A triangle has one side that measures 1 foot and another side that measures 20 inches. What are possible lengths of the third side? (Select all that apply.)
6 inches
13 inches
28 inches
36 inches​

Answers

Answer 1

Answer:

The correct options for the possible lengths of the third side are;

13 inches

28 inches

Step-by-step explanation:

The given lengths of two sides of the triangle are;

The length of one side of the triangle = 1 foot = 12 inches

The length of the other side of the triangle = 20 inches

The question can be solved by the triangle inequality theorem as follows;

A + B > C

B + C > A

A + C > B

Let the given sides be A = 12 inches and B = 20 inches

We have;

12 + 20 = 32 > C

Therefore, by the triangle inequality theorem, the third side, 'C', is less than 32 inches

Similarly, when C = 6 inches, we have;

A + C = 12 + 6 = 18 < B = 20

Therefore, the third side cannot be 6 inches

when C = 13 inches, we have;

A + C = 12 + 13 = 25 > B = 20

Therefore, the third side can be 13 inches

when C = 28 inches, we have;

A + C = 12 + 28 = 30 > B = 20

Therefore, the third side can be 28 inches

Answer 2

Based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

The Triangle Inequality Theorem

The triangle inequality theorem states that, sum of the length of any two sides of a given triangle = length of the third side.

Given the measures,

1 ft = 12 iches20 inches

The possible third side must make the three set of numbers conform to the triangle inequality theorem.

Thus, for 13 inches, we have:

13 + 12 > 20; 12 + 20 > 13; 20 + 13 > 12

Also, for 28 inches, we have:

28 + 12 > 20; 12 + 20 > 28; 20 + 28 > 12

Therefore, based on the triangle inequality theorem, the possible lengths of the third side of the triangle are: 13 inches and 28 inches.

Learn more about triangle inequality theorem on:

https://brainly.com/question/26037134


Related Questions

mrs moore is doing laundry and has various pieces of clothing in her laundry basket. what is the probability of selecting a top rather than a bottom ( 3 pants and 1 top)

Answers

not likely but maybe lets say their was more clothes there would still be more pants

What is the best estimate of the area of the figure in square inches?

Answers

Answer:

100.26 squared inches

Step-by-step explanation:

(πr²)/2 + lb + (bh)/2

= 28.26 + 60 + 12

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the follow expression, c represents the original cost of the coffee pot. C- 0.2c
Which other expression could kelly use to calculate her cost before sales tax?
A. 0.8c
B. 1.2c
C. 1.8c
D. 80c​

Answers

A had it before tee her

I will give you 15 points

Answers

Answer: A, D

Step-by-step explanation:

evaluate the expression 2x+6 if x = 4

Answers

2(4)+6
8+6
=14
you’re welcome :)

Answer What is the value of p in the linear equation

−4
−2
2
4

Answers

More information please

Write an inequality to represent each sentence.
1. A number cis at least 12.

Answers

Answer:

n ≤ 12

Step-by-step explanation:

The variable n represents a number. Since you see the phrase “at least” that means that it could be less than, or equal to that number. Therefore, the inequality to represent this sentence is n ≤ 12.

I hope this helps you :D

A line graph titled Car Mileage for a Hybrid Car has number of gallons on the x-axis, and number of miles on the y-axis. 1 Gallon is 60 miles, 2 gallons is 120 miles, 3 gallons is 180 miles, and 4 gallons is 240 miles.
What is the value of y when the value of x is 1?
Free 50 pts its [60]

Answers

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

A rectangular prism has a length of 2 inches, a width of 4 1/6 inches and a height of 6 inches. What is the volume of the figure?

Answers

Answer:

K

Step-by-step explanation:

Please help i am very confused

Answers

Answer:

[tex]\sqrt{80}[/tex]

80 is the number in the square root

Step-by-step explanation:

[tex]d = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} } \\d = \sqrt{(4-(-4) )^{2} +(5- 1 )^{2} }\\d = \sqrt{(4+4 )^{2} +4^{2}\\d = \sqrt{8^{2} +4^{2} }\\d=\sqrt{64 +16}\\d=\sqrt{80}[/tex]

please help asap also brainly

Answers

It’s number 1 I know because I took the quiz

What Percent of 25 is 10 ?

Answers

Answer:

40

Step-by-step explanation:

Answer:

40% (see below)

Step-by-step explanation:

First, make a ratio to simplify your situation:

Think about it like this:

If 25 is 100%, and the question is asking me for 10, which is x%, then what is x%?

Here's what I'm talking about:

10               x%

------    =    --------

25            100%

Now, just cross multiply and simplify:

1000 = 25x

   40 = x

      x = 40

To check your answer, you can multiply 25 by 0.4 (the decimal form of 40%) to see if it worked because 40% of 25 is 10:

25 (0.4)

   10


Help help help help help

Answers

Answer:

The equation of the line is:

y = 3x

Step-by-step explanation:

Given the table

x             y

0            0

1             3

2            6

3            9

4            12

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Taking the two points from the table

(1, 3)(2, 6)

Determining the slope between (1, 3) and (2, 6)

(x₁, y₁) = (1, 3)

(x₂, y₂) = (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 3] / [2 - 1]

               = 3 / 1  

               = 3

Thus, the slope of the line = m = 3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

now substituting m = 3 and b = 0 in the slope-intercept form of the line equation

y = mx + b

y = 3x + 0

y = 3x

Therefore, the equation of the line is:

y = 3x

The graph of the line equation y = 3x is also attached.

please help me on this will give you brainliedt

Answers

Answer:

x = 38

Step-by-step explanation:

Exterior Angle Theorem

x + 99 = 137

subtract 99 from both sides and...

x = 38!

Answer:

137-99 would equal the missing angel which is 38°

Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?

Answers

Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation:


The marked price of an article is Rs 2,800 which is 40 % above the cost price. If it
is sold by allowing 20 % discount, what will be the profit percent?

Answers

Answer:

mp=2800

mp=cp+40%ofcp=cp+40/100×cp=1.4cp

2800=1.4çp

cp=2800/1.4=2000

discount=20%

profit%=?

Step-by-step explanation:

sp=mp-discount%of mp=2800-20/100×2800=2240

profit=sp-cp=2240-2000=240

profit%=profit/cp×100%=240/2000×100%=12%

A cone has volume 12pie cubic inches. Its height is 4 inches. What is its radius?
A.) 6 inches
B.) 4 inches
C.) 12 inches
D.) 3 inches​

Answers

Answer:

r = 3

Step-by-step explanation:

The formula of a volume of a cone

V= 1/3 pie r^2 H

r - radius

H - height

We have V = 12π in³ and H = 4 in. Substitute:

The radius of the cone is 3 inches

Volume of a conev = 1 / 3 πr²h

where

h = height

r = radius

Therefore,

v = 12π

h = 4

12π = 1 / 3 × π × r² × 4

12 = 4  /3  r²

36 = 4r²

r² = 36 / 4

r = √9

r = 3 inches

learn more on cone here:https://brainly.com/question/9837241

Answer if correct 70 points Brainly

Answers

Answer:

I am not very sure, but I think the answer is

D.

Answer:

answer is d becuase i took the test and got it right

Step-by-step explanation:

the link is visable tho

Given f(x) = 2x2 - 4, what is f(3)

Answers

Answer:

x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

just plug in 3 for x

2*3^2-4 = 18-4 = 14

lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball

Answers

Answer:

The radius of the ball is 3.48 cm

Step-by-step explanation:

Density

The density of a substance is the mass per unit volume. The density varies with temperature and pressure.

The formula to calculate the density of a substance of mass (m) and volume (V) is:

[tex]\displaystyle \rho=\frac{m}{V}[/tex]

The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:

[tex]\displaystyle V=\frac{m}{\rho}[/tex]

[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]

[tex]V=176.2115\ cm^3[/tex]

Since the shape of the object is a sphere, and the volume of a sphere of radius r is:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

We can solve for r and obtain:

[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Substituting:

[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]

[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]

[tex]\boxed{r=3.48\ cm}[/tex]

The radius of the ball is 3.48 cm

What is the value of s? Please show work

Answers

Answer:

S = 15

That the answer :) .

Answer:

s=90°

Step-by-step explanation:

a triangle always gives 180°, so 180°-(47°+43°)= 180°-90=90°

s=90°

hope this helps

17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.

pleaaeee help

Answers

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Find 3 ratios that are equivalent to the given ratio.
12:14

Answers

6:7
24:28
48:56
to find ratios that are equivalent to any given ratio you can just divide or multiply both numbers by the same number, like for 2:3, just multiply both numbers by 2 and you'll get 4:6 which is an equivalent ratio

how do you find valume in a square.

Answers

Answer:

Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.

Step-by-step explanation:

Since each side of a square is the same, you can just multiply each side. For example if a square had one side of 4 inches, just multiply 4 inches 4 times

2.72603 in two decimal place

Answers

Answer :2.73
Always look at the third decimal place and if it’s 5 or above then make the second digit bigger by 1

At a given high school, the probability that a student is taking a geometry class is 0.24. The probability that a student is taking a chemistry
class and a geometry class is 0.18.
If a student is taking a geometry class, what is the probability that the student is also taking a chemistry class?

Answers

Answer:

0.24

Step-by-step explanation:

What is the value of y=10x+2 when x=4

Answers

Answer:

y = 42

Step-by-step explanation:

Given

y = 10x + 2 ← substitute x = 4

y = 10(4) + 2 = 40 + 2 = 42

Answer:

=42

Step-by-step explanation:

y=10(4)+2

10 x 4 = 40

40 + 2 = 42

y=42

what are the factors to 424,380

Answers

Answer:

the factors are:  1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 643, 660, 1286, 1929, 2572, 3215, 3858, 6430, 7073, 7716, 9645, 12860, 14146, 19290, 21219, 28292, 35365, 38580, 42438, 70730, 84876, 106095, 141460, 212190, 424380.

Step-by-step explanation:

Question 2

If MNP = 107, what is NMQ?

Answers

Answer:

73 degrees

Step-by-step explanation:

73 degrees is the answer i think

find the scale factor

Answers

2 because the one side doubled and what happens to 1 side happens to them all, so 2

Answer:

2 is ur answer.

hope it helps you.

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