Let's use this illustration of shapes to learn more about ratios. How can we write the ratio of squares to circles, or 3 to 6? The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.
Answer: 1 and 4/9
Explanation: To write 13/9 as a mixed number, we divide 9 into 13.
9 divides into 13 once so we put a 1 above the 3.
1 x 9 is 9 and 13 - 9 is 4.
So 9 divides into 13 one time with a remainder of 4.
This means that 13/9 can be rewritten as the mixed number 1 and 4/9.
B. A three-dimensional solid made from a pile of similar two-dimensional circles that grow smaller as the solid gets taller until it reaches a point at the vertex
C. A three-dimensional solid consisting of a base, a point not in the same plane as the base, and all the points between them
D. A three-dimensional solid consisting of two parallel congruent polygons and all the points between them
A cone is best described in the point:
B. A three-dimensional solid made from a pile of similar two-dimensional circles that grow smaller as the solid gets taller until it reaches a point at the vertex.
Three-dimensionalfigures are solid shapes, having three dimensions: length, width, and height.
Some examples of three-dimensionalfigures are cube, cuboid, cone, and cylinder.
We will discuss the description of all the figures given to us, try to know which figure is the description about, and then will tell what is the description of a cone.
A. A three-dimensional solid made from two parallel and congruent discs not in the same plane and all the points between them.
- The description is of a cylinder. A cylinder has both its end as two parallel and congruent discs, which are not on the same plane and include all the points between the discs.
B. A three-dimensional solid made from a pile of similar two-dimensional circles that grow smaller as the solid gets taller until it reaches a point at the vertex.
- The description is of a cone. A cone has a circular base, which grows smaller and smaller to a point.
C. A three-dimensional solid consisting of a base, a point not in the same plane as the base, and all the points between them.
- The description is of a pyramid. A pyramid can have any base, that grows smaller and smaller to a point.
D. A three-dimensional solid consisting of two parallel congruent polygons and all the points between them.
- The description is of a prism. On either end of a prism are two polygonal forms that can be any shape with three or more sides.
∴ A cone is best described in the point:
B. A three-dimensional solid made from a pile of similar two-dimensional circles that grow smaller as the solid gets taller until it reaches a point at the vertex.
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There are 2,880 different casts that can be created from those who auditioned.
To calculate the number of different casts that can be created, we need to multiply the number of options for each role.
For the lead female role, there are 5 options.
For the lead male role, there are 3 options.
For the best friend role, there are 8 options.
For the mother role, there are 4 options.
For the father role, there are 2 options.
For the humorous aunt role, there are 3 options.
To find the total number of possiblecasts, we multiply the number of options for each role:
5 x 3 x 8 x 4 x 2 x 3 = 2,880
Therefore, there are 2,880 different casts that can be created from those who auditioned.
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