To calculate the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius of the cylinder and h is the height.
Given that r = 7 units and h = 10 units, you can substitute these values into the formula:
V = 3.14 x (7)^2 x 10
V = 3.14 x 49 x 10
V = 3.14 x 490
V = 1538.6 cubic units
Therefore, the volume of the cylinder is 1538.6 cubic units.
If r = 7 units and h = 10 units, what is the volume of the cylinder shown above? Use 3.14 for.
19 answers
Which of the following best describes the equation below?
y = 1 over 5 (Fraction)x - 6
y = 1 over 5 (Fraction)x - 6
The equation y = 1/5x - 6 is in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.
In this equation:
- The slope (m) is 1/5, which means for every 1 unit change in x, y changes by 1/5 units.
- The y-intercept (b) is -6, which means the line intersects the y-axis at y = -6.
Therefore, this equation represents a line with a slope of 1/5 and a y-intercept of -6.
In this equation:
- The slope (m) is 1/5, which means for every 1 unit change in x, y changes by 1/5 units.
- The y-intercept (b) is -6, which means the line intersects the y-axis at y = -6.
Therefore, this equation represents a line with a slope of 1/5 and a y-intercept of -6.
Is it Linear or nonlinear
The equation y = 1/5x - 6 is a linear equation because the highest power of the variable, which is x, is 1. In general, linear equations represent straight lines on a graph, and they have a constant rate of change (slope) throughout the graph. Since this equation is in the form y = mx + b, where m is the slope and b is the y-intercept, it is considered a linear equation.
What is the square root of 25
The square root of 25 is 5. This is because 5 * 5 = 25, so the square root of 25 is equal to 5.
Ninety members of a gym were asked whether or not they use a treadmill when they exercise and whether or not they lift weights when they exercise. The results of the poll are as follows:14 members do not use a treadmill or lift weights31 members use a treadmill but do not lift weights28 members lift weights but do not use a treadmill17 members use a treadmill and lift weights Which two-way table represents the information found in the poll?
To create a two-way table representing the information in the poll, we can start by listing the categories "Use Treadmill" and "Lift Weights," and then fill in the values based on the given information.
The categories are:
- Use Treadmill (T)
- Do not Use Treadmill (Not T)
- Lift Weights (W)
- Do not Lift Weights (Not W)
Given information:
- 14 members do not use a treadmill or lift weights
- 31 members use a treadmill but do not lift weights
- 28 members lift weights but do not use a treadmill
- 17 members use a treadmill and lift weights
Using this information, we can fill in the two-way table as follows:
```
+----------------------+----------+----------+----------+
| | Use T | Not Use T| Total |
+----------------------+----------+----------+----------+
| Lift Weights (W) | 17 | 28 | 45 |
+----------------------+----------+----------+----------+
| Not Lift Weights(NotW)| 14 | 31 | 45 |
+----------------------+----------+----------+----------+
| Total | 31 | 59 | 90 |
+----------------------+----------+----------+----------+
```
Therefore, the two-way table representing the information in the poll is shown above.
The categories are:
- Use Treadmill (T)
- Do not Use Treadmill (Not T)
- Lift Weights (W)
- Do not Lift Weights (Not W)
Given information:
- 14 members do not use a treadmill or lift weights
- 31 members use a treadmill but do not lift weights
- 28 members lift weights but do not use a treadmill
- 17 members use a treadmill and lift weights
Using this information, we can fill in the two-way table as follows:
```
+----------------------+----------+----------+----------+
| | Use T | Not Use T| Total |
+----------------------+----------+----------+----------+
| Lift Weights (W) | 17 | 28 | 45 |
+----------------------+----------+----------+----------+
| Not Lift Weights(NotW)| 14 | 31 | 45 |
+----------------------+----------+----------+----------+
| Total | 31 | 59 | 90 |
+----------------------+----------+----------+----------+
```
Therefore, the two-way table representing the information in the poll is shown above.
What is the decimal expansion of 5 over 8
To find the decimal expansion of 5/8, you can perform the division:
5 ÷ 8 = 0.625
Therefore, the decimal expansion of 5/8 is 0.625.
5 ÷ 8 = 0.625
Therefore, the decimal expansion of 5/8 is 0.625.
Which of the following best describes the equation below?
2(x + 10) + 7x = 9x - 20
2(x + 10) + 7x = 9x - 20
To determine the best description for the equation 2(x + 10) + 7x = 9x - 20, we need to simplify the equation:
First, distribute the 2 on the left side of the equation:
2x + 20 + 7x = 9x - 20
Combine like terms:
9x + 20 = 9x - 20
Now, subtract 9x from both sides:
20 = -20
This equation doesn't make sense and contradicts the properties of equality. It indicates that there is no solution for this equation, as the two sides of the equation are not equal.
Therefore, the best description for the equation 2(x + 10) + 7x = 9x - 20 is that there is no solution.
First, distribute the 2 on the left side of the equation:
2x + 20 + 7x = 9x - 20
Combine like terms:
9x + 20 = 9x - 20
Now, subtract 9x from both sides:
20 = -20
This equation doesn't make sense and contradicts the properties of equality. It indicates that there is no solution for this equation, as the two sides of the equation are not equal.
Therefore, the best description for the equation 2(x + 10) + 7x = 9x - 20 is that there is no solution.
Use the diagram below to find the distance between points (-6, 5) and (-1, -7).
To find the distance between two points in a coordinate plane, you can use the distance formula:
The formula for the distance between two points (x1, y1) and (x2, y2) is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the points are:
Point 1: (-6, 5) --> x1 = -6, y1 = 5
Point 2: (-1, -7) --> x2 = -1, y2 = -7
Plugging these values into the formula:
Distance = √[(-1 - (-6))^2 + (-7 - 5)^2]
Distance = √[(-1 + 6)^2 + (-7 - 5)^2]
Distance = √[5^2 + (-12)^2]
Distance = √[25 + 144]
Distance = √169
Distance = 13
Therefore, the distance between the points (-6, 5) and (-1, -7) is 13 units.
The formula for the distance between two points (x1, y1) and (x2, y2) is:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the points are:
Point 1: (-6, 5) --> x1 = -6, y1 = 5
Point 2: (-1, -7) --> x2 = -1, y2 = -7
Plugging these values into the formula:
Distance = √[(-1 - (-6))^2 + (-7 - 5)^2]
Distance = √[(-1 + 6)^2 + (-7 - 5)^2]
Distance = √[5^2 + (-12)^2]
Distance = √[25 + 144]
Distance = √169
Distance = 13
Therefore, the distance between the points (-6, 5) and (-1, -7) is 13 units.
The sum of 2 interior angles of a triangle is 160°. What is the measure of the third interior angle?
In a triangle, the sum of all interior angles is always 180 degrees. Given that the sum of two interior angles of the triangle is 160 degrees, we can use this information to find the measure of the third angle.
Let the third interior angle be x degrees. The sum of all three angles is 180 degrees.
So, we have:
x + 160 = 180
Subtracting 160 from both sides:
x = 180 - 160
x = 20
Therefore, the measure of the third interior angle of the triangle is 20 degrees.
Let the third interior angle be x degrees. The sum of all three angles is 180 degrees.
So, we have:
x + 160 = 180
Subtracting 160 from both sides:
x = 180 - 160
x = 20
Therefore, the measure of the third interior angle of the triangle is 20 degrees.
Parallelogram KLMN is similar to parallelogram PQRS.
If the length of MN is 28 cm, the length of LM is 8 cm, and the length of QR is 4 cm, what is the length of RS?
If the length of MN is 28 cm, the length of LM is 8 cm, and the length of QR is 4 cm, what is the length of RS?
If parallelogram KLMN is similar to parallelogram PQRS, the corresponding sides of the two parallelograms are in proportion.
Given:
MN = 28 cm
LM = 8 cm
QR = 4 cm
To find the length of RS, we can set up a proportion based on the corresponding sides of the two parallelograms:
LM : MN = RS : QR
Substitute the given values into the proportion:
8 : 28 = RS : 4
Now, solve for RS:
8/28 = RS/4
RS = (8/28) * 4
RS = (2/7) * 4
RS = 8/7
RS = 1.14 cm
Therefore, the length of RS is 1.14 cm.
Given:
MN = 28 cm
LM = 8 cm
QR = 4 cm
To find the length of RS, we can set up a proportion based on the corresponding sides of the two parallelograms:
LM : MN = RS : QR
Substitute the given values into the proportion:
8 : 28 = RS : 4
Now, solve for RS:
8/28 = RS/4
RS = (8/28) * 4
RS = (2/7) * 4
RS = 8/7
RS = 1.14 cm
Therefore, the length of RS is 1.14 cm.
1 answer