If longest out of a triangle is 3 inches longer than the shorter side. The medium size is 2 inches longer than the shorter side. If the perimeter is 26 inches, what are the length of the three sides

Answers

Answer 1

Answer:

Shortest side = 7 inches.

Medium side = 9 inches.

Longest side = 10 inches.

Step-by-step explanation:

Let the shortest side be x.

Translating the word problem into an algebraic equation, we have;

Shortest side = x

Medium side = x + 2

Longest side = x + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

[tex] P = A + B + C [/tex]

Substituting into the equation, we have;

26 = x + x + 2 + x + 3

26 = 3x + 5

3x = 26 - 5

3x = 21

x = 21/3

x = 7 inches.

Therefore, the length of the three sides are;

Shortest side = x = 7 inches.

Medium side = x + 2 = 7 + 2 = 9 inches.

Longest side = x + 3 = 7 + 3 = 10 inches.


Related Questions


Is it possible to form a triangle with side lengths 3.5 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? Or none

Answers

Answer:

It is not possible to draw a triangle with given measurements of 3.5, 3.5, and 9.

Step-by-step explanation:

Scalene Triangle - All 3 sides have different lengths.

Isosceles Triangle - 2 sides have equal lengths.

Equilateral Triangle - All 3 sides have equal lengths.

You must be thinking that it would be Isosceles triangle, but it is not. The measurements you gave is 3.5, 3.5, and 9. Grab a piece of paper, ruler, and a pencil. First draw the length of 9 cm with your pencil and ruler (let us pretend that the measurements are in cm). Then draw 3.5 cm by placing your ruler on the end/start of your 9cm line that you drew before. Then, once again draw a 3.5 cm on the other end of the 9cm line. You will see something like the picture above. You can see that the two sides of the triangle are not intersecting on the top. This means that the triangle formation cannot be made by the given measurements of 3.5, 3.5, and 9.

I hope you understand my answer and this is an easy way to find if, from the given measurements, a triangle is able to be drawn. Thank you !!

The given side lengths, 3.5 3.5, and 9, cannot form a triangle.

The Triangle Inequality TheoremThe triangle inequality theorem states that for any triangle, the sum of any two of its side must be greater than the length of the third side.

Given the side lengths, 3.5 3.5, and 9:

3.5 + 3.5 (7) is not greater than 9

Thus, we can conclude that the given side lengths, 3.5 3.5, and 9, cannot form a triangle.

Learn more about triangle inequality theorem on:

https://brainly.com/question/2403556

PLEASE Help mE wiTh the two QUESTIONS

Answers

Answer:

the coefficient 2 is the slope (each coordinate is 2 units up and 1 unit right from the previous unit)

the constant 3 is the y-intercept (0, 3)

Step-by-step explanation:

find the polynomial equation with the given roots (precalc)

Answers

Theee point to under stand to how long but tee lol and then you have a good luck on the game you can have it to you

If someone bikes 1.5 miles in 10 minutes how far can they bike in 1.5 hours.​

Answers

Answer:

13.5

Step-by-step explanation:

You put $1,000.00 into a saving account that gives you a 14% return. What is your growth factor?

Answers

Answer:

i would not rlly know what my growth factor is actually

Step-by-step explanation:

Imma try to answer but $1,79.85

It would be really nice if you guys could help me out with this

Answers

Answer:

times 2

Step-by-step explanation:

2×2=4

-7×2=-14

which is why the scale factor is times 2

A triangle has angle measurements of 90°, 79, and 11° What kind of triangle is it?
acute
right
obtuse

Answers

Answer:

Right

Step-by-step explanation:

There is a side that is 90 degress

Solve the system of equations using elimination. SHOW WORK!!!!!!!!!!!!!

15q – 4r = 62
5q + 8r = 86

Answers

q= 6

r= 7

work--

Multiply 1st column by -2:

-30q+8r=-124

5q+8r=86

Subtract 2nd column from the first column:

-35q= -210

Solve for q:

q=6

Subtract q=6 by any of the two equations, so:

-30q+8r=-124

-30*6+8r=-124

Solve for r:

r=7

That person is correct! Good luck

Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm

14 cm

Answers

Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

triangle ABC has sides of lengthAB = 10 cm, BC = 12 cm , and AC = 15 cm . List the angles from smallest to largest.

Answers

Answer:Ok 19$ fortnite card. Who wants it!, and yes I am giving it away, and remember, share, share, share, and trolls, don't get blocked!

Step-by-step explanation:

Ms. Bohan has 4 1/2 bags of takis that she wants to split between her 3 nieces. What fraction of the takis will each niece get? 

 a

6/9 of the takis

 b

3 1/2 of the takis

 c

9/6 -or- 1 1/2 of the takis

 d

27/2 -or- 13 1/2 of the takis

Answers

C is the correct answer when you divide 4.5 by 3

Pls answer the question

Answers

Answer:

the answer is 35

Step-by-step explanation:

Keith downloaded 18
songs in 3 minutes.
What's the slope?

Answers

Answer:

54

Step-by-step explanation:

54 is the slope of the equation

Help lol I dunno what to do

Answers

Answer:

same

Step-by-step explanation:

Answer:

The answer is 9.2

Step-by-step explanation:

If it takes a person 2 hours to drive 100 km, how fast (what speed) were they driving?

Answers

Answer: 50km/hour

Step-by-step explanation:

Answer:

50 km an hour

Step-by-step explanation:

if the person is traveling 100 km an hour, we can divide the distance by the time, to find out how fast they were traveling

100 divided by 2 = 50

the person was traveling 50 km an hour

1. Which value of the denominator would make the below statement true?
2/3 = 16/?
a.6
b. 8
c. 12
d. 24


Please help !

Answers

Answer:

d. 24

Step-by-step explanation:

a

Step-by-step explanation:

multiple

6times 3--16

Combine like terms. Your answer should contain decimals. 0.5(x4 − 9) + 15 = Please in 10 mins please

Answers

Answer:

x ≈ ±2.1407

Step-by-step explanation:

0.5(x⁴ - 9) + 15 = 0

Distribute the 0.5 across the parentheses.

0.5x⁴ - 4.5 + 15 = 0

Combine the constants.

0.5x⁴ + 10.5 = 0

Subtract 10.5 from both sides.

0.5x⁴ = -10.5

Divide both sides by 0.5.

x⁴ = 21

Take the fourth root of 21.

⁴√21 ≈ ±2.1407

x ≈ ±2.1407

Lena drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles.​

Answers

Answer:

13.6 gallons

Step-by-step explanation:

Miles Driven = Gallons Burnt * Miles Per Gallon

 

So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles.  This is 284/20.88 = 13.6 gallons

 

Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured.  You will see this is very important in science

 

What can we learn from this.  As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21.  So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.

What number has a absolute of 10?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10, -10, [tex]\sqrt{100} =10[/tex]

Step-by-step explanation:

id k if you are asking for the absolute value, but I hope this helps.

Nick is buying one DVD player and some DVDs. At Electronics-R-Us, the DVD player is $60 and the DVDs are $12 each. At Movies-n-More, the DVD player is $80 and movies are $10 each. If the cost at the two stores is equal, how many DVDs did Nick purchase?​

Answers

if he buys 5 DVDs at electronic-r-us plus the player it would be a total of $120
60+12(5)=60
if he buys the player plus 4 movies at movies-n-more the total would also be $120
80+12(4)=60
so in total he purchased 9 DVDs
5+4=9

the sum of two and a number is less than five

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

Let 'n' be the number. The sum of two and number = 2 + n

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

2 + n < 5

Let us solve the algebraic expression.

[tex]2+n<5[/tex]

Subtract 2 from both sides

[tex]2+n-2<5-2[/tex]

Simplify

[tex]n<3[/tex]

Thus, the solution is:

[tex]2+n<5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:n<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]

Please also check the attached solution line graph.

Mr.smith had 2,364 baseball cards and wanted to give them to his 2 sons equally.How many cards did each son get?

Answers

Answer:

1,182

Step-by-step explanation:

Answer:

1182

Step-by-step explanation:

A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.

The table compares the wrestler's weight (in kilograms) and the time since he started his diet (in months).

How fast did the wrestler gain weight?

___ kilograms per month​

Answers

Finding the rate of the weight gain, we divide the total weight gained with the total number of months that took to gain that weight.

Total time (months) = 0.5 + 2 + 3.5 = 6 months

Total weight (kg) = 80.6 + 88.4 + 96.2 = 265.2 kilograms

Rate = Kg ÷ Months

Rate = 265.2 ÷ 6 = 44.2

44.2 kilograms per month​

Cheers!

Answer:

78 kilograms

Step-by-step explanation:

khan told me

Hannas soccer team is trying to raise $4048 to travel to a tournament in Florida so they who decided to host a pancake breakfast each person must pay $23 for the breakfast how many people need to attend to their breakfast in order to raise 4048

Answers

You can find the answer by doing 4048 / 23 which is 176.

hellpppppppppppppp pleaseeee

Answers

Answer:

x=3+√2 or x=3−√2

Step-by-step explanation:

For this equation: a=1, b=-6, c=7

1x2+−6x+7=0

Step 1: Use quadratic formula with a=1, b=-6, c=7.

x=

−b±√b2−4ac

2a

x=

−(−6)±√(−6)2−4(1)(7)

2(1)

x=

6±√8

2

x=3+√2 or x=3−√2

Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.

Enter your answer in the box.

Answers

3(7)+15+(3)(15)-6

21+15+45-6=75

Answer: right answer is 23

Step-by-step explanation:

Find the amount of simple interest that $400 would earn at 8% per year by the end 3 1/2 years

Answers

9514 1404 393

Answer:

  $112

Step-by-step explanation:

The amount of interest is given by the formula ...

  I = Prt

where P is the principal earning interest at annual rate r for t years.

  I = $400 · 0.08 · 3.5

  I = $112

The amount would earn $112 in interest by the end of 3 1/2 years.

How come this person didn’t divide EVERYTHING on the left by 2? I thought you had to...

Answers

The short answer is that algebra doesn't work that way. You wouldn't divide *everything* by 2, but every term that contains a factor of 2.

In the expression

2 (6x - 1) + 2 (2x + 5)

both terms have a factor of 2 (the 2 out in front of them). They're the ones that get canceled when dividing by 2:

(2 (6x - 1) + 2 (2x + 5)) / 2 = 2/2 (6x - 1) + 2/2 (2x - 5)

… = 1 (6x - 1) + 1 (2x - 5)

… = (6x - 1) + (2x - 5)

and so on.

Looking ahead, it turns out that the equation is solved by x = 7. This makes 6x - 1 = 41 and 2x + 5 = 19. So the equation is saying that, if you make these replacements,

2×41 + 2×19 = 120

If you divide *everything* on the left by 2, you end up with fractions:

(2/2)×(41/2) + (2/2)×(19/2) = 41/2 + 19/2

but 41 + 19 = 60, so the end result would be 30, but that's not the same as 120/2 = 60.

Questions Below. Would Appreciate Help!

Answers

Answer:

The function that could be the function described is;

[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]

Step-by-step explanation:

The given parameters of the cosine function are;

The period of the cosine function = 3

The maximum value of the cosine function = 20

The minimum value of the cosine function = 0

The general form of the cosine function is presented as follows;

y = A·cos(ω·x - ∅) + k

Where;

[tex]\left | A \right |[/tex] = The amplitude = Constant

The period, T = 2·π/ω

The phase shift, = ∅/ω

k = The vertical translation = Constant

Therefore, by comparison, we have;

T = 3 = 2·π/ω

∴ ω = 2·π/3

The range of value of the cosine of an angle are;

-1 ≤ cos(θ) ≤ 1

Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;

y = A × cos(ω·x - ∅) + k

y = 10 × 1 + 10 = 20 = The maximum value of the function

Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;

y = 10 × -1 + 10 = 0 = The minimum value of the function

Given that the function is a reflection of the parent function, we can have;

A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;

y = -10 × -1 + 10 = 20 = The maximum value of the function

Similarly, for cos(ω·x - ∅) = 1 we get;

y = -10 × 1 + 10 = 0 = The minimum value of the function

Therefore, the likely values of the function are therefore;

A = -10, k = 10

The function is therefore presented as follows;

y = -10 × cos(2·π/3·x) + 10

Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (-3,-1) Slope: 0

Answers

Answer:

Y=-1

Step-by-step explanation:

The slope of line is zero

Answer siiiiiiiii


Explanation
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