Answer:
3485 ft
Step-by-step explanation:
The height above the radar station is found using ...
height = distance × sin(angle)
height = (4200 ft) × sin(55°) ≈ 3440 ft
Since the radar station is 45 ft above the ground, the height of the clouds will be an additional 45 ft:
3440 ft + 45 ft = 3485 ft . . . . height of clouds
_____
<em>Comment on units</em>
You need to be a bit careful here because one dimension is given in feet and another in yards. You need to use 1 yard = 3 feet to figure that 1400 yards = 4200 feet. You could convert 45 ft to 15 yards and report the cloud height in yards. That would not be wrong, but it would be unusual.
Answer:
SOH CAH TOA
Step-by-step explanation:
<em>Finding sides (first 2 pictures)</em>
For finding sides of a triangle, you first must "map" the triangle using the given angle as a reference. In this case (for the first picture) use the angle with the measure of 32. The side directly across from the reference angle is the opposite. Label it "O." The side directly across from the right angle is the hypotenuse. Label it "H." Thus, the other side (12) must be the adjacent side. Label it "A." Since you are given 
and 
, and you know that is the hypotenuse and is the adjacent side, you use the CAH operation, meaning 
.
Set it up like so:
Use order of operations:
Plug that in your calculator and that's your answer.
<em>Finding angles (last 3 pictures)</em>
In the third picture, you are given two sides and x. When finding angles, you <em>only</em> use what you are given. However, instead of using sin, cos, tan, you must use the inverse, which is 
and so on.
Since you are trying to find x, you still use it as your reference angle. 20 is the hypotenuse and 11 is adjacent. Don't worry about the other side- it's not necessary unless it's given. Since you are given the hypotenuse and the adjacent, you use the 
property. (inverse)
It's done like so:
Put that in your calculator, and that's the answer! The rest of the angle problems are done the same way, just using different sides.
THE CORRECT ANSWER WAS
$3,750
<em>*100% CORRECT ANSWERS </em>
<em>(SEE ATTACHMENTS)</em>
Opposite:
Just change the sign.
If it's a positive number, make it negative.
If it's a negative number, make it positive.
Absolute value:
Even easier.
Just throw away the sign, and you have it.
Answer:
key features are the slopes of both linear functions, if they are not equal then the two linear functions will be intercepted
Step-by-step explanation:
Any linear function can be represented by the following linear equation:
y=mx+b
where m is the slope of function
and y in the intercept
Given:
The SneakerRama Company makes and sells sneakers.
They have one linear function that represents the cost of producing sneakers
Let it be represented by y₁=m₁x+b₁
and another linear function that models how much income they get from those sneakers
Let it be represented by y₂=m₂x+b₂
Now if m₁≠m₂
then the two functions will intercept at some point on the graph at some value of x. At that point the cost of producing sneakers will be equal to income they get from those sneakers.
y₂-y₁=0
This point is called the break-even point and the profit is zero at this point !
