Answer:
25600cm³
Step-by-step explanation:
We are given these values from the question
The total surface area of shape P is 720 cm².
The total surface area of shape Q is 2880 cm².
The volume of shape P is 3200 cm³
Step 1
Find the scale factor of P to Q in terms of Length, Area and volume
Using the surface area value:
a. Scale factor for length
2880 cm² ÷ 720 cm²
Divide through by 180
= 16 ÷ 4 = 16/4
b. Scale factor for area
√ 16/4=> 4/2
c. Scale factor for volume
(4/2)³
= 64/8
In order to determine the Volume of shape Q , we would multiply the scale factor of the volume by the volume of P
Volume of P = 3200 cm³
Volume of Q =
3200 cm³ × (64/8)
= 25600cm³
Answer:
<h3>Part A</h3>
The graph is non-linear as it is not a continuous straight line (with only one slope).
<h3>Part B</h3>
<u>Increasing</u>: the y-value increases as the x-value increases
<u>Constant</u>: the y-value stays the same as the x-value changes
<u>Decreasing</u>: the y-value decreases as the x-value increases
Therefore,
- Increasing segment: Between 0 and 2 seconds
- Constant segment: Between 2 and 3 seconds
- Decreasing segment: Between 3 and 5 seconds
<h3>Part C</h3>
For the first 2 seconds, the ant moves 6 cm from a hole in the tree at a steady speed of 3 cm per second. For the next second, the ant is at rest then turns around. For the next 2 seconds, the ant moves 6 cm back to the hole at a steady speed of 3 cm per second. The ant then stops.
Answer:
X=15/2
Step-by-step explanation:
hope it helps you
have a great day
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form use the method of completing the square on both the x and y terms
x² - 6x + y² + 2y = - 9 ← rearranging
x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = - 9 + 9 + 1
(x - 3)² + (y + 1)² = 1 ← in standard form
with centre (3, - 1) and radius 1