This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°
Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
To work out the volume of a prism, you multiply the area of cross-section by the height (or length).
So for a cylinder, you work out the area of the circle and then multiply it by the height.
Area of circle (or cross-section) = π × radius²
= π × 0.7²
= 0.49π m²
Now to get the volume of the cylinder, you times this area of the cross-section by the height of the cylinder:
Volume = 0.49π × 1.5
= 2.3 m³ (accurate to 2 decimal places)
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Answer:
The maximum volume of rainwater the cylinder can hold is:
<u> </u><u>2.3 </u><u>m³</u>
The answer is 115
The sequence of the total apples look like this:
23 _ 46 _ 69_92_X
In which x is the total amount of apples eaten in the october.
From the sequence above we can see that each months gred and george consume additional of 23 apples
proof:
46 - 23 = 23
69 - 46 = 23
92 - 69 = 23
So, the amount of apples they will eat in November is:
92 + 23 = 115
Answer:
58 degrees
Step-by-step explanation:
90 - 32 = 58
For this case we observe that the dimensions of the original piece are:
3 feet
2.5 feet
Let's multiply these dimensions by a scale factor k:
3 * k
2.5 * k
We match the new dimensions with their respective values:
3 * k = 6
2.5 * k = 5
Clearing k we have:
k = 6/3 = 2
k = 5 / 2.5 = 2
Since the value of k is the same, then the pieces are similar.
Answer:
The pieces are similar.
The ratio of their corresponding side lengths is:
k = 2
