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:

Insert values:

Multiply 40 to both sides to isolate the variable:

Insert the value of x into a calculator:

Round if necessary:

Done.
Answer:
400
Step-by-step explanation:
Just take 10% of 4,000 flashlights. 400 flashlights are likely to be defective.
Answer:
2 : 3
Step-by-step explanation:
Women are = 3/5
So, Men Must be = 2/5
Ratio of Men to Women:
=> 2/5 : 3/5
Multiplying both sides by 5
=> 2 : 3
Step-by-step explanation:
wait a person was about to report it sorry ;/
had to take it off
Define x:
Let the sum be x
Construct the equation:
<span>The sum of 3 times a number and 5 is 2 times the number plus 15.
</span>→ 3x + 5 = 2x + 15
Solve x:
3x + 5 = 2x + 15 | Equation
x + 5 = 15 | Take away 2x from both sides
x = 10 | Take away 5 from both sides
Answer: The number is 10.