Answer: 12.1 ft
Step-by-step explanation:
A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.
c² = a² + b²
Where:
c = hypotenuse
a = base
b = Height
c² = 11² + 5²
c² = 121 + 25
c² = 146
c = √146
c = 12.1 ft
Answer:
line 1: y= 1x+ 2
line 2: y= -1x-0.5
(usually 1 is omitted but I added for clarity)
Step-by-step explanation:
slope (x)= yfinal-yintial/xfinal-xinitial
b= where line intersects y axis
line 1: (-1,0), (0.5,1.5)
(1.5-0)/(0.5-(-1))
(1.5)/(1.5)
slope= 1x
y=x+ 2
line 2: (-0.5,0), (0.5,-1)
(-1-0)/(0.5-(-0.5))
(-1)/(1)
slope= -1x
y=-x-0.5
Answer:
The ordered pair is a solution.
Step-by-step explanation:
Plug x = -3 and y = 0 into the 2 inequalities and see if they fit:
-2x + 2y >= 4
-2(-3) + 2(0) = 6 which is > 4 so this one fits.
y>= 2x - 6
0 >= 2*-3) - 6 = -12 which also fits.
Answer:
B) 8
Step-by-step explanation:
Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.
If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.
Answer:
32.33 <= m
Step-by-step explanation:
Since we are dealing with below sea level our initial starting point and max level will both be negative values, while our descending rate will also be negative because we are going down. Using the values provided we can create the following inequality...
-400 <= -12m - 12
Now we can solve the inequality to find the max number of minutes that the submarine can descend.
-400 <= -12m - 12 ... add 12 on both sides
-388 <= -12m ... divide both sides by -12
32.33 <= m
