Answer:
J 1
--------
x^2 -x
Step-by-step explanation:
x+1
----------
x^3-x
Factor out an x in the denominator
x+1
----------
x(x^2-1)
We can factor the terms in the parentheses because it is a difference of squares
x+1
----------
x(x-1) (x+1)
Canceling the x+1 terms
1
----------
x(x-1)
Distribute in the denominator
1
--------
x^2 -x
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
Answer:
Option A (2197 cm³)
Step-by-step explanation:
For a cube with length of each side "a" , it's
- Total Surface Area = 6a²
- Volume = a³
_____________________________________________
According to the question ,
Total Surface Area = 1014 cm²
Let the length of each side of cube be 'a'.
Using the formula ,
But length can't be negative . So , length of each side = 13 cm
∴ Volume of cube = 13³ = 2197 cm³
Answer:
71.32 feet
Step-by-step explanation:
We set up a trigonometric function to get height of tree
Distance ,x = 35 feet away from tree base
Angle = 62⁰ at eye level
Y = tan(angle) * x
= Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
Answer:
So we have this equation:
2 (3x-2) - 4x = 5x + 2
You can first operate the parenthesis, knowing that a(b+c) = ab + ac (conmutative)
2(3x-2) - 4x = 5x + 2
2 * 3x - 2 * 2 - 4x = 5x + 2
6x - 4 -4x = 5x + 2
Now, we can operate the x:
6x - 4 -4x = 5x + 2
2x - 4 = 5x + 2
And sum 4 in both sides and substract 5x in both too.
2x - 4 = 5x +2
2x - 4 + 4 - 5x' = 5x + 2 + 4 -5x
Now we can operate:
-3x = 6
And we can divide by -3 the two sides...
x = 6/-3 = -2
