Hi there!

First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.

Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **

Finally add 4 to our found fraction.

Therefore, the answer is 4 1/3.
Answer: No, it is not a solution
Work Shown:
-2 ≤ k/3
-2 ≤ -9/3
-2 ≤ -3
The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.
Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.
Answer:
65.56°
Step-by-step explanation:
= We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = 220 feet = Height of the building
Adjacent = 100 feet = Length of the shadow
Hence,
tan θ = 220/100
tan θ = 2.2
= arctan(2.2)
= 65.55604522°
Approximately = 65.56°
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to

The vertical distance AB is equal to

Find the horizontal coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

Find the vertical coordinate of point C
we know that

so

----> equation A
----> equation B
substitute equation A in equation B



so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

therefore
The coordinates of point C are (8,8.5)