He would be able to make 4 servings out of it:
<em>6 * 2/3=4</em>
Answer:
x ≥ -1
Step-by-step explanation:
As it is shaded and on -1, it is greater than or equal to -1.
Answer:
The ramp is 21.8 ft tall.
Step-by-step explanation:
If you convert this into a triangle, 40 ft is the hypotenuse, 33° is the angle next to the right angle (on the horizontal line) and we need to find how tall the ramp is, which will be x. It is very helpful to draw a picture.
We will use the sine ratio because, starting from the given degree of 33, we have the hypotenuse value and need to find the value opposite the degree:
![sine=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sine%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Insert values:
![sin33=\frac{x}{40}](https://tex.z-dn.net/?f=sin33%3D%5Cfrac%7Bx%7D%7B40%7D)
Multiply 40 to both sides to isolate the variable:
![40(sin33)=40(\frac{x}{40})\\\\40*sin33=x\\\\x=40*sin33](https://tex.z-dn.net/?f=40%28sin33%29%3D40%28%5Cfrac%7Bx%7D%7B40%7D%29%5C%5C%5C%5C40%2Asin33%3Dx%5C%5C%5C%5Cx%3D40%2Asin33)
Insert the value of x into a calculator:
![x=21.7855614](https://tex.z-dn.net/?f=x%3D21.7855614)
Round if necessary:
![x=21.8 ft](https://tex.z-dn.net/?f=x%3D21.8%20ft)
Done.
Let the height of the flagpole be x, then
tan 30 = x/75
x = 75tan 30 = 43 feet
Therefore, the height of the flagpole is 43 feet.
Answer:
Step-by-step explanation: