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
laila [671]
3 years ago
7

PLEASE HELP!!! Pr-Cal Question 20 points

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0

Answer:

3600

Step-by-step explanation:

perimeter is  120ft

Goal is to get the largest area.

so you can start with a list of possible solutions:

1*119 = 119ft

2*118 = 236ft

.

.

.


60*60 =3600ft

61*59 = 3599ft

.

.


Irina18 [472]3 years ago
4 0

Answer: it is well known that the largest area would be a circle with circumference 120 ft, and it is well known that a square 30ft on a side gives the most area of all retangles with perimeter 120 ft, but we are to prove it. The equation is area = side × (60 - side).


Step-by-step explanation:

Let s be one side of the rectangle, and 60-s be the other side. Maximize the area, which is


a(s) = s×(60-s) = -s^2 + 60s


This quadratic equation reaches a maximum when da(s)/ds = 60 - 2s = 0.


2s = 60, s = 30.

You might be interested in
Someone please help :)
larisa86 [58]
The answer is 6m djsjdjjsskskksksksksksksmsmsm
8 0
2 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is
BARSIC [14]
Large boxes are 40 pounds.
Small boxes are 30 pounds.
Let me know if you need the work!
6 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
Read 2 more answers
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long b
Evgen [1.6K]

Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

8 0
3 years ago
14. Find the slope-intercept form for the equation of the
UNO [17]
The correct answer here is D
8 0
3 years ago
Other questions:
  • Find the coordinates of the midpoint of HK if H(-1,2) and K(-7,-4)
    14·2 answers
  • Pls help for math homework. Show work.
    10·1 answer
  • -6(w - 4) + 8W=6(w + 2)​
    9·2 answers
  • At the toy store you could get 2 board games for $8.36. Online price for 3 board games is $12.84. Which place has the lowest pri
    15·1 answer
  • A number cube has sides numbered 1though 6 the probability of rolling a 2 is
    6·1 answer
  • Simplify 6(7x - (3 - 6y + 5x) + 6y)
    8·1 answer
  • Tiyana is saving for a vacation. She wants to have at least $75 for each of the 12 days of her trip. If she saves $ 85 each mont
    15·1 answer
  • The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and
    7·2 answers
  • What is the slope of the line?
    8·1 answer
  • Elisabeth reads 15 of her book in 112 hours. Elisabeth continues to read at this pace. How long does it take Elisabeth to read 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!