The height, h, of a ball that is tossed into the air is a function of the time, t, it is in the air. The height in feet fort sec
1 answer:
Answer:
Step-by-step explanation:
We have been given that the height, h, of a ball that is tossed into the air is a function of the time, t, it is in the air. The height in feet fort seconds is given by the function .
We are told that the height of the ball is function of time, which means time is independent variable.
We know that the domain of a function is all real values of independent variable for which function is defined.
We know that time cannot be negative, therefore, the domain of our given function would be all values of t greater than or equal to 0 that is .
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*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².
Answer:
Step-by-step explanation:
the question is asking for the length of the side labeled x
use Pythagoras' theorem to find that side
where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem
c =
sooo plug in a = 14 and b = 10
c =
c =
c =
c= 17.20465..... ( that's the approx. length of side x in the problem )
since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.
Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj
since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...
Cos(Ф)=10/17.20465
Ф = arcCos(10/17.20465)
Ф = 54.4623° is the angle on the side with 10
the side with 14 then has an angle of 35.5376°
:)