Justin wants to use 376ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?

Answers

Answer 1
Answer: If the perimeter is fixed, the greatest possible area is a circle, and the next greatest is a square.

Justin should use his 376 ft of fence in a square with sides of 94 ft. The area will be 8,836 square feet. (94 x 94).

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How do I write 88.691 as a mixed number?

Answers

88.691 is 88 691/1000 as a fraction

According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?


(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.

(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.

(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.

Answers

Answer:

Options A and B are true

(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

B. (B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

Step-by-step explanation:

A. In a developed society, it's imperative for the authority to hold public hearings with stake holders to air their views before the tolls are increased, this would enable the authority to carry out proper assessment to know both the positive and negative impact of increasing the toll.

B. Increasing the tolls implies that there must be adjustment in the automated tolling machines and this would incur cost on the authority, this contract would be executed by private contractors.

Stuart is 4 1/2 feet tall how tall is he in inches​

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Stuart is 1.772 inches.

What is 9+10
A. 1
B. 21
C. 19
D. 1,000,000

Answers

Technically it is 19.
Say you have 9 cars.  Your friend gives you 10 more.  You now have 19.

What are the two consecutive number with a product of 121

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x(x+1)=121 \n x^2+x-121=0 \n \Delta=485
Since \Delta is not a perfect square, the solution is not integer. So there are no consecutive numbers really.

What two numbers multiply into 30 but adds up to negative 11

Answers

-6 and -5 both add up to -11 and multiply to 30
-5 and -6
-5*-6 = 30, since the two factors are negative the answer is positive.
-5-6 = -11, -5-6 is the same as -5 + -6 which equals -11