A triangle has one side that is 6 units long and another side that is 3 units long.

Which of the following could be the length of the third side?

2 units
3 units
4 units
6 units
8 units
10 units

Answers

Answer 1

The possible value of the third length is an illustration of Triangle inequality theorem

The possible third lengths are 4 units and 6 units

How to determine the possible length of the third side?

To determine the third length, we make use of the following Triangle inequality theorem.

a + b > c

Let the third side be x.

So, we have:

x + 6 > 3

x + 3 > 6

3 + 6 > x

Solve the inequalities

x > -3

x > 3

x < 9

Remove the negative inequality value.

So, we have:

x > 3 or x < 9

Rewrite as:

3 < x or x < 9

Combine the inequality

3 < x < 9

This means that the possible value of the third length is between 3 and 9 (exclusive)

Hence, the possible third lengths are 4 units and 6 units

Read more about Triangle inequality theorem at:

https://brainly.com/question/2403556


Related Questions

NO LINKS!!

You want to make a banner that says HAPPY BIRTHDAY. You want the letters to be 3 inches high. You make a sketch of the banner with letters that are 2 inches high. The length of the phrase in your sketch is 20 inches long. What length of paper should you buy to make the banner? ​

Answers

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

[tex]\sf \implies 2 : 20 = 3 : x[/tex]

[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]

[tex]\sf \implies 2x=3 \cdot 20[/tex]

[tex]\sf \implies 2x=60[/tex]

[tex]\sf \implies x=\dfrac{60}{2}[/tex]

[tex]\sf \implies x=30[/tex]

Therefore the length of paper your should buy to make the banner is 30ft.

Arkansas is __________ of Oklahoma?

Answers

Answer:

East

Step-by-step explanation:

Arkansas is East of Oklahoma.

Refer to the image below:

Answer: East

Step-by-step explanation:

70 points and brainliest if the answer is correct

5^4x5^7

A. 125^11
B. 15^11
C. 5^28
D. 5^11

Answers

Answer:

Option D

Step-by-step explanation:

If the bases are the same in a multiplication problem, then you can simply add the exponents. (i.e., a² × a⁶ = a²⁺⁶ = a⁸)

[tex]\bullet \rightarrow 5^4\times5^7[/tex]

[tex]\bullet\rightarrow 5^{4 + 7}[/tex]

[tex]\bullet \rightarrow \boxed{5^{11}}[/tex]

Answer: D

Step-by-step explanation:

5^4 x 5^7

You will add the exponent 4 + 7 = 11

You will keep your base 5^11

Shannon has a paper cone filled with water. The cone has a diameter of 8 centimeters and a height of 9 centimeters. Select the containers that could hold all of the water in Shannon's paper cone

Answers

You forgot to upload a picture of the options!

90 is the product of five and Diego’s age use a variable D to represent Diego’s age

Answers

Answer:

Deigo is 18years of age

explaination

[tex]5 \times d = 90 \\ 5 d = 90 \\ 5d \div 5 = 90 \div 5 \\ d = 18[/tex]

this is how to solve it.

How do I get the answer??

Answers

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

√45 can be written as √9 * √5 (using the rule √ab = √a * √b)√9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

3√5 + √5√5 + √5 + √5 + √54√5

Now using the same rule as above, we can multiply the values:

√2(4√5)4√10

Your solution is 4√10

4 2/3 divided by 1 1/9

Answers

Answer:

4.2 or 21/5

Step-by-step explanation:

i used demos

Answer:

4 1/5

[tex]\frac{14 * 9}{3 * 10} = \frac{126}{30}~which~is~also~4\frac{1}{5}[/tex]

A manager drew this box-and-whisker plot to represent the ages of the company’s 240 employees. How many employees are younger than 42?

24
48
60
75

Answers

Answer:

its 60, need proof?

Step-by-step explanation:

Answer: 60

Step-by-step explanation: I took the test and got it right. Goodluck with the rest!

Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo

Answers

Answer:

$69.60

Step-by-step explanation:

enter the correct value in each box to write the equation of the trend line in slope-intercept form

Answers

Answer:

y = -3x +15

Step-by-step explanation:

(2,9) (4,3)

slope is -6/2 or -3

use slope intercept form to solve for y-intercept

y = mx + b

9 = (-3)(2) + b

9 = -6 + b

15 = b

y = -3x + 15

PLEASE EXPLAIN

Why is the unit in volume measured with units cubed instead of units squared?

Answers

Answer:

It's cubic because volume occupies a three dimensional space. Area is measured in a second unit of length

Step-by-step explanation:

Answer:

Volume is 3 dimensions

Step-by-step explanation:

Cubed is 3 dimensions: length, width, and height - like measuring how much water will fit in a cup. Squared is only 2 dimensions - like when you measure a piece of paper or a floor tile or a piece of fabric.

A trough contains a certain amount of sand. After Jamie used it to fill 2.4-kilogram bag, a 650- gram bowl, and a 3-kilogram, 125- gram pail, she realized she had a kilogram of sand left in the trough. How much sand was in the trough at first?Give your answer in grams, using a comma.

Explain how you got your answer

Answers

Answer:

7kg  275g

Step-by-step explanation:

hope this helps

Answer:

7kg 275g

Step-by-step explanation:

Add all of them together and then add what's left. Hope this helps! :)

Help picture below problem 8

Answers

Solution :-

Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.

And we know that vertically opposite angles measure same. Thus,

∠2 = 135°

Hope that helps ~~~

What percent of 1/4 is 1/5
5%
16%
24%
80%

Answers

[tex]\text{Let it be x percent}\\ \\\dfrac 14 \times x\% = \dfrac 15\\\\\\\implies\dfrac 14 \times \dfrac x{100} = \dfrac 15\\ \\\\\implies x = \dfrac{400}{5} = 80\\\\\\\text{Hence the answer is}~ 80\%[/tex]

The equation is :

Answer x =

Answers

Answer:

4x-11=73,

x=21

Step-by-step explanation:

11 subtracted from means -11

four times a number means 4(x) because x is the number

is = equals

so

4x-11=73

+11      +11

4x=84

/4    /4

x=4

The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the area of the roof? What is the lateral area of the roof?

Answers

Answer:

The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2

Step-by-step explanation:

The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:

A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.

As I stated earlier, the lateral area of the roof can be computed:

A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.

HELP 50pts!!!!!!!!!!

Answers

Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]

Here:

distance : 22.5 kmspeed : 9 km/hr

[tex]\hookrightarrow \sf \dfrac{22.5}{9}[/tex]

[tex]\hookrightarrow \sf 2.5[/tex]

The difference is
Part B 287
Find the product of the expressions.

Answers

Answer:

12

Step-by-step explanation:

Today Zack sold twice as many bags of popcorn at the ball game as he sold last Saturday. In the 2 days he sold a total of 96 bags. Write a system of equations to determine s, the number of bags Zack sold last Saturday, and t, the number of bags he sold today?

Answers

Answer:

[tex]s=32\\t=64[/tex]

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

Step-by-step explanation:

Start by determining what information the question gives us, and what we need to find.

Given:

Zack sold twice as many bags of popcorn as he sold last Saturday

He sold 96 bags altogether in the 2 days

Find:

s, number of bags he sold last Saturday

t, number of bags he sold today

Equation/System of Equations:

[tex]t=2s[/tex] (OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)

[tex]t+s=96[/tex] (OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)

Solve:

We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...

[tex]2s+s=96\\3s=96[/tex]

Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.

[tex]s=\frac{96}{3}\\s=32[/tex]

Substitute 32 in for "s" to solve for "t"...

[tex]t=2s\\t=2(32)\\t=64[/tex]

Answer:

Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.

The volume of a bottle of water is 950 milliliters. What is the volume of 5 bottles in
Liters?

Answers

Answer:

the answer is 4,750

Step-by-step explanation:

just multiply 950x5

950x5 =4,750 That would be the answer of the volume of five water bottles in meters

how many part time and full time employees does the company have?

Answers

Answer:

there are 36 part time employees and there are 144 full time employees

Step-by-step explanation: multiply 45 by 4

then multiply 180 by 0.2 to get 36 and 180 by 0.8 and get 144

Which of the following equations has no solution?
1: 3x=5
2: 5x+7=3
3: 4x=9x
4: x=x−2

Answers

Answer:

4

Step-by-step explanation:

3x = 5:

x = 1 ⅔

5x + 7 = 3

5x = 3- 7

5x = -4

x = -⅘

4x = 9x

9x - 4x = 0

5x = 0

x = 0 / 5

x = 0

x = x - 2:

x -x = -2

0 = -2?

Answer:

4

Step-by-step explanation:

Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2

Q13
A man has a flight at 19:15 on Thursday. He must arrive at the airport 2 hours before this time to
check in.
He needs to know what time he should leave home.
He will park his car at the airport car park and it will take 15 minutes to get to the check in counter.
The distance from his house to the airport is 90 miles.
He will drive at an average of 60miles per hour.

Answers

Answer: around 6 or 5 o clock

Step-by-step explanation: hope this helps

Please solve with explanation

Answers

Try this option, all the details are in the attachment. Note the equation a) is performed with green, the equation b) with red line.

With break green line is the cureve y= -x²; with break red line is y=2x².

A building that is 150 ft tall casts a shadow of 20 feet long.
At the same time a tree casts a shadow of 2 ft. How tall is
the tree?

a. 15

b. 20

c. 25

d. 30

Answers

Answer:

a.15 feet

Step-by-step explanation:

150 divided by 20 is 7.5

7.5 times 2 is 15

the ratio of the length to the width to the height of an open rectangular tank is 10:5:8. The height of the tank is 18 feet longr than the width. wat is the volume of the tank?

Answers

Answer:

4556.25

Step-by-step explanation:

10:5:8=x:y:18

18/8=2.25

x=2.25x10=22.5

y=2.25x5=11.25

11.25x22.5x18=4556.25

Match each equation to the situation it represents.

Answers

Answer:

First one is 10x + 5 = 35

Second one is 5x + 10 = 35

Third one is 35x + 5 = 10

help plsssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

g(40 or more)

Step-by-step explanation:

30 represents the median or the 50% mark so it cant be this

60 represents the highest amount of minutes. so this is unlikly

40  represents the hqr or the median between 30 and the max. this means that you now have 50% of 50% or 25%

Find the highest common factor (HCF) of 270 and 450.

Answers

Answer:

HCF = 90

Step-by-step explanation:

Hope it Helps!!!

Brainliest if correct

Answers

Answer:

correct answer here

Step-by-step explanation:

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