area = pi X radius squared
so area = 3.14 x 124^2
= 3.14 x 15376 = 48,280.64 square centimeters.
It would take the tortoise 1 minutes and 15 seconds
Answer: (A) 6.6 sec (B) 6.89 sec
<u>Step-by-step explanation:</u>
y = -16t² + 1700
1000 = -16t² + 1700
<u>-1700</u> <u> -1700 </u>
-700 = -16t²
<u> ÷-16 </u> <u>÷-16 </u>
43.75 = t²
√43.75 = √t²
6.6 = t
***********************************
y = -16t² + 1700
940 = -16t² + 1700
<u>-1700</u> <u> -1700 </u>
-760 = -16t²
<u> ÷-16 </u> <u>÷-16 </u>
47.5 = t²
√47.5 = √t²
6.89 = t
The measure of the angle ∠PQR is 90 degrees
<h3>How to prove that ∠PQR is 90 degrees?</h3>
The equation of the line PQ is given as:
3x - y - 2 = 0
The coordinates of the QR are given as:
(0, -2) and (6, -4)
Make y the subject in 3x - y - 2 = 0
y = 3x - 2
The slope of the above line is
m1 = 3
Next, we calculate the slope (m2) of points Q and R.
So, we have:
m2 = (y2- y1)/(x2 - x1)
This gives
m2 = (-4 + 2)/(6 - 0)
Evaluate
m2 = -1/3
The slopes of perpendicular lines are opposite reciprocals.
m1 = 3 and m2 = -1/3 are opposite reciprocals.
This means the lines PQ and QR are perpendicular lines.
The angle at the point of perpendicularity is 90 degrees
Hence, the measure of the angle ∠PQR is 90 degrees
Read more about linear equations at:
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The hour all animals get fed at the same time if Frankie starts at 6:00 Am is 6:00 pm
<h3>Common multiple</h3><h3 />
- Hamster 4oz of food = 6 hours
- Guinea pigs 12oz of food = 12 hours
- Land tortoise 24oz of food = 24 hours
Find the lowest common multiple
- 6 hours = 6, 12, 18, 24
- 12 hours = 12, 34, 36
- 24 hours = 24, 48, 72
The lowest common multiple of 6, 12 and 24 is 12
if Frankie starts at 6:00 Am?
6:00 am + 12 hours
= 6:00 pm
Therefore, the hour all animals get fed at the same time if Frankie starts at 6:00 Am is 6:00 pm
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