Answer:
5668.3
Step-by-step explanation:
The problem can be represented as a right angled triangle as shown below.
The angle of depression is equivalent to the angle inside the triangle (alternate angles) and it is 34°.
The altitude of the balloon is 2999 feet. (opposite)
Using trigonometric function, SOHCAHTOA, we can solve this:
The pilot is 5668.3 feet far away from the house.
Answer:
x > - 3
Step-by-step explanation:
x + 2 > -
First turn 2
into an fraction since its easier. So it becomes
x + > -
<u> - </u><u> - </u>
<u> </u> Do inverse operations, so subtract
from both sides.
x > - Combine -
with -
, which gives us -
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
To find if 3 goes int 92
we need to divide 92 by 3
Figure of the division attached
The first part is 3 goes 3 times into 9 leaving remainder 0
We are left with 2 to divide
but since 3<2, we add 0 to the quotient and leave the 2 as the remainder
Hence 3 goes 30 times in 92 leaving a remainder of 2
