Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
Answer:
I thing Kaleigh read 1.5 more than Austin
Step-by-step explanation:
For a regular 17-gon, the measure of the internal angles is:
a = 158.8°
<h3>
How to measure the internal angles?</h3>
The measure of the sum of the internal angles of a regular figure of N sides is:
(N - 2)*180°
For the case where N = 17, we have:
(17 - 2)*180° = 2,700°
That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:
2,700°/17 = 158.8°
If you want to learn more about angles, you can read:
brainly.com/question/17972372
Answer:
The value of Tan (a + b) is 
.
Step-by-step explanation:
Given as :
Tan b = 
Sin a = 
∵Sin Ф = 
So, =
Now, Base² = Hypotenuse² - Perpendicular²
Or, Base² = 13² - 12²
Or, Base² = 169 - 144
Or, Base² = 25
∴ Base = 
= 5
And Tan Ф = 
Or, Tan a = 
Now, Tan (a + b) = 
Or, Tan (a + b) = 
or, Tan (a + b) = 
or, Tan (a + b) =
Or, Tan (a + b) =
Hence The value of Tan (a + b) is . Answer
Answer:
The image shows the graph for given function.
Step-by-step explanation:
We are given the following information in the question:
It is clear function is an exponential function and have shape similar to exponential function.
An exponential function is of the form:
,
where b is a parameter of the function and read as b raised to the power x.
The exponential function enjoys the following properties:
- If 0 < b < 1, then the graph decreases as we move from left to right.
- If b > 1, then the graph will increase as we move from left to right.
