The length and width of a rectangle have a sum of 90. What dimensions give the maximum area?

Answers

Answer 1

Answer: $w-width\nl-length\n\n2w+2l=90\n2l=90-2w\ \ \ \ /:2\nl=45-w\n\nA=wl\to A=w(45-w)=45w-w^2$

$Area\ of\ a\ rectangle\ is\ a\ square\ function.\nThe\ maximum\ area\ is\ equal\ to\ the\ y-coordinate\ of\ vertex\nand\$

Answer 2

Answer: 2( l + w) = 90, where l, w are dimensions of the rectangle => l + w = 45;
The maximum area is obtain when l = w;
Then l = w = 45/2 = 22.5

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*** Solve 2x + y = 7 for y.

What is the solution of 2=6p-8-5p?

Answers

The simplified solution is 3/5 or .6.

Which angle forms a vertical pair with nsm a.osl b.smn c.snm d.osn

Answers

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that ∠NSM,

we need to find is vertical angles of ∠NSM,

1) ∠OSL is a vertical angle of ∠NSM as it has one common vertex and all other are collinear points.

2) ∠SMN can't be vertical angle as vertical angles must be equal at common vertex but it does not do that it forms angle on M rather than on S.

3) ∠SNM can't be vertical angles as vertical angles must be equal at common vertex but it does not do that it forms angle on N rather than on S.

4) ∠OSN can't be vertical angle as vertical angles must have only one common vertex but in this case it has two common vertex i.e. S and N. so it will be linear pair.

Hence, Option 'a' is correct.

Which algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?

Answers

Quotient: division

Negative 8: -8

Sum of a number: let the unknown number be represented by x

And Three: x + 3

So, the quotient (division) of -8 and x+3

-8 ÷ x + 3

Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Lastweek she worked 52 hours and earned $544. What is her hourly pay?

Answers

Answer:

her hourly pay is £8.50

Step-by-step explanation:

h= hourly pay

n = number of hours worked over 40 hours in a week

week pay = 40h + (n x 2 x h)

544 = 40h + 2nh

52 - 40 = 12, so n = 12

544 = 40h + 2 x 12 x h

544 = 40h + 24h

544 = 64h

544/64 = 8.5 h=8.5 (£8.50)

just to check:

£8.50 x 40 = £340

£8.50 x 2 x 12 = 204

340 + 204 = 544 yayy the answer is correct

hope this helps x

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in 2004, 34.2 million accountants e-filed income tax returns. this was 114% of the number who filed in 2003. Find the number of accountants who e-filed income tax returns in 2003