A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

Answers

Answer 1

Answer:

The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:

2 + 12 > x ⇒ x < 142 + x > 12 ⇒ x > 10x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

Combined together we have:

10 < x < 14

The third side must be between 10cm and 14 cm


Related Questions

2. Find the 6th term of each geometric sequence
9, 45, 225, 1125,...

Answers

Answer:

28125

Step-by-step explanation:

The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].

is my answer rightt!!

Answers

Answer:

Siiiiii

Step-by-step explanation:

pls help asap no wrong answer pls

Answers

Answer:

Answer in explanation

Step-by-step explanation:

Probability of Magic elf =

[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]

Answer:

6.66%

Step-by-step explanation:

There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.

1 of 6
©
Solve
x² - 23x + 132 < 0​

Answers

Answer:

11<x<12

Step-by-step explanation:

I need help, find the area

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 45.5

Explanation:

5 x 7 x 1/2 = 17.5

18 x 7 x 1/2 = 63

63 - 17.5 = 45.5

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

45.5

Step-by-step explanation:

I assume you need the area of the shaded triangle.

area = base * height / 2

A = 13 * 7 / 2

A = 45.5

Help me find measure of angle 1!

Answers

The answer for measure angle 1 is G 60

PLEASE HELP THIS IS MY LAST QUESTION!

Triangle JKL is an equilateral triangle with two of its vertices at points J and K. What are the coordinates of point L? Round to the nearest tenth as needed.

Answers

Answer:

The X coordinate is 6, since it's midway between J and K. If you draw a midline from L, and running to the midpoint of the line JK, you make two right angled triangle. The length of the midline would be the square root of the difference of the squares of six and three, which is 5.20, which is the offset of the Y coordinate of L from the Y coordinate of J and K, which is 2. Add 5.20 to 2 to get the Y coordinate of L as 7.20. L is therefore (6,7.20)

Answer:

(6, 7.2)

Step-by-step explanation:

Since it is an equilateral triangle, all of the side length must be equal.

Therefore, we know the lengths JK = 6 and JL = 6. If h is the height of the triangle, the Pythagoras's theorem says

(JK/2)² + h² = JL²

putting in the values of JK and JL gives

(6/2)² + h² = 6²

3² + h² = 6²

subtracting 3^2 from both sides gives

h² = 6² - 3²

h² = 27

Taking the square root of both sides gives

h =

[tex] \sqrt[3]{3} [/tex]

h = 5.2

With the value of h in hand, we can now read off the coordinates of L.

The x coordinates of L is 6 (count the boxes along the x-axis until you are under L or halfway between J and K).

The y-coordinates of L is 2 + h = 2 + 5.2 = 7.2 ( how far above the x-axis the triangle is plus the height of the triangle).

so i am hqving trouble with a particular question and hoping somebody could help me with it. this is the particular question 47 + 10x = -10x + 7​

Answers

Step-by-step explanation:

given 47 + 10x = -10x + 7

[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]

Can anyone turn this fraction to a decimal i have to have this full sheet of work done by 12:00pm tonight so I need quick answers ASAP!!

Answers

Answer:

6/10 = 0.6

3/25 = 0.12

1/5 = 0.2

14/20 = 0.7

24/50 = 0.48

1/2 = 0.5

8/25 = 0.32

4/10 = 0.4

17/20 = 0.85

6 x 4/8 = 3

6 x 4/12 = 2

8 x 18/8 = 18

Step-by-step explanation:

Evaluate each expression if a = 6, b = 3, and c = 2.

A | 6 + c
B | a - b
C | 2 c
D | a - 1
E | c + 4
F | a/b
G | b ÷ 3
H | ab

Answers

A: 9
B: 3
C: 4
D: 5
E: 6
F: 2
G: 1
H: 18

Just onve more question
same as the other one

Answers

multiply out the brackets 4(5-2x)
4*5=20
4*2x=8x
put this into the equation
20-8x+3=7
- which can also be written as 23-8x=7
by minusing 7 from both sides you get:
16-8x=0
minus 16 from both sides
-8x=-16
from this we can see that x=2

Answer:

x = 2

Step-by-step explanation:

4(5 - 2x) + 3 = 7

Distributive property ,    multiply (5-2x) by 4:

20 -8 x + 3 = 7

Combine like terms:

23 - 8x = 7

Inverse add and subtract:

23 - 7 - 8x + 8x = 7 - 7 + 8x

16 = 8x

Inverse divide:

16/8 = 8x/8

x = 2

Please find the area of this rectangle.

Answers

Answer: third choice  A=6x^2-7x-3 inches squared

Step-by-step explanation:

Area = (2x - 3)(3x + 1)

Multiple terms: first x first, first by second, second by first, second by second
Area = (2x • 3x) + (2x • 1) + (-3 • 3x) + (-3 • 1)

Simplify each term
Area = 6x^2 + 2x - 9x - 3

Combine like terms
Area = 6x^2 -7x -3 squared inches

1. a line that is parallel to y=3/4x-9 has slope m=___________

Answers

parallel means same slope so it’s also 3/4

Answer:

Hi! The answer to your question is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

A motorcyclist leaves City A and rides at a constant speed towards City B, which is 225 km away. After 1.5 hours, the motorcyclist stops a half an hour lunch. To reach City B on time, the motorcyclist increases his speed after lunch by 10km/hour. Find the motorcyclists original speed

Answers

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Answer:50km hope that helped pls mark me brainliest :))

To control an​ infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this​ rate, what would the dosage be for an infant weighing 20.8 ​lb?

Answers

Answer:

To control an infection, a doctor prescribes a dosage of 200 mg of medicine every 8 hours for an infant weighing 12.1 lb. At this rate, what would the dosage be for an infant weighing 20.8 lb?

Step-by-step explanation:

ans :- 7.5 ml

Can someone please help me with this question

Answers

1065 ft^2
Hope this helps

write a number sentence using "of" to describe what portion of the brownie pan with purchased

Answers

Just do the proportions

NEED HELP ASAP
A car rental agency charges $50.00 per day plus $0.18 for each mile driven (x). The total cost for one day's rental can be calculated using the expression below.

$0.18x + $50.00

Using this expression, how much will it cost to rent a car for one day and drive 192 miles?

Answers

Answer:

I think it's $50.18 I'm not sure . hope that I helped you .

Find the perimeter
xin
X + 4 in
Select the correct response:
• P= x2 + 4x in?
O P = 4x + 8 in
O P = 2x + 4 in
O P = 4x + 8 in?

Answers

Answer:

p=X^2+4x

aaaaaaaa is corect a

It depends. If the object is a square, then the perimeter is 4 times the length of the given side. 4x + 16

If it’s a quadrilateral and one side is x and the other side is x + 4, then the perimeter is x + x + (x +4) + (x +4). 4x + 8 inches

Plzz help will mark brainliest don't do it for the points plzz!!!!

Answers

I think the answer is D. Sorry if I’m wrong

Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.

Answers

Answer:

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

==================================================================

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

=================================================================

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

==================================================================

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

==================================================================

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

==================================================================

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

==================================================================

Hope I helped, Have a nice day!

              -Aadi x

I WILL GIVE BRAINLIST!!! PLEASE ANSWER

Answers

Answer:

19/90

Step-by-step explanation:

Maria is training to be a long distance runner. She runs once every day. On the average, each day that Maria has run, she has improved her time by 20 seconds. Today she ran for the fifth time. Her time was 10 minutes 48 seconds. What was Maria's running time the first day she ran?

Answers

Answer:

9 mins and 8 secs

Step-by-step explanation:

(I'll mark brainliest)Sam is planning a birthday celebration for his coworker. He drew the map below to show the places he needs to drive to get party supplies. The 'nap has a scale 1 inch to 25 miles.


Sam is currently at the bakery and his next stop is the florist. What is the actual distance, in miles, between the two places?

A. 10.0

B. 27.5

C 62.5

D.75 0

Answers

The correct answer is letter C

NEED HELP ASAP

What type of function is this: y = 4X ?

1:Quadratic

2:Exponential Growth

3:Exponential Decay

4:Linear

Answers

Answer:

linear

hope this was helpful

please answer this question

Answers

3/8 because half of 8/8 is 4/8 and 4/8-1/8 equals 3/8

Answer:

0.3

Step-by-step explanation:

BRAINLIEST TO CORRECT

Answers

Answer:

Step-by-step explanation:

4.019<口<4.192

Can y’all help me pls

Answers

Answer:

4.192

Step-by-step explanation:

it the one that is the right side

Evaluate 8d, when d=12

Evaluate 75/d (75 divide by d), when d = 5

Evaluate 6p^2 + 8(6 times p to the second power plus 8), when p = 4

Answers

Answer:

9615104

Step-by-step explanation:

Given:

d = 12 find 8dd = 5 find 75/dp = 4 find 6p² + 8

Computation:

d = 12 find 8d

8(12)

96

d = 5 find 75/d

75 / 5

15

p = 4 find 6p² + 8

6(4)² + 8

6(16) + 8

96 + 8

104

Help QUICK! Pointless answers will be reported.
A model car is drawn at a scale of 21 to 1. If the model car is 9.2 in long, how long is the actual car in feet?

Answers

The actual car is 193.2ft long
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