Answer for Area:
6,518.75 square meters
Explanation for Area:
First, you would multiply the length and the width of the car park to find its area (75 x 100 =7500). Now, find the area of the arena. Since you are given the diameter, divide it by 2 to get the radius (25). Now multiply π by 25^2. This should give you 1962.5. Then, since only half of the arena is in the car park, divide the area of the arena by 2. Now you have 981.25. Now, subtract this from the area of the car park (7500). Your answer should now be 6,518.75.
Answer for Fence:
295 meters
Explanation for Fence:
Add up all the sides. There are two sides with 100 meters and 2 sides with 75 meters. But, because you arent supposed to include the space where the arena is. only add 25. This gets you 300. Now, subtract 5 meters for a gate. 295 is your final answer.
The computation shows that the thickness of the beam is 3.75 inches.
<h3>How to calculate the values?</h3>
11. The thickness of the beam will be:
= 3/4 inch × 5
= 3.75 inches.
12. The length of the board will be:
= 7 5/8 × 5
= 38.125 inches.
13. The total height of the stairs will be:
= 8 3/16 × 13
= 106.4375 inches.
14. The height of the stack will be:
= 55 × 3/8in
= 20.625 inches.
15. The length of the board will be:
= 3/4 × 86 1/4
= 64.6875 inches.
16. The number of hours that it'll take to replace the trim will be:
= 37 1/2 × 1/4
= 9.375 hours.
17. The height of the will required will be:
= 22 × 5/12
= 9.167 feet
18. The inches removed from the wood will be:
= 1/16 × 7
= 0.4375 inches.
19. The shortest finish stock will be:
= 3/16 × 15
= 2.8125 feet.
20. The total amount of board wasted will be:
= 3/16 × 11
= 2.0625 inches.
21. The total rise in the staircase will be:
= 22 × 7 3/8
= 162.25 inches.
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Answer:
Monday, at 12:15 AM
Step-by-step explanation:
Do this question in parts. First, add 2 days to Friday to get Sunday at 5:45 PM. Then, add 6 hours to 5:45 to get 11:45 PM. Finally, add 30 minutes to 11:45 PM. That takes you to 12:15, and since you passed midnight, Sunday is now Monday. That means the bus arrives Monday, at 12:15 AM.
Answer:
C
Step-by-step explanation:
Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3








The factors are: