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
ehidna [41]
3 years ago
12

Describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 12 feet and 18

feet.
I attached the picture too.

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

Answer:

6 ft < L₃ < 30 ft

Step-by-step explanation:

To obtain the answer to the question given above, we must bear in mind that:

The sum of the length of two sides of any triangle is always greater than the 3rd length i.e

L₁ + L₂ > L₃

With the above information in mind, we can obtain the answer to the question given above as follow:

Length 1 (L₁) = 12 feet

Length 2 (L₂) = 18 feet

Length 3 (L₃) =..?

Case 1:

L₁ + L₂ > L₃

12 + 18 > L₃

30 > L₃

L₃ < 30 feet

Case 2:

L₁ + L₃ > L₂

12 + L₃ > 18

Collect like terms

L₃ > 18 – 12

L₃ > 6 feet

Thus,

6 feet < L₃

Combining case 1 and 2,we obtained:

6 ft < L₃ < 30 ft

Therefore, the possible Lenght of the 3rd side is : 6 ft < L₃ < 30 ft

You might be interested in
Solve the following Simultaneous equation<br>Using any suitable method<br> x+6y=2, 3x +2y =10​
uranmaximum [27]

Answer:

x = 0.5

y = -1/4 or -0.25

Step-by-step explanation:

x + 6y = 2

3x + 2y = 10

Multiply a number by any of the equations to get numbers of the same variable

3x + 18y = 6

3x + 2y = 10

3x - 3x = 0

NB: subtract evenly if u subtract down from top make sure u subtract down from top throughout

16y = -4

16y/16 = -4/16

y = -1/4 or -0.25

to find the x value, any where you see y u put in the y value(-0.25)

So u'll pick just one of the equations above

x + 6(0.25) = 2

x + 1.5 = 2

x = 1.5 + 2

x = 0.5

5 0
3 years ago
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos
Gnoma [55]

The converted fractions are 3/12 and 5/12 and the sum is 2/3

<h3>How to convert the fractions?</h3>

From the question, the fractions are given as

1/4 and 5/12

The denominators of these fractions are

4 and 12

So. we start by calculating the LCD of the denominators

So, we have

4 = 2* 2

12 = 2 * 2 * 3

This gives

LCD = 2 * 2 * 3

Evaluate

LCD = 12

This means that the common denominator must be 12

So, we have

1/4 and 5/12

Multiply 1/4 by 3/3

This gives

3/12 and 5/12

When the fractions are added, we have

3/12 + 5/12 = (3 + 5)/12

Evaluate

3/12 + 5/12 = 8/12

Reduce fraction

3/12 + 5/12 = 2/3

Hence, the sum of the fractions is 2/3

Read more about fractions at

brainly.com/question/1622425

#SPJ1

8 0
1 year ago
giá tiền cước của một hãng taxi được tính như sau :giá mở đến 1km đầu là 12000 đồng ; 10500 đồng/km cho 20 km tiếp theo và 99000
dolphi86 [110]

<em>Answer:</em>

<em>Ông sáu sẽ mất 4281000 đồng</em>

8 0
3 years ago
HELP
Sonbull [250]

Answer:

A. 121 ⇒ III. 11

B. 64 ⇒ II. 4 and IV. 8

C. 27 ⇒ I. 3

D. 125 ⇒ V. 5

E. 16 ⇒ II. 4

Step-by-step explanation:

Let us find the correct answer

∵ 121 = 11 × 11

∴ The square root 121 is 11

∴ A. 121 ⇒ III. 11

∵ 64 = 8 × 8

∴ The square root of 64 is 8

∵ 64 = 4 × 4 × 4

∴ The cube root of 64 is 4

∴ B. 64 ⇒ II. 4 and IV. 8

∵ 27 = 3 × 3 × 3

∴ The cube root of 27 is 3

∴ C. 27 ⇒ I. 3

∵ 125 = 5 × 5 × 5

∴ The cube root of 125 is 5

∴ D. 125 ⇒ V. 5

∵ 16 = 4 × 4

∴ The square root of 16 is 4

∴ E. 16 ⇒ II. 4

5 0
3 years ago
Help with #19 plzzz!!!???
Olegator [25]
Do "42 + 12" Since 7 x 6 is 42 and 4 x 3 is 12.
5 0
3 years ago
Other questions:
  • Find the slope of a line whose equation is 3X+6Y=9
    7·1 answer
  • Meat served = chicken Serving size = 6 oz. Pounds of chicken available = 66 Number of servings = ______.
    10·2 answers
  • The perimeter of a triangle is 28 ft. The medium side is 4 ft longer than the shortest side,while the longest side is twice as l
    10·1 answer
  • (1 point) The parabola given by the equation y=−x2+10x−23 has its vertex at (h,k) for:
    10·1 answer
  • Brynn and Denise launch their rockets at the same time. The height of Brynn’s rocket, in meters, is given by the function f(x)=−
    6·1 answer
  • Problem #<br> answeri:<br> 20 m<br> 16 m<br> 16 m<br> 16 m<br> Work:
    13·1 answer
  • 3. There are 12 seals, 4 whales, and 8 dolphins at the aquarium. Complete the picture graph to show the data.​
    14·1 answer
  • Laura is bowling 5 games. Her first 4 scores were 103, 143, 101, and 110.
    10·1 answer
  • BC is a secant intersecting the circle at point X: The figure shows a circle with points A and B on it and point C outside it. S
    11·2 answers
  • Solve this question <br>NO SPAM​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!