Answer:
3√15/4
Step-by-step explanation:
sin x = 2/8
- from the trigonometric rule sin²x+cos²x = 1
- cos²x = 1-sin²x
sinx = 2/8
sin²x = (2/8)² = 2²/8² = 4/64
1- sin²x = 1-4/64 = 64 -4/64 = 60/64 = 15/16
cos x = √(15/16) = √15 /4
3 x cos x = 3 x √15/4 = 3√15/4
Answer: About 22%
This is because all of her expenses add up to $800. $175 of those are for her phone and clothes. 175/800 equals about 22 percent. Exact answer is 21.875%
Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
<em>Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use</em>. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
We can treat each distance distance traveled by the four wheelers are vectors. Their sum must be zero since the last four wheeler truck ends up where the first four wheeler truck started
d1∠1 + d2∠2 + d3∠3 + d4∠4 + d5∠5 = 0
d5∠5 = - (d1∠1 + d2∠2 + d3∠3 + d4∠4)
Since we don't know the speed of the fifth wheeler, we just add the angles and equate it to 360
20 + 30 + 0 + -40 + ∠5 = 360
∠5 = 350 or -10
The fifth wheeler must travel at an angle of -10 degrees.
