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.
Given :
Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour.
In both cases, she must also rent a helmet for $5 an hour.
To Find :
Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.
Solution :
Let, after t hours total money required is ( if she rent bike ).
T = 30t.
Money required to purchase bike , M = $250.
For cost of buying a bike to be less than renting a bike :
Hence, this is the required solution.
Answer:
Answer C is correct.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
Answer:
5
Step-by-step explanation:
