 6√2 units.
Answer:
10 sqrt(3)/3 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side /adj side
tan 30 = x/10
10 tan 30 =x
10 ( sqrt(3)/3) = x
10 sqrt(3)/3 =x
Answer:
1. The change per week is $40 as it is the coefficient.
2. The starting amount is $550 as it is the constant.
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.
