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2 years ago

Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. m (smaller value) m (larger value)

Mathematics

1 answer:

Sladkaya [172]2 years ago

5 0

Answer:

19 m

Step-by-step explanation:

Perimeter = 2(length + width) ; P = 2(l+w) - - (1)

Area = Length * width ; A = l*w - - - (2)

76 = 2(l+w)

76/2 = l+w

l+w = 38

l = 38 - w

Put l = 38 - w in (1)

A = (38-w)*w

A = 38w - w²

At maximum point:

dA/dw = 0

dA/dw = 38 - 2w

38 - 2w = 0

38 = 2w

w = 38/2

w = 19

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A number divided by three less two is at most two

zheka24 [161]

Answer:

Step-by-step explanation:

6/3 = 2

5 0

3 years ago

Snyone get this if u do please csn u help me

In-s [12.5K]

So what I think you do is that yu have to simplify or divide. Good luck! - from: a 7th grader

3 0

3 years ago

Plz help !!!!!!!!!!!!!

Serhud [2]

I not 100% sure but I chose C.

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3 0

2 years ago

The equation of a parabola is 18(y−5)2=x+3 . What are the coordinates of the focus? (−3, 7) (−5, 5) (−1, 5) (−3, 3)

aleksandrvk [35]

18(y-5)^2=x+3

do the algebra to make it into =x form

x=18y^2-180y+447

then you take the form of the focus, you can do the math

(-215/72, 5)

6 0

3 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago