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
timurjin [86]
2 years ago
7

You are constructing a triangular sail for a one-person sailboat. For support, a horizontal steel pole will run along the base o

f the sail and a vertical steel pole will run from the base to the top of the sail. In order for the sailboat to function properly, the combined weight of the poles cannot exceed 80 pounds. If the steel poles weigh 5 pounds per foot, what is the area of the largest sail you can build? Fully justify your answer; in particular, you must show that the area you found is indeed the largest possible.
Mathematics
1 answer:
klasskru [66]2 years ago
7 0

Answer:

8 by 8.

Step-by-step explanation:

A triangular sail to be constructed with a vertical and a horizontal poles for support. The combined weight of the poles cannot exceed 80 pounds and the poles weigh 5 pounds per foot gives us a total length of 80/5=16 feet. Let us call the length of horizontal pole by x and we have (16-x) for the vertical one. We want to maximize area of the sail, so  [tex] A(x)= x (16-x)/2 [\tex] is the function we want to maximıze on [0, 16].

Download pdf
You might be interested in
Simplify the polynomial 3x^2+5x-5x^2-4x+5-2
zepelin [54]
Hope this helps tried to color code it

7 0
3 years ago
What is the area of a rectangle with a length of 7.5 feet and a width of 8 feet?
Pepsi [2]

Answer:

d 60 ft 2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Michael made 9/12 of his free throws at practice. What is 9/12 in simplest form?
riadik2000 [5.3K]
It would be 0.75 as a decimal or 3/4
4 0
3 years ago
Read 2 more answers
Identify the correct corresponding parts
andrey2020 [161]

Answer:

The correct corresponding part is;

\overline {CB} ≅ \overline {CD}

Step-by-step explanation:

The information given symbolically in the diagram are;

ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)

Segment \overline {CA} is congruent to \overline {CE} ( \overline {CA} ≅ \overline {CE})

Segment \overline {CB} is congruent to \overline {CD} ( \overline {CB} ≅ \overline {CD})

From which, we have;

∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∠B ≅ ∠D by CPCTC

Segment \overline {AB} is congruent to \overline {DE} (\overline {AB} ≅ \overline {DE}) by CPCTC

Segment \overline {AE} bisects \overline {BD}

Segment \overline {BD} bisects \overline {AE}

Therefore, the correct option is \overline {CB} ≅ \overline {CD}

3 0
2 years ago
1 inch = 2.5 cm.<br><br> How many inches are there in 17.4?
lions [1.4K]
I believe the answer would be 6.96 cm
7 0
3 years ago
Read 2 more answers
Other questions:
  • A farmer planted corn in a square field. one side of the field measure 32 yards. what is the area of the cornfield? show your wo
    13·1 answer
  • Helpppppppp me please:(
    10·1 answer
  • your annual health insurance premium is $ 3000. your business pays 65% if you are paid weekly what is the paycheck deduction
    12·1 answer
  • 1. A model is made of a car. The car is 10 feet long and the model is 8 inches long. What is the ratio of the
    11·2 answers
  • Express p= k/v as a proportion.
    12·2 answers
  • It is known that the graph of the function y= x goes through the point A(4, −.5). Find k and plot its graph.
    13·1 answer
  • Solve using quadratic equations
    7·1 answer
  • Y is equal to x plus 6 A y=x-6 B y=x+6 C y=x+6 D x=y+6
    6·1 answer
  • Can someone please help me
    14·1 answer
  • In order to make a safe parachute landing from a mountain top, you must be at least 9,000 feet in the air. At the top of Mount M
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!