A triangle has two sides with lengths 7 and 12 which of the folowing lengths could represent the third side

Answers

Answer 1

Answer:

If s₃ is the length of the 3rd side, the possible values are in the interval.

5 < s₃ < 19

Step-by-step explanation:

For a triangle, we know that the sum of any two sides is always larger than the other side.

So if a triangle has 3 sides:

s₁, s₂, and s₃, we have:

s₁ + s₂ > s₃

s₁ + s₃ > s₂

s₂ + s₃ > s₁

In this case, we know that two sides are:

s₁ = 7

s₂ = 12

And we want to find the possible values of s₃.

Then if we use the above inequalities, we get:

7 + 12 > s₃

7 + s₃ > 12

12 + s₃ > 7

With the first one we get:

19 > s₃

Now we can rewrite the other two as:

s₃ > 12 - 7 = 5

s₃ > 7 - 12 = -5

The first one is more restrictive than the second:

s₃ > 5 > -5

So we can use only the first one.

Then the two inequalities are

s₃ > 5

s₃ < 19

Then the range is:

5 < s₃ < 19

This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)


Related Questions

what times twelve is exactly 30
the answer is most likely a mixed number​

Answers

Answer:

2.5 or 2 and 1/2

Step-by-step explanation:

30/12 = 2.5

There are two wholes that fit in 30 with a remainder of half of a whole.

2.5 translates to 2 and 1/2

Answer:

Hello! answer: 2½

Step-by-step explanation:

Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!

Express 0.74 as a percentage ​

Answers

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

help.
step by step please
no links i will report :)

Answers

Answer: 2 1/13

Step-by-step explanation: keep change flip. keep 9/13 and then change, so you multiply 9/13x3/1 which is equal to 27/13 which is 2 1/3

WILL GIVE BRAINLIST Please help

Answers

Sample Answer:

Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.

Step-by-step explanation:

For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.

The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.

Now, with the formulas for volume of the prisms:

Rectangular: L * W * H

Triangle: (L*W * H) / 2

Then just plug in the numbers:

Rectangular Prism:

L * H * H

6 * 5 * 1

30 * 1

30

Triangle Prism:

(12 * 5 * 1) / 2

60 / 2

30

They are equal to each other.

In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.

Answers

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer:

47.5  

Step-by-step explanation:

From delta math

I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.


I. The location of each vertex on a coordinate plane


II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.


III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches


Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?

Answers

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.

So, by AAS criteria it would be congruent.

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

hope it helps...

have a great day!!

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

hope it helps you...

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?

Answers

Answer:  9 more of her classmates like tacos as compared to her relatives

Step-by-step explanation:

first mutiply 75 x 48 =3600

3600/100=36

Then, 45 x 60=2700

2700/100=27

and substract 36-27=9

thats the answer, hope this helped!

please and thank you , 10 points​

Answers

i don’t know the answer but pls do not click the link the other person sent!! it is a scam

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

Answers

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

7} = (4) -55) = 0
12
12
410
My Progress
Copyright © 2021 by Curriculum Associates. All rights reserved. These materials, or any portion thereof, may not be reproduced or shared in any manner without express written consent of Curriculum Associates
I NEED HELP ASAP

Answers

Answer:

-12

Step-by-step explanation:

62X + 310 =
2542 Find X

Answers

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

What are the answer please number which question you are answering

Answers

Answer:

7.

This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:

b + 52 = 90

b = 38.

Therefore, b is 38 degrees.

8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:

b + 117 = 180

b = 63

Therefore, b is 63 degrees.

9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:

b + 125 = 180

b = 55

Therefore, b is 55 degrees.

A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.

Answers

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

*LOOK AT PICTURE FOR QUESTION*

F) 20.5 in

G) 14.74 in

H) 9.3 in

J) 10.1 in

Answers

I’m Pretty sure it’s g

Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?

Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!

!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT

Answers

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root

Answers

Answer:

Step-by-step explanation:

tan 45=1/1=1

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.

What is the 45-45-90 triangle?

The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.

The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].

The value of tan45 is given by the following formula;

[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]

Hence, the value of tan45 is 1.

Learn more about trigonometry here;

https://brainly.com/question/17016719

#SPJ2

Simplify:
3x2 – 2x + 1 = [?]
x=2

Answers

Answer:

9

Step-by-step explanation:

3×2² -2×2 +1 = 3×4-4+1=12-4+1=9

Answer:

9

Step-by-step explanation:

Substitute x = 2 into the expression

3(2)² - 2(2) + 1

= 3(4) - 4 + 1

= 12 - 4 + 1

= 8 + 1

= 9

pls help me out here! ty in advance!!

Answers

Answer:

the value for x=50

Step-by-step explanation:

180=74+56+x

180=130+x

x=50

PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!

Answers

Answer:

1. How many packages are delivered each hour.

2. Find the correlating variable on the graph.

3. 105 packages

4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.

plz help me illl give brainlist 5.0 and thanks plz help rn !!!

Answers

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?

Answers

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

a rectangle has sides of length 2 millimeters and 8.1 millimeters. What is the perimeter?​

Answers

Answer:

20.2 mm.

Step-by-step explanation:

2*2 + 2*8.1

= 4 + 16.2

= 20.2 mm.

A quality control inspector at a clothing manufacturer

Answers

Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.

Find the volume of the prism

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

V=Bh the length of the rectangle is 9 cm and the width is 7 cm

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Answers

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D

Find the circumference of the circle. Use 3.14 for pi. Use the inches squared for the
answer. (circle is 9 inches)

Answers

Answer:

the answer is 30.975

Step-by-step explanation:

... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))

Suppose that whether it rains tomorrow depends on past weather conditions only through the last 2 days. Specifically, suppose that if it has rained yesterday and today, then it will rain tomorrow with probability .8; if it rained yesterday but not today, then it will rain tomorrow with probability .3; if it rained today but not yesterday, then it will rain tomorrow with probability .4; and if it has not rained either yesterday or today, then it will rain tomorrow with probability .2. Over the long term, what proportion of days does it rain

Answers

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]

Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1


15 points pls I need ASAP

Answers

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

the answer is A because the first intercept would be at positive three

A bag contains 20 candies: 9 pink candies, 8 red candies, and the rest green candies. Without looking, Sarah pulls out a piece of candy. What is the probability of Sarah pulling out a green candy what is heat transfer?


( A) 1/10
( B) 3/10
(C) 3/20
(D) 1/20

Answers

Answer:

The answer is C

Hope this helps!

Mark me brainliest if I'm right ;)

Other Questions
comments favorite math problem solve the inequality This data shows the test scores of different students:85, 90, 82, 65, 75, 96, 72, 90, 98, 70, 86, 92Create a histogram of this data.To create a histogram, hover over each distance range on the x-axis. Then click and drag up to plot the data.PLEASE HELP ASAP!!! 8. True or False: Hitting the ball before itbounces, or "volleying, in not allowed. 1. Which statement best expresses the central idea of the text? (Text: https://www.commonlit.org/texts/characteristics-of-resilient-people)A. Resilience is a trait that people are born with and cannot belearnedB. Resilient people possess skills that enable them to avoidchallenges.C. Resilient people possess skills that enable them to overcomechallenges.D. Resilience is a trait that one develops in order to help andsupport others. For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius You see Paul dealing with Susan, an upset employee from another department. Susan is complaining about something that your department was supposed to do but didn't. You are in a back room and have not been seen by Susan. Paul is obviously frustrated and unable to deal with Susan effectively. You should:a. Walk up to the pair and attempt to change the conversation.b. Introduce yourself to Susan and offer your assistance.c. Ask your supervisor to offer some interpersonal skills training to Paul.d. Tell Paul that Susan is needed by the supervisor to end the situation. Ms. Hall withdrew $20 from her checking account twice a week. Her total withdrawal amount when she last checked was -$220. How many weeks has she been doing this for? 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Depr - Equipment (26,500) (32,500) (6,000) total assets 144,800 224,700 Liabilities: Accounts Payable 12,700 25,700 13,000 accrued Liabilities 3,800 5,000 1,200 Bonds Payable 72,000 40,000 (32,000) total liabilities 88,500 70,700 shareholders Equity: Common Stock 20,000 20,000 0 Retained Earnings 36,300 134,000 97,700 total equity 56,300 154,000 total liabilities and shareholder equity 144,800 224,700 A. Current Ratio B. Gross Profit Percentage C. Debt Ratio D. 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