Answer:
B, x≥2
Step-by-step explanation:
54 - 10x ≤ 20 + 7x - subtract 20
34 - 10x ≤ 7x - add 10x to 7x
34 ≤ 17x - divide 34 by 7
2 ≤ x - flip the equation - x ≥ 2
Hope this is helpful!
Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation
.
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. 
And finally we have
. We input to calculator.

See the attached picture below showing the shore with the boat out at sea and the position of the person.
Answer:24,942,060
Step-by-step explanation:
(10,10,4) - (3,2,0) = 7,8,4
7+8+4=19
19!/(7!*8!*4!)= 24'942'060
Answer:
the points are (35,30) you may need to search a graph online i used desmos
Step-by-step explanation:
1. x= Jacksons Cups y= Lucius Cups2. x - y= 5 6x + 3y = 300Substitution: 6 (y+5) + 3y = 300 6y + 30 + 3y = 300 9y = 270 dived both by 9 y=30 Sub y for other equation x - 30 = 5 add 30 to both sides x = 35 Answer: (35, 30) Graphing: x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100 I will also leave the ss of the graph in the comments if you cannot see it My labels for the x-axis is Jacksons cups and y Is luscious cups. Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following - 6 (x - y = 5 ) 1(6x + 3y = 300 ) -6x + 6y = -30 6x + 3y = 300 The 6 x's cancel and add the y's and real numbers together 9y = 270 dived both by 9 y= 30 Sub y for other equation x - 30 = 6 add 30 to both sides x= 30 The points are (35, 30) The solution is (35,30)They represent how many cups they sold. 35 is Jackson cups and 30 is Lucious's cups