Answer:
válla si son brutos está bien fácil esa pregunta lo que pasa es que estoy haciendo mi trabajo
By using what we know about right triangles, we will see that the hobbits are at 744.39 meters from the Dark Tower.
<h3>
How far are the hobbits from the Dark Tower?</h3>
We can think of this situation as in a right triangle, where the catheti are the height of the tower and the distance between the hobbits and the Dark Tower.
Then we can use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Where θ = 28°
The adjacent cathetus to this angle is the height of the tower, then:
Adjacent cathetus = 1,400 m
And the opposite cathetus is the distance that we want to find, let's call it D.
Tan(28°) = D/1,400m
Solving for D we get:
Tan(28°)*1,400m = D = 744.39m
The hobbits are at 744.39 meters from the Dark Tower.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
Answer:
See below
Step-by-step explanation:
<u>Recursive Formula for Arithmetic Sequences</u>
- <u />
- represents the nth term
- represents the preceding term
- represents the common difference
<u>Explicit Formula for Arithmetic Sequences</u>
- <u />
- represents the nth term
- represents the 1st term
- represents the common difference
<u>Ernest's Schedule Recursive Formula</u>
We can see that the common difference is because for each week, Ernest swims 0.25 more kilometers than the preceding one. Therefore, the recursive formula for Ernest is
<u>Ernest's Schedule Explicit Formula</u>
Given our common difference from earlier and the fact that is our first term, the explicit formula for Ernest is
<u />
<u>Denise's Schedule Recursive Formula</u>
We can see that the common difference is because for each week, Denise swims 0.5 more kilometers than the preceding one. Therefore, the recursive formula for Denise is
<u>Denise's Schedule Explicit Formula</u>
Given our common difference from earlier and the fact that is our first term, the explicit formula for Denise is
Answer: t= 13.2 seconds
Step-by-step explanation:
The quadratic function for ball's height in terms of time t is given as
s(t)= -16t² +192t + 256
Now we want to find out the time at which the ball hits the ground.
When the ball hits the ground, the height of the ball will become zero so in the above equation we can put s(t)=0
0= -16t² +192t + 256
or 16t² -192t - 256 = 0
Solving this quadratic equation, we have
t= 13.211 and t= -1.211
Since time can't be negative so
t= 13.2 seconds