9514 1404 393
Answer:
445.10 feet
Step-by-step explanation:
The relation between angle of depression and distance to the boat is ...
Tan = Opposite/Adjacent
tan(angle of depression) = (200 ft)/(distance to boat)
Then the distance to the boat is ...
distance to boat = (200 ft)/tan(angle of depression)
__
We want the change in distance between the two angles, so ...
change in distance = (200 ft)/tan(17°31') -(200 ft)/tan(46°41')
= (200 ft)(cot(17°31') -cot(46°41'))
change in distance ≈ 445.10 ft
Answer:
$0.80
Step-by-step explanation:
If the 100 pounds was bought separately (of course in real life you will probably not)
= 100 pounds x $0.0825/pound
= $8.25
As you can see it will cost more than if you buy a 100 pound sack.
Cost Difference = $8.25 - $7.45 = $0.80
That means you will save $0.80 from it.
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is

. Set the derivative equal to 0 and factor to find the critical numbers.

, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.
Answer:
The first and third options are parallel.
Step-by-step explanation:
They both have a slope of 2.
Pls mark brainliest. Thanks!
Answer:
(5, 15)
Step-by-step explanation:
-x + 6x = 5
5x = 5
x = 5
y = 3 (5)
y = 15
You can substitute 6x for 2y because it says y = 3x. So 2y is gonna be 6x because you have to multiply it by 2 since it's 2y not just y.