Answer:
11m/min
Step-by-step explanation:
slope of the line = velocity of the turtle
slope = y/x
= 55/5
=11
Answer:
Step-by-step explanation:
Given
Let the roots be 
and 
So:
Required
Determine the relationship between d, c and p
Divide through by d
A quadratic equation has the form:
So:
So, we have:
-- (1)
and
-- (2)
Make the subject in (1)
Substitute in (2)
Multiply both sides by d
Cross Multiply
or
Hence, the relationship between d, c and p is:
Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
__
a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
__
b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
Katrice paid 46 dollars in total bc the free watermelon doesn't change a thing, just how many slices I would eat at the party. lol ;)
