Answer: The answer is 972.
Step-by-step explanation: The formula for the volume if a cylinder is πr2h and the radius is 9 and to the second power is 81. So then the radius multiplied by the height (which is 12) is 972 which is the answer.
Here we have one large triangle with two smaller triangles drawn inside. The two smaller triangles are similar.
Thus, a/12 = 12/16, or a/12 = 3/4, or 4a=36, or a = 9.
Find b in the same way: b/20 = 9/12 (and so on).
Answer:
The ribbon is 28.4 meters
Step-by-step explanation:
Given the box is 5m high, 6m long, and 8m wide,
we have a right angled triangle with hypotenuse = unknown, x, say
Opposite = 5m and 8m
Then, by Pythagoras theorem
x² = 5² + 8²
x² = 25 + 64
x² = 89
x = √89 ≈ 9.4m
The ribbon is now (5 + 6 + 8 + 9.4)m = 28.4m
Since 1A claims that the diagram is of a square, you can easily find the perimeter by multiplying just one side by 4, because the definition of a square says that all of its four sides are equal in length.
Take the left side, x and 4, and add them together, because both of these lengths add up to form the side of the square. You have found one side of the square, x + 4. Now multiply this side by 4 for the perimeter.
Perimeter is the length all around the figure, and since a square has 4 sides you would multiply one side by 4 to find the perimeter.
4(x + 4) is your expression for the perimeter of the square. You could probably solve 1B and 1C by substituting in 3 and 5 for x in the equation I've given you :)
