Well they painted HALF the room in 3/4 of an hour.
That means that, considering they keep up the same speed, it will take them 3/4 of an hour to do the OTHER half.
This means that it will take them....
1 and 1/2 hours to do their entire room.
True: adding two polynomials will always result in another polynomial
Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
- 2 cos
(
x
) (
2
x
) +
2 cos
(
x
) *
30
° +
√
3
=
0
- Multiply 2 by 2
- 4 cos
(
x
) x + 2 cos
(
x
) *30
°
+
√
3
=
0
- Multiply 30
°by 2
- 4
cos
(
x
) x + 60
cos
(
x
)
+
√
3
=
0
- Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
- 4xcos(x)+60cos(x)+√3=0
- Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194
To solve this problem you must apply the proccedure shown below:
1. Yoy have that the <span>rectangular tank has the following dimensions:
Length=3 inches
Widht=4 inches
Height=5 inches
2. Then, its volume is:
V1=LxWxH
V1=3 inchesx4 inchesx5 inches
V=60 inches</span>³
3. The sides of the <span>solid metal cube are of 3 inches, therefore, its volume is:
V2=s</span>³
V2=(3 inches)³
V2=27 inches³
4. T<span>he volume, in cubic inches, of water that the tank can now hold is:
Vt=V1-V2
Vt=60 inches</span>³-27 inches³
Vt=33 inches³