3(x + 2) > x
3x + 6 > x
3x - 3x + 6 > x - 3x
6 > -2x
6/-2 < -2x/-2
-3< x
(When dividing by a negative, reverse the direction of the inequality side, reverse it EVERY time you divide by a negative)
ANSWER: -3 < x
6 times 3/8 is the same as:
<span>6/1 * 3/8 </span>
<span>Now, multiply the tops and bottoms to get: </span>
<span>18/8 </span>
<span>We can divide the top and bottom by 2, giving us: </span>
<span>9/4</span>
Answer:
Correct answer: Db = 411 .18 ft
Step-by-step explanation:
Given:
α = 27° angle of depression
Dt = 462 ft distance from the top of lighthouse to the boat
Db = ? distance from the base of the lighthouse to the boat
Here we have a right triangle with hypotenuse Dt and one leg Db.
By definition
cos α = Db / Dt ⇒ Db = Dt · cos α
Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft
Db = 411 .18 ft
God is with you!!!
Answer:
(-1,3)
Step-by-step explanation:
so y=x+4 and y=-2x+1
obviously, y=y
so that means that x+4 is equal to -2x+1
let's use that
y=x+4,y=-2x+1
y=y
x+4=-2x+1
x+2x=1-4
3x=-3
x=-1
y=x+4
y=(-1)+4
y=3
(-1,3)
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
