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
Lesechka [4]
3 years ago
9

Nautical flags are used to represent letters of alphabets. The flag for the letter O consists of a yellow right triangle and a r

ed right triangle joined together along their hypotenuse to form a square. The joint hypotenuse of the two triangles is three inches longer than a side of the square. Find the length of a side of the flag. Round your answer to the nearest tenth.

Mathematics
2 answers:
liraira [26]3 years ago
6 0

Answer:

The length of a side of the flag is 7.2inches

Step-by-step explanation:

Let length = x

Let hypotenuse = x+3

Using Pythagoras' Theorem:

x^2 + x^2 = (x+3)^2

x^2 + x^2 = x^2 + 6x + 9

2x^2 = x^2 + 6x + 9

×^2 - 6x - 9 = 0

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}

x=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)

×=[6+sqrt.72]/2

×=7.2inches

×=[-(-6)+sqrt.(-6)^2-4(1)(-9)]/2(1)

x=[6-sqrt.72]/2

×=-1.2(rej)

(PS. sqrt is square root)

(Correct me if i am wrong)

joja [24]3 years ago
5 0

Answer:

7.2 in

Step-by-step explanation:

Let length of side of flag=x

Hypotenuse of right triangle=x+3

According to question information

(x+3)^2=x^2+x^2

Using Pythagoras theorem

(hypotenuse)^2=(base)^2+(perpendicular\;side)^2

x^2+6x+9=2x^2

Using identity: (x+y)^2=x^2+y^2+2xy

2x^2-x^2-6x-9=0

x^2-6x-9=0

Using quadratic formula :x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{6\pm\sqrt{(-6)^2-4(1)(-9)}}{2(1)}

x=\frac{6\pm\sqrt{36+36}}{2}

x=\frac{6\pm\sqrt{72}}{2}

x=\frac{6\pm6\sqrt2}{2}

x=\frac{6+6\sqrt2}{2}=3+3\sqrt2=7.2

x=\frac{6-6\sqrt2}{2}=3-3\sqrt2

x=-1.24

It is not possible because the length of side is always positive.

Hence, the side of flag=7.2 in

You might be interested in
Which of the following equations is equivalent to s=πr^2h
suter [353]

Answer:

h = s / π.r²

Step-by-step explanation:

the given equation is s = π.r².h

Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.

This only possible when we divide term on both the sides by π.r²

s/π.r² = π.r².h/π.r²

h = s / π.r²

Therefore h = s / π.r² is the right option.

5 0
3 years ago
Read 2 more answers
How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors
siniylev [52]

Answer:

4 (2 + 9)

Step-by-step explanation:

  Given expression:

              8 + 36

The greatest common factor is the highest number that divides a number:

8 and 36 ;

  Factors of 8 : 1,2,4, 8

                  36 : 1, 2, 3, 4, 9, 18, 36

The highest common factor is 4;

  8 + 36  = 4 (2 + 9)

7 0
3 years ago
Please try to explain the answer and I'll mark the Brainliest.
laiz [17]

Inside a triangle, all inside angles add up to 180°

So, add the two angles:

26.4°+33.7°=60.1°

180°-60.1°=119.9°

b=119.9°

6 0
3 years ago
Read 2 more answers
Pls help pls help pls help
aliya0001 [1]
Sin C= 3/5
Your answer would be A
7 0
2 years ago
To solve m/-2+11=14 what steps would you use
Butoxors [25]
M÷-2+11=4
m÷9=4
m=4*9
m=36
5 0
3 years ago
Other questions:
  • Please help x
    9·1 answer
  • The ratio of people who own a smart phone to the people who own a flip phone is 4:3 if 500 more people own a smart phone than a
    8·1 answer
  • The product of a number and 2/3 is 9/10. What is the number?
    13·2 answers
  • What is the slope of the line described by the equation below y-5=-3(x-17)
    15·2 answers
  • Can someone see if this is right
    6·2 answers
  • 13x-1=9x-13 what is x
    8·1 answer
  • The average mail carrier walks 4.8 kilometers in a workday. how far do most mail carrier walk in 6-day week? there are 27 workin
    5·1 answer
  • Find the 98th term of the arithmetic sequence 14, 10, 6, ...
    9·2 answers
  • A function has the function rule y = x - 7. If the input is 4, what is the output?
    5·1 answer
  • PLEASE HELP WITH THESE QUESTIONS
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!