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
BabaBlast [244]
3 years ago
13

A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side.

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x -----> the possible lengths of the third side

Applying the Inequality Theorem

1) 12+8 > x

20 > x

Rewrite

x < 20 in

2) 8+x > 12

x> 12-8

x > 4 in

therefore

4 in < x < 20 in

The possible lengths of the third side is all real numbers greater than 4 inches and less than 20 inches

You might be interested in
What is the value of y?
SVETLANKA909090 [29]

Answer:

c

Step-by-step explanat

8 0
3 years ago
4 1/4 divided by 2/7<br><br> (x+8)-(3x- 5)<br><br> Explain how you got the answer!!!!!
Dmitry_Shevchenko [17]

Turn it to improper fractions.

4 1/4 divided by 2/7

Divide them.

17/4 divided by 2/7

17      2     17 x 7

--- ÷  --- = --------- = 119/8 OR 14 7/8

4       7      4 x 2

-----------------------------------------------------

Distribute to take out the parentheses.

(x + 8) - (-3x - 5)

Combine like terms.

x + 8 + 3x + 5

Answer.

4x + 13

8 0
3 years ago
Find the slope of the line through the given points.<br> (-2,6) and (2,-2)
Elenna [48]

Answer:

-2

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -2-6)/(2- -2)

   = ( -2-6)/( 2+2)

   -8/4

   -2

4 0
3 years ago
Read 2 more answers
A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?
insens350 [35]

Answer:A Idk if this is right!

6 0
3 years ago
What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

5 0
2 years ago
Other questions:
  • There are a total of 56 students in the math club and the games club. The math club has 4 more students than the games club. Wri
    5·1 answer
  • For which value of c is the line y=3x+c a tangent to the parabola with equation y=x^2-5x+7
    5·1 answer
  • Between what 2 consecutive integers does /35 lie
    9·1 answer
  • Deon split 4/5 pounds of candy among 5 people.
    14·1 answer
  • Does this graph represent a function? Why or why not?
    10·1 answer
  • In one school, a half of all students who like math like science as well. Also, in that school, a third of all students who like
    14·1 answer
  • Triangle KLM is translated to units right and one unit up to create triangle KLM which rule describes the transformation
    8·1 answer
  • The cost of 6sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?
    7·1 answer
  • Each Saturday morning, Beau practices throwing pitches to his dad. His dad estimates the probability of each pitch Beau throws b
    8·1 answer
  • Find the product or type<br> "impossible".<br> 1 -2<br> -3 4<br> 3 4 2 -7
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!