Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1

Which Of The Following Are Possibleside Lengths For A Triangle?A. 9, 4,8B. 14, 7,6C. 3, 8, 1

Answers

Answer 1
a is your answer to the question that you are asking
Answer 2

The only set of side lengths that can form a triangle is 9, 4, 8.

Option A is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's check if each of the given sets of side lengths satisfies this condition:

A.

9, 4, 8

9 + 4 > 8 ✓

9 + 8 > 4 ✓

4 + 8 > 9 ✓

All three inequalities are true, so these side lengths can form a triangle.

B.

14, 7, 6

14 + 7 > 6 ✓

14 + 6 > 7 ✓

7 + 6 > 14 ✗

The last inequality is false, so these side lengths cannot form a triangle.

C.

3, 8, 1

3 + 8 > 1 ✓

3 + 1 > 8 ✗

8 + 1 > 3 ✓

The second inequality is false, so these side lengths cannot form a triangle.

Therefore,

The only set of side lengths that can form a triangle is A. 9, 4, 8.

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Related Questions

Please help I really need help !!

Answers

Answer:

I think it is D.

Step-by-step explanation:

I multiplied 11x9x9=891

Use ALL of the tools have, to find area and perimeter of this below:

Answers

9514 1404 393

Answer:

area 36 ft²perimeter 30 ft

Step-by-step explanation:

The area can be decomposed into a rectangle and a trapezoid.

The rectangle is 2' by 5', so has area ...

  A = LW

  A = (5 ft)(2 ft) = 10 ft²

The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²

Then the total area of the figure is ...

  total area = 10 ft² +26 ft² = 36 ft²

__

The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...

  c = √(a² +b²) = √(3² +4²) = √25 = 5

The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...

  P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet

The perimeter of the figure is 30 feet.

Help me please! I will mark brainliest for whoever gets it right the fastest.

Answers

Answer:

300

Step-by-step explanation:

surface area of prism = p (perimeter)*height + 2* base area

sa = (12+13+5) * 8 + 2* (12*5/2)

    = 30*8 + 2*30

    = 240+60

    = 300

Male Color Blindness
Approximately 9% of men have a type of color blindness that prevents them from
distinguishing between red and green. If 3 men are selected at random, find the
probability that all of them will have this type of red-green color blindness.​

Answers

Answer:

About 0,3? Could go higher but the middle answer ( highest probability) is correct to me.

Step-by-step explanation:

find the unknown lengths in the pair of similar triangles

Answers

Answer:

a = 3

b = 2

Step-by-step explanation:

The ratio of the corresponding sides of two similar triangles are always equal. Therefore,

9/a = 18/6 = 6/b

✔️Let's solve for a:

9/a = 18/6

9/a = 3

Cross multiply

a*3 = 9

Divide both sides by 3

a = 9/3

a = 3

✔️Let's find b:

18/6 = 6/b

3 = 6/b

3*b = 6

b = 6/3

b = 2

2/4 = 1/2 or 1/3
which is the answer

Answers

Answer:

1/2

Step-by-step explanation:

Because you can simplify 2/4 by 2, to get 1/2

Answer:

1/2

Step-by-step explanation:

76 is what percent of 475?

Answers

Answer:

361

475*76%=361

Hope this helped you out!!

Answer:

16

Percentage Calculator: 76 is what percent of 475? = 16.

Step-by-step explanation:

Answered by none other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!

Hope this helped!!

What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624

Answers

Answer:

376

Step-by-step explanation:

312,336,336,368,384,416,488,624

the middle numbers are 368 and 384

the median is the middle of the middle numbers

to find this number we add up 368 and 384 and divide the answer by 2

368+384=752

752/2=376

Answer:

376

Step-by-step explanation:

1. To find the median you have to first arrange the numbers in numerical order.

2. Count how many numbers you have.

3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.

So considering you have 8 numbers if you divide 8 ÷ 2 = 4

the 4th number arranged is 368. Now to average 368 and 384. 368+384=752

752 ÷ 2 = 376

Find the area of the triangle. Enter your answer in the box.

Answers

9514 1404 393

Answer:

  168 mm²

Step-by-step explanation:

The area of a triangle is half the product of the base and height. The height is measured perpendicular to the base.

  A = 1/2bh

  A = 1/2(14 mm)(12 mm)

  A = 84 mm²

The area of the triangle is 84 square millimeters.

Answer:

84 whoop lololol

Step-by-step explanation:

84 mm power 2

I’m about to cry from frustration. Help please before I die

Answers

Answer:

[tex]\frac{1}{3}x+16=37[/tex]

63 Jelly Beans

Step-by-step explanation:

The unknown is the number of jelly beans originally in the bag or x

First he had x jelly beans

The he ate one-third of them

[tex]\frac{1}{3}x[/tex]

He then ate 16 more jelly beans

[tex]\frac{1}{3}x+16[/tex]

This was equal to 37 jelly beans

[tex]\frac{1}{3}x+16=37[/tex]

This is the equation

Now solve for x

Subtract 16 from both sides

[tex]\frac{1}{3}x=21[/tex]

Multiply both sides by 3

[tex]x=63[/tex]

63 Jelly Beans

First you write the equation x+16=37. After solving you will get x=21. Then you multiply x by 3 to get the whole bag. And you will get 63

3/4(5x - 3) + 8 = 17.

Answers

Answer:

x=3

Step-by-step explanation:

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference

Answers

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

[tex]pX = \frac{68}{86} = 0.7907[/tex]

[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

[tex]pY = \frac{105}{120} = 0.875[/tex]

[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]

Difference:

[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]

[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound of the interval:

[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]

Upper bound of the interval:

[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]

The 95% confidence interval for the difference is (-0.1888, 0.0202).

If the principle is $12,000 and the rate of interest is 6% (simple interest), what
is the total amount after one year?
[no links please (:]

Answers

9514 1404 393

Answer:

  $12,720

Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +rt)

where P is the principal, invested at rate r for t years.

  A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

A jewerler had a fixed amount of gold

Answers

Answer:

ohhhhh and who is the jeweler

The expression 5x^2 + 25x + 70 can be used to estimate the height, in
meters, of a toy rocket x seconds after it is launched from a platform.
How many seconds does it take the rocket to hit the ground?

Answers

Answer:

Hence x is 7 seconds

Step-by-step explanation:

hope this helps

Ok no one at my school can get it, who has the crown to get this right 1st out of my whole class lolllll plus ill give brainiest to who answers without a link

Answers

Answer:

A.y=(t-1998)+b

B. 13,720 Vehicles

Step-by-step explanation:

N/A

Use the washer method to find the volume?

Answers

It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

THANKS

Solve for each variable and tell how you found the value of each.

Answers

Answer:

A:38 c:54

Step-by-step explanation:

First off, I did the easiest which was a. i found the value of A by subtracting 180 by 142. because a flat line is 180 degrees.

For C, It was more difficult. I subtracted 88 by the value of A, since the value of A is the same as the one next to 88. So I subtracted 126 (88+38) and got 54.  

Fortunately, I couldn't figure out B though, but i think it is a similar answer to c.  

please help. i need this in by today at 12:00

Answers

Answer:

A

Step-by-step explanation:

P( music ) = number of students in music/ total number of students

P (music) = 4 / 14

= 2/7

The answer should be A, hope this helps :)

Find all factors of the given number. (Enter your answers as a comma-separated list.)
200

Answers

All factors would be:

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Find the quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 11.
Week : 0 1 2 3 4 5 6
Population : 495,483,481,489,507,535,573

Answers

Answer: b

f(x)=5x^2-17x+495

f(11)=913

Step-by-step explanation:

I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.

The quadratic function that models the data will be;

y = 5x² - 17x + 495

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The model to estimate the number of fish at the lake on week 11 are;

Week = 0, 1, 2, 3, 4, 5, 6

Population = 495, 483, 481, 489, 507, 535, 573

Now,

Let the quadratic equation is;

y = ax² + bx + c

Substitute x = 0 and y = 495, we get;

495 = a × 0 + b × 0 + c

c = 495

Substitute x = 1 and y = 483, we get;

483 = a × 1 + b × 1 + c

483 = a + b + 495

a + b = 483 - 495

a + b = - 12   ... (i)

Substitute x = 2 and y = 481, we get;

481 = a × 4 + b × 2 + c

481 =  4a + 2b + 495

4a + 2b = 481 - 495

4a + 2b = - 14

2a + b = - 7   ... (ii)

Solve equation (i) and (ii), we get;

a = 5 and b = - 17

So, We get;

The quadratic equation is;

y = ax² + bx + c

y = 5x² - 17x + 495

Therefore, The quadratic function that models the data will be;

y = 5x² - 17x + 495

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What is the angle of rotation of the figure?
A. 30°
B. 60°
C. 72
D. 120

Answers

Answer:

b

Step-by-step explanation:

Answer:

i would say A

Step-by-step explanation:

cause it looks like its only slitly rotated

291 divided 6 = what ? R ?

Answers

Answer:  48 R3

Step-by-step explanation:

HELP PLS !!!! ITS DUE IN AN HOUR

Answers

Answer:

its b i know that

Step-by-step explanation:

Which electrician would be cheaper to hire for 3 hours? 8 hours? Why

Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.

Answers

Answer:

3 hour: electrician B because you would save $15

8 hour: electrician A because you would save $10

Step-by-step explanation:

35×3+100=205 vs 40×3+70=190

b is 15 dollars less

35×8+100=380 vs 40×3+70=390

a is 10 dollars less

Sam has $560 in his savings account.
He earns 2.5% interest every 3 years.
How much TOTAL savings will he have in his account?

Answers

$234///////////////////

If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?

Answers

Answer:

47.05

Step-by-step explanation:

12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#

Classify each equation as L Q or E

Answers

Answer:

Step-by-step explanation:

Type of equations,

Linear equations:

Equations in the form of y = mx + b

Quadratic equations:

Equation with a maximum degree = 2

y = ax² + bx + c

Exponential equations:

Any function or equation having exponent,

y = a(b)ˣ

a). f(x) = 3x + 2

    Linear function.

b). y = 5ˣ

    Exponential equation.

c). f(x) = 2

   Linear equation

d). f(x) = 4(2)ˣ + 1

   Exponential function

e). [tex]y=7(0.25)^x[/tex]

   Exponential function

f). y = 4x² + 2x - 1

  Quadratic function

Please help with this math work!! Solve for x , Assume which appear tangent are tangent

Answers

Answer:

photo is not clear so i can't help u

Answer:

i cant really see the q so sorry but goodluck <3

Gina deposits $2,000 into each of two savings accounts.
- Account I earns 5% annual simple interest.
- Account II earns 5% interest compounded annually.
Gina does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 3
years?
0 $4,600
O $4,615.25
0 $4,630.50
$4,300

Answers

Answer:

4,615.25

Step-by-step explanation:

I just did a et and it is correct.

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