Area of the trapezoidal bucket, A is 130x² - 77x - 36 cm²
Step-by-step explanation:
- Step 1: Area of a trapezoid = 1/2 (Sum of parallel sides) × Height
Sum of parallel sides = (10x - 2) + (16x + 10)
= 26x + 8 = 2(13x + 4)
Height = 10x - 9
⇒ Area of the bucket = 1/2 × 2(13x + 4) (10x - 9)
= (13x + 4)(10x - 9) cm²
= 130x² - 117x + 40x - 36
A = 130x² - 77x - 36
The question is asking for how many minutes it walks. Since it walks 5 meter per minute and walks 62.5 meters, you have to divide 62.5 by 5 to get how many minutes the tortoise walks. 62.5 divide by 5 is 12.5. in minutes, 0.5 is 30 seconds, therefore the tortoise walked for 12 minutes and 30 seconds or 12 1/2 minutes.
Answer:
The answer is 3,166.7
Step-by-step explanation:
2,000*9.5 = 19,000
19,000/6 = 3,166.6666
The least common denominator is 36
Answer:
b, e
Step-by-step explanation:
a, b) ordinarily, we claim the variable on the vertical axis is a function of the variable on the horizontal axis. By that claim, <em>temperature is a function of time</em>.
If the graph passed the horizontal line test (a horizontal line intersects in one place), then we could also say time is a function of temperature. The graph does not pass that test, so we cannot make that claim.
c) The graph has negative slope between 4:00 and 5:00. Temperature is decreasing in that interval, not increasing.
d) The graph has two intervals in which it is horizontal: 5:00-9:00 and 11:00-12:00. In those intervals it is neither increasing nor decreasing.
e) The graph shows a minimum in the interval 11:00-12:00. <em>The lowest temperature first occurs at 11:00</em>.