Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
where r is the radius and h is the height.
and the surface area:
the first term is the area of the circles and the second term is the area of the body.
since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:
substitutig the equivalent expressions on each side:
and we simplify and solve for the height (since is the value we don't know of the cylinder):
we substitute the value of the radius 
, and we get:
thus the volume is:
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
Answer:
8
Step-by-step explanation:
The intersecting chord theorem is expressed as;
7 * x = 4 * 14
7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
Hence the value of x is 8
Answer:
11, 60.61
Step-by-step explanation:
this is the only set that fits a^2 +b^2=c^2
you square the first two numbers, add them together. Then you take the square root of that sum. This number must equal the third number for it to be a triple.
Answer: $9.09
Explanation:
100% - 30% = 70
The Wise Orange loves to read <span>Diary of a Wimpy Kid. Which store is having that 30% discount?</span>
