The exterior of the crate is 10 inches long, meaning that the inside measurement is 8 inches. Next, the 8 inch width corresponds to 6 inches inside. Finally, the 3 inch height corresponds to 1 inch interior height.

Thus the inside floor of the box is 8 by 6 inches, or 48 square inches.

Since the inside height is only 1 inch, this means that 48 one-inch cubical blocks will fit inside the crate.

7 0

3 years ago

The sum of 1/2 and four times a number is equal to 5/6 subtracted from five times the number. Find the number.

docker41 [41]

1/2 + 4x = 5x - 5/6
1/2 = x - 5/6
3/6 = x - 5/6
x = 8/6

7 0

3 years ago

Find all solutions and solutions in interval[0,2pi)

frutty [35]

$\bf sin(2\theta)=2sin(\theta)cos(\theta)\\\\
-------------------------------\\\\
sin(2x)-\sqrt{3}cos(x)=0\implies 2sin(x)cos(x)-cos(x)\sqrt{3}=0
\\\\\\
\stackrel{\stackrel{common}{factor}}{cos(x)}[2sin(x)-\sqrt{3}]=0\\\\
-------------------------------\\\\$

$\bf cos(x)=0\implies \measuredangle x=
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}\\\\
-------------------------------\\\\
2sin(x)-\sqrt{3}=0\implies 2sin(x)=\sqrt{3}\implies sin(x)=\cfrac{\sqrt{3}}{2}
\\\\\\
\measuredangle x=
\begin{cases}
\frac{\pi }{3}\\\\ \frac{2\pi }{3}
\end{cases}$

7 0

2 years ago

HELP ASAPPPP!!! Question in pic. Find the value of x

erik [133]

Answer:

x = 14

Step-by-step explanation:

30 = 3x - 12 (vertically opp)

30 + 12 = 3x

42 = 3x

42÷3 = x

14 = x

5 0

2 years ago