Answer:
y = 1/6x + 5
Step-by-step explanation:
-x + 6y = 30
6y = x + 30
y = 1/6x + 5
The first choice is correct. No, the rectangle cannot have x=60 and y=11 because x=48+2y.
Perimeter is x=2w+2y. Therefore x=2(24)+2(11) which equals 70 not 60.
The horizontal component is:
17.1cos45.6≈11.96 so
vx=12.0 ft/sec (to nearest tenth ft/s)
Answer:
A: 8x-12
B: 5(n+3)
Step-by-step explanation:
A) Distribute 4 to the numbers inside the parenthesis.
4 x 2x= 8x
4 x -3= -12
8x-12
B) 5 is divisible to 15, so you can divide it with both numbers.
5/5=1
15/5=5
5(n+3)
Answer: The mat is 4.33 ft high off the ground.
Step-by-step explanation:
Since we have given that
Angle of elevation with the first triangle = 30°
Angle of elevation with the second triangle = 60°
Length at which gymnastics mat extends across the floor = 5 feet
so, As shown in the figure:
We need to find the height of the mat off the ground.
If CD = 5 ft,
Let, AB = y, DC = x.
In Δ ABC,

Similarly, in Δ ACD,

Hence, the mat is 4.33 ft high off the ground.