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
sergeinik [125]
3 years ago
5

The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square fe

et, find its height and the length of the base.
Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

You might be interested in
tickets to the country fair cost $8 each. Seventy people bought their tickets at the gate. The revenue ticket sales was $ 2,560.
Gelneren [198K]

Answer:

70 people

Step-by-step explanation:

It literaly says it in the question.

5 0
3 years ago
Math Questions :3 thank uu <3
coldgirl [10]
14.       1.5, 10    <- Answer
15.       5,1          <- Answer

Proof 14 

Solve the following system:
{2 x - y = -7 | (equation 1)
4 x - y = -4 | (equation 2)
Swap equation 1 with equation 2:
{4 x - y = -4 | (equation 1)
2 x - y = -7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x - y = -4 | (equation 1)
0 x - y/2 = -5 | (equation 2)
Multiply equation 2 by -2:
{4 x - y = -4 | (equation 1)
0 x+y = 10 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = 6 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 3/2 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = 1.5               
                y = 10

Proof 15. 

Solve the following system:
{5 x + 7 y = 32 | (equation 1)
8 x + 6 y = 46 | (equation 2)
Swap equation 1 with equation 2:
{8 x + 6 y = 46 | (equation 1)
5 x + 7 y = 32 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:{8 x + 6 y = 46 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Divide equation 1 by 2:
{4 x + 3 y = 23 | (equation 1)
0 x+(13 y)/4 = 13/4 | (equation 2)
Multiply equation 2 by 4/13:
{4 x + 3 y = 23 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 20 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer:  {x = 5                           y = 1
8 0
3 years ago
Please help me on this problem I don't know how to do it.
quester [9]
1: establish the angles, basically label one x (the small one) and the other y (the bigger one)

2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.

3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8

4. plug in the equation of the bigger one into the other equation

x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180

5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47

6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133

i hope i explained it alright
7 0
3 years ago
| x | &lt; 2 <br><br> solve the inequality and then graph the solution
anzhelika [568]

Answer:

Any number smaller than 2

Step-by-step explanation:

You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2

3 0
2 years ago
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N. N
S_A_V [24]

Answer:

N = {13, 15, 17, 19}

Step-by-step explanation:

The natural numbers greater than 11 and less than 21 are:

12, 13, 14, 15, 16, 17, 18, 19 and 20

Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.

Since N is the set of odd natural numbers greater than 11 and less than 21,

N = {13, 15, 17, 19}

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the volume of the figure?
    14·1 answer
  • Help plz.......................!
    11·1 answer
  • Can some help me pls<br> And fact
    12·2 answers
  • The police department in Mansville employs 54 men and 36 women. What percent of the total are men? What is the answer to this qu
    6·2 answers
  • 0.6 is 10 times as much as what
    14·2 answers
  • Red kangaroos can reach speeds up to 50 feet her
    5·2 answers
  • (30 Points! Please explain your answer)
    6·1 answer
  • A teacher chooses a committee of 5 students
    6·2 answers
  • There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the entire cake will each friend rece
    10·2 answers
  • George takes a photograph of a rectangular window that is 312 feet tall and 134 feet wide. He prints the photograph on paper so
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!