1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stira [4]
2 years ago
5

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

You might be interested in
.08 is 10 times as much as
Mazyrski [523]
It is 10 times as much as .008

Do you see the pattern?
5 0
3 years ago
The sum of the 10 terms in a geometric series with a first term of 5 and a common ratio of 2 is 5115. What is the sum of the 10
Levart [38]

Answer:

It’s 11

Step-by-step explanation:

4 0
3 years ago
What is 25 and -2 1/5
ICE Princess25 [194]

6/962...............................................

5 0
3 years ago
(Will award Fast Brainliest & Many Points!)
Softa [21]

Answer:

A] The slope of f(x) is greater than the slope of g(x).

Step-by-step explanation:

First, you need to calculate the slope of f(x) and g(x) using the slope formula

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are points of the functions.

To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.

m = 1 - (-1) / 3 - 0

m = 1 + 1 / 3

m = 2 / 3

m = 0.66...

To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).

m = 4 - 2 / 5 - 0

m = 2 / 5

m = 0.4

So the slope of f(x) is greater than the slope of g(x).

3 0
3 years ago
Write the equation of a line with slope of 5/6 , and x-intercept of −8 in point-slope form.
babymother [125]

Answer:  y-0 = \frac{5}{6}(x+8)

==================================================

Explanation:

Point-slope form is

y - y_1 = m(x - x_1)\\\\

where m is the slope and (x_1,y_1) is the point the line goes through.

We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.

So,

y - y_1 = m(x - x_1)\\\\y - 0 = \frac{5}{6}(x - (-8))\\\\y - 0 = \frac{5}{6}(x + 8)\\\\

We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.

7 0
3 years ago
Other questions:
  • A bicycle tire has a diameter of 3 feet. How many turns of the wheel could it take for the bicycle to go 792 feet?​
    11·1 answer
  • Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credite
    8·2 answers
  • noah went to the grocery store and bought a package of cookies for $1.79 a loaf of bread for $1.27 and a gallon of milk for $2.4
    9·1 answer
  • You travel 275.5 miles in 8.5 hours whats the speed
    15·1 answer
  • The actual distance between two cities is 35 miles. The scale on a map uses 2 inches to represent 5 miles.How many inches apart
    6·1 answer
  • Find the distance between the points (2, - 5) and ( - 10, - 10).
    10·1 answer
  • The equation p = 5s represents the perimeter p of a regular pentagon with side length s. what is the perimeter of a regular pent
    13·2 answers
  • For your birthday, you want to take a group of friends to an indoor trampoline
    7·1 answer
  • A spinner has 10 sections numbered 1 to 10. Consider the events.
    7·1 answer
  • A dilation has center (0, 0). Find the image of each point for the given scale factor. P(−3,5);D1(P)A. (6,−2)B. (−2,6)C. (−3,5)D
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!