Answer:
2.5198421 is yhe answer of 3^√16
<u><em>Answer:</em></u>
(m×1/3)-6=y
<u><em>Step-by-step explanation:</em></u>
- Start with m as the unknown variable.
- Now multiple that by 1/3 to find that portion of m. (m×1/3)
- Lastly, subtract 6 and set the expression equal to y. (-6=y)
- Thus we get our final equation: (m×1/3)-6=y
Answer:

Step-by-step explanation:
The diagram shows shaded region which boundary is bounded with two lines.
<u>Equation of the 1st line:</u>
This line passes through the points (-6,0) and (0,-6), so its equation is

<u>Equation of the 2nd line:</u>
This line passes through the points (-2,0) and (0,4), so its equation is

The origin belongs to the shaded region, so it must satisfy both inequalities, so
correct inequality is 
correct inequality is 
Note that signsare with notion "or equal to" because lines are solid.
Answer:

Answer:
x = 32
Step-by-step explanation:
Since all sides of the triangle are congruent then the triangle is equilateral.
The angles of an equilateral triangle are congruent with measure of 60°
Equate
2x - 4 = 60 ( add 4 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
Answer:
<h3><u>Cylinder</u></h3>

Given:

<h3><u>Cube</u></h3>

Given:

<h3><u>Volume available to be filled with water</u></h3>
Volume of cylinder - volume of cube
= 684π - 512
= 1532.75204 cm³
1 litre = 1000 cm³
⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³
As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder. Therefore, the water will <u>not</u> come over the top of the container.