Answer:
6:1:2
Step-by-step explanation:
Let a = Able's score, b = Ben's score, and c = Cal's score.
Since
Able's score was 6 times Ben's score, that means a = 6b.
Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.
Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.
Answer:
Step-by-step explanation:
Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:
Plug in the values
Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3
Answer:
1064 m²
Step-by-step explanation:
The surface area of the prism can be gotten by saying
14 * 14 + 14 * 14 + 14 * 24 =
196 + 196 + 336 =
728 m²
Again, after dealing with the rectangle, we then face the triangle.
Area of triangle is
1/2 * 14 * 24
There are 2 triangles so this makes it
2 * 1/2 * 14 * 24 =
336
The surface area is finally
336 + 728 = 1064 m²
Surface area of the triangular prism has been calculated to be 1064 m²
The spoke of the wheel serves as the radius of the circle.
To solve for the circumference of the circle, we use this formula:
C = 2πr
42 inches = 2 * 3.14 * r
42 inches = 6.28 * r
42 inches / 6.28 = r
6.69 inches = r
The length of each spoke is 6.69 inches.
