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timurjin [86]
3 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]3 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].

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Choose one answer please help me
damaskus [11]

Answer:

B 10 times smaller so you were right

3 0
3 years ago
I don't get it please help
Elis [28]
2, (double) 4, (double) 8 (double) 16, So 16 in week 4
2+4+8+16 = 30
5 0
3 years ago
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Can someone please help?
Ber [7]

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

5 0
2 years ago
What are the last 2 digits of 7 to the power of 2018. This question was on a past exam paper.
Xelga [282]

Answer:

49

Step-by-step explanation:

  • Try finding pattern of last two digits of 7 to the power of some numbers.

7^1=07

7^2=49

7^3=343

7^4= 2301

7^5= 16807

  • so , the pattern is, 07,49,43,01
  • so, if we start writing all numbers from 1 to 2018 , four number in each line, 2018 will fall in the second column.
  • so it will have 49 as the  last 2 digits [by seeing this pattern : 07,49,43,01 ]
6 0
3 years ago
A movie theater charges $5 for an adult ticket and $2 for a child's ticket. One Saturday, the theater sold 785 tickets for $3280
Nadya [2.5K]

Answer:

5x + 2y = 3280

x+y = 785

x = 785 - y

5*(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

3925 - 3280 - 3y = 0

645 = 3y

y=645/3=215

x=785-215 = 570

Adults - 570 tickets, childs - 215 tickets.

570*5 + 215*2 = 3280

570 adult and 215 child and 3,280 in total

if i could get brainliest that would be great

6 0
3 years ago
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