9514 1404 393
Answer:
30°
Step-by-step explanation:
The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:
Sin = Opposite/Hypotenuse
For a ramp 1 m high and 2 m long, we have ...
sin(x) = (1 m)/(2 m) = 1/2
x = arcsin(1/2) = 30°
The elevation angle of the ramp needs to be 30°.
Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
= 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
= 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
= 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then
Area that can be covered with 4 square feet of tiles = 600/4 square feet
= 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
= 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.
Addition will be the last operation
Answer:
$315.24
Step-by-step explanation:
Principal, P =$262
Rate, r= 3.7% =0.037
Time, t= 5 Years
The Value of the Investment which is compounded continuously is gotten using the formula:

The value of the investment after 5 years is $315.24 to the nearest cent.
Parallel lines will never touch each other while perpendicular forms like an X shape. The slope for the parallel is the same while the perpendicular is a negative reciprocal. (Ex for negative reciprocal. 2/4=4/2)