How many square units are in the greatest area that can be enclosed by a rectangle whose perimeter is 20 units?

Answers

Answer 1

Answer: In order to have a greatest rectangle, it has to be a square. Because the perimeter is 20 units, the length of 1 side of the rectangle is 20:4=5. Thus, there are 5*5= 25 units could be enclosed in the rectangle. Feel free to ask more :))

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Rachel's penny bank is 3/10 full. After she adds 440 pennies, it is 4/5 full. How many pennies can Rachel's bank hold?

Answers

Let p = number of pennies we need to find.

(3/10)/(4/5) = p/440

Solve for p to find your answer.

Answer:

880

Step-by-step explanation:

Multiply the numerator and the denominator of 4/5 by 2 so it can be added. Rachel's bank would now be 8/10 full. If 440 pennies made it half full (8/10-3/10= 5/10, which equals 1/2) then 880 pennies (440 times 2) would fill it up completely. Hope this helps!

-throckmorton

Evaluate the expression 15x + 4 for x = −1 1/2 (20 points + Brainliest for right answer)

Answers

Answer:

11/-30 Hope this helped :)

Step-by-step explanation:

15x + 4 = -1 1/2

15x = -5 1/2

x = 11/-2*1/15

x = - 11/-30

What’s the answer to the question

Answers

angle B would be 111° since a pentagon adds up to 540° total.

Answer:

the total angle of a five sided polygon is 540, hence angle a + e + d+ c = 540.

to find b, take 540 - 150 - 92 - 98 - 89 = 111 (the answer)

The cost y (in dollars) to rent a pickup truck is proportional to the number x of hours that the pickup truck is rented. It costs $100 to rent the truck for 4 hours. Write an equation that represents the cost to rent a pickup truck for x hours?

Answers

Answer:

Step-by-step explanation:D∧M a\\

Final answer:

The cost to rent the truck is directly proportional to the number of hours it's rented for. We determine the constant of proportionality to be $25 per hour. Therefore, the equation representing the cost of renting the truck for 'x' hours is y = 25x.

Explanation:

The subject of your question pertains to Mathematics, specifically with relation to a concept called proportionality. In this particular case, the cost of renting a pickup truck (y in dollars) is proportional to the number of hours the truck is rented (x). Since we know that the truck costs $100 for 4 hours, we can use these values to establish a ratio which can be represented as an equation. The ratio of cost to hours is $100/4 hours which simplifies to $25/hour. This is the constant of proportionality. Therefore, the equation that represents the cost to rent the pickup truck for x hours is y = 25x. This equation delineates that for every hour the truck is rented, the cost increases by $25.

Learn more about Proportionality here:

brainly.com/question/29184295

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If triangle MNO is congruent to triangle PQR , which of the following can you NOT conclude as being true.. a- line MN is congruent to like PRb- angle M is congruent to angle P
c- line NO is congruent to line QR
d- angle N is congruent to angle Q

Answers

The correct answer is:

A) line MN is congruent to line PR.

Explanation:

We are told that MNO is congruent to PQR. Using this congruence statement, corresponding parts of the triangles are congruent. This means that line MN would be congruent to line PQ, not line PR.

Answer:

a- line MN is congruent to line PR.

Step-by-step explanation:

It is given Δ MNO ≅PQR.

In congruent triangles corresponding sides and corresponding angles are same .

Hence

< M≅<P ,

Line NO= Line QR.

<N≅<Q.

Line MN≅Line PQ.

Among the given options options b,c,d are correct except option a.

We can NOT conclude as being true.. a- line MN is congruent to line PR

Urgentthe area of a square field is 60025m square.a man cycles along its boundary at 18 km per hour
in how much time will he return at starting point

Answers

Area of square field = 60025 m

Thus, side = √60025 = 245 m.

Perimeter = 245 * 4 = 980 meters

Speed = 18 kmph = 5m/s

Time = Distance / speed

= 980 / 5

= 196.

Thus, it will take 196 seconds for the man to return at the starting point.

$Area=60025\ m^2\ \ \ and\ \ \ Area=a^2\n\n\ \ \ \Rightarrow\ \ \ a^2=60025\ m^2 \ \ \Rightarrow\ \ \ a=245\ m\n\n\ \Rightarrow\ \ \ the\ perimeter\ of\ a\ square:\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ P=4a=4\cdot245\ m=980\ m=0.98\ km\n\n Speed=18 (km)/(h) \ \ \ and\ \ \ Speed= \frac{\big{P}}{\big{time}} \n\n18= \frac{\big{0.98}}{\big{time}}\n\n\ \ \ \Rightarrow \ \ \ time= \frac{\big{0.98}}{\big{18}}\ hr=\frac{\big{0.98}}{\big{18}}\ \cdot3660\ s=196\ s=3\ min\ 16\ s\n$

$Ans.\ he\ will\ return \ after\ 3\ minutes\ 16\ seconds.$

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