The perimeter of the triangle is 13 inches. What is the length of the shortest side?

The Perimeter Of The Triangle Is 13 Inches. What Is The Length Of The Shortest Side?

Answers

Answer 1

Answer:

shortest side = 3 in

Step-by-step explanation:

Sum the 3 sides and equate to 13, that is

x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is

x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )

x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )

2x + x = 24

3x = 24 ( divide both sides by 3 )

x = 8

Thus

x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

The shortest side is x - 5 = 3 in


Related Questions


Mrs. Drew wants to build a square sandbox with an area of 361 square feer. What is the total length
of wood Mrs. Drew needs to make the sides of the sandbox?

Answers

Answer:

19 feet

Step-by-step explanation:

Area= length × length

361= l²

√361= l

19= l

Answer: 76

Step-by-step explanation:

SOMBODY HELP ME!!!! I NEED HELP

Answers

Answer:

-11, -2, 3, 6

-16, -5, 21, 29

Step-by-step explanation:

Answer:

You are almost correct

2. -11, -2, 3, 6

3. -16, -5, 19, 21

Step-by-step explanation:

This is the answer because:

1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have

2) Therefore, the answers would be

2. -11, -2, 2, 6

3. -16, -5, 19, 21

Hope this helps! :D

how many strawberries will Maria need if she has three smoothies​

Answers

Answer:

how many dose she have

Step-by-step explanation:

Answer: 18 strawberries

Maria puts 6 strawberries in each smoothie she makes. She makes 3 smoothies altogether how many strawberries does Maria use in the smoothies? (i’m guessing is the real question)

Well she needs to put 6 strawberries in EACH of the 3 smoothies. The easiest way to find the answer is to multiply! 6 • 3 = 18! So, I hope this helps!

the ratio of boys to girls in a class is 4 : 5

a) what is the fraction of boys in the class

b) what is the fraction of girls in the class

Answers

Answer: 4/9 of the class are boys and 5/9 of the class are girls.

Step-by-step explanation:

There are 9 nine students in total in the class since 4 + 5 = 9.Input the amount of boys and girls there are in the class in the numerator  and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.

solve 20x5y=15 for y​

Answers

Answer:

Step-by-step explanation:

DeShawn her $21 to spend on two pencils after buying them he has $17 how much did each pencil cost

Answers

$2, $17 + $2 + $2 =$21

Can a ray be bisected?

Answers

Such a ray that divides an angle into two equal angles is called an angle bisector.

Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:

An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.

Credits to google.

In short, no.

Use order of Operations to simplify the following: 4² - (28÷7) + 111

Answers

Answer:

123

Step-by-step explanation:

If the answer is wrong please let me know so I can fix it!!! Have a Great Day :)

Answer:

123

Step-by-step explanation:

16-4+111

12+111

=123

Alexa ran 22.5 miles less than Anthony last week. She ran a total
of 16.2 miles. How many miles did Anthony run?
Help me out

Answers

Anthony ran 38.7 miles because if she ran 22.5 miles LESS than Anthony, then you would ADD 22.5 and 16.2 getting a sum of 38.7.
Note: Sorry I’m not that good at explaining :(

A cube has a surface area of 54 square centimeters, what is the side length?

Answers

Answer:

9cm

Step-by-step explanation: i think. ah

Answer:

3 cm³

Step-by-step explanation:

Formula a =√(A/6)

a = edge

A = Surface Area

a = √(54/6) = 3

What set does negative 4 belong to

Irrational numbers
Rational numbers
Real numbers
Whole numbers
Integers

Answers

It belongs to integers

What is the prime factorization of 96? 8 · 12 2 · 2 · 2 · 2 · 3 25 · 3 25 · 32

Answers

96
/ \
8 • 12
/ \ / \
4 • 2 • 4 • 3
/ \ / \
2 2 2 2
96 is 2•2•2•2•2•3 or 2^5•3

Identify the geometric mean of 10 and 5/8.

Answers

24.08319

Step 1 : Find 1 / N

  1 / N = 1 / 5 = 0.2

Step 2 : Find mean

 GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2

       = ( 1050 ) 0.2

 GM= 4.020

help me find the answer!!

Answers

hehe you can easily search it up . i do it all the time in math

WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).

Answers

Answer:

[tex](\frac{17}{18}, \frac{23}{6})[/tex]

Step-by-step explanation:

D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]

D2 = [tex]\sqrt{x^2 + y^2}[/tex]

Then set D1 = D2, and substitute in y = 3x+1

[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]

[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]

[tex]18x = 17[/tex]

x = 17/18

Then to find y, substitute back in x for y = 3x + 1

[tex]y = \frac{17}{18} * 3 + 1[/tex]

y = 23/6

The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Here,

The equation of straight line is y = 3x + 1

And, it is equidistant from the origin and (-3, 4)

We have to find the coordinates of the point on the straight line.

What is the distance between the two points?

The length of the line segment that connects the two given points, is called distance between two points.

Now,

Let the point (x, y) on the line y = 3x + 1.

Distance between the points (x, y) and (0, 0) is;

[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]

[tex]D = \sqrt{x^{2} +y^{2} }[/tex]

And, Distance between the points (x, y) and (-3, 4) is;

[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]

[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]

Equating both distance we get;

[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]

And, To find y put the value of x in y = 3x + 1, we get;

[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]

Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Learn more about the distance between two points visit:

https://brainly.com/question/23848540

#SPJ2

y=1/4x + 8 what would be the slope and the y-intercept

Answers

Answer:

y= 1/4x + 8

comparing with

y= mx + c

slope = 1/4

for y intercept x=0

y=8

Step-by-step explanation:

The slope of the line is 1/4, The y-intercept is 8.

In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.

Therefore, the slope of the line is 1/4.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = (1/4)(0) + 8

= 0 + 8

= 8

Hence, the y-intercept is 8.

To know more about line here

https://brainly.com/question/30003330

#SPJ6

Write the expression as a decimal number.
5×1+1×
1
10
+8×
1
100
+6×
1
1000
=

Answers

The answer would be 66.7

Help on this question pls

Answers

Answer:

The answer is D, -11 degrees.  

Step-by-step explanation:

Angle RQP is total sum of angles RQU, (96 + x) and UQP, (x + 57).  

Angle RQP = 131.  

(96 + x) + (x + 57) = 131

153 + 2x = 131

2x = -22

x = -11.  

Therefore, answer is -11 degrees.  

A package of floor tiles contains 22 one-foot-square tiles. Find how many packages
should be bought to cover a square ballroom floor whose side measures 66 feet Note:
Partial packages cannot be bought

Answers

3 Packages of 22 on foot square tiles because if you multiply 22 by 3 you get 66
So therefore your answer would be 3 packages!

Answer:

Step-by-step explanation:

66 times 66  for area is 4356 then 4356 divided by 22 is 217.8 so 218

the unit digit of square of the square of the number 42 is

Answers

um so 42 squared is 1764 and 1764 squared is 3111696 so then 6 is the unit digit

1.
What is the solution of the system of equations?
y = 3x - 4
-3y = -9x + 12

Answers

Answer:

Step-by-step explanation:

-3(3x - 4) = -9x + 12

-9x + 12 = -9x + 12

0 = 0

infinitely many solutions

If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?

Answers

Answer:

the answer is 3.5 tell me if you got it right

$3.50 per pound is the unit rate

Just divide 10.5 by 3
To get ur answer


Brainliest?

a) Calculate the area of a triangle that has base 8cm and height
6.5cm State units with your answer.​

Answers

Answer:

26cm^2

Step-by-step explanation:

Base = 8cm

Height = 6.5cm

[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]

Substitute values into the given equation

[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]

HELP PLEASE
Please find the angle measure . Do not use the degree symbol.

Please classify as acute, obtuse, right, or straight . No capital letters please.

Answers

Answer:

acute

Step-by-step explanation:

Kyle ran 150 feet and 15 seconds how many hours would it take him to run 30 miles

Answers

Answer:

  b.  4.4 hours

Step-by-step explanation:

We can use the conversion factor 1 mi/h = 22/15 ft/s. The required relation is ...

  time = distance/speed

  [tex]\dfrac{30\text{ mi}}{\left(\dfrac{150\text{ ft}}{15\text{ s}}\right)}\times\dfrac{\left(\dfrac{22\text{ ft}}{15\text{ s}}\right)}{\left(\dfrac{1\text{ mi}}{1\text{ h}}\right)}=\dfrac{(30)(22)\text{\h}}{150}\text{ h}=4.4\text{ h}[/tex]

Assuming Kyle can keep up the pace for that distance, it would take him 4.4 hours to run 30 miles.

A golf player is trying to make a hole-in-one on the miniature golf green shown. 19.2 ft12.8 ft Imagine that a coordinate grid is placed over the golf green. The golf ball is at (4, 3.2) and the hole is at (15.2, 3.2). The player is going to bank the ball off the side wall of the green at (9.6, 12.8). Part 1 out of 2 Enter an equation for the path of the ball. Enter the parameter a as a fraction in lowest terms. y =

Answers

Answer:

- 12/7|x-9.6|+12.8

Step-by-step explanation:

I will mark you the BRAINLIEST IF U DO THIS WELL

Answers

Answer: i think 0<u<425.65

this is considering every player will bought only one uniform for the season

Step-by-step explanation:

Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!

Answers

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =

Now the given equation is,

6(2x+1) – 3 = 4x – 5

So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,

12x + 6 – 3 = 4x – 5

or, 12x + 3 = 4x – 5

Taking alike terms together we get,

12x - 4x = – 5 - 3

Solving we get,

8x = -8

Dividing both side by 8 we get,

x = -1

which is the required solution of the given equation.

Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

To learn more about equations :

brainly.com/question/2273153

#SPJ2

HELP PLEASE TIMED This graph displays a linear function. Interpret the constant rate of change of the relationship. Rate of change = BLANK​

Answers

Answer:

3

Step-by-step explanation:

The rate of change is just another way of saying slope.

The slope of a line is it’s rise over run.

We can see here that every time x increases by 1, y increases by 3. (This is where the triangle comes in handy).

Rise:3

Run:1

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

So the rate of change is 3.

Hope this helped!

Answer:

is 3

Step-by-step explanation:

i got

At the fair, Terrell has 47 ride tickets. Each ride on the Ferris wheel costs 6 tickets. After
riding the Ferris wheel as many times as possible, how many tickets will Terrell have left?

Answers

Answer:

Terrell has 5 tickets left.

Step-by-step explanation:

Other Questions
4 ft 5 Ft what is the area Eduardo is taking an essay test. He reads the question, organizes his thoughts, and begins to write. After he completes his essay, Eduardo looks and sees he hastime to spare. He looks back through his essay and has written everything he wanted to write. What should Eduardo do next?A)Look at each paragraph to see where more can be addedB)Nothing. If his essay is complete, he should not write moreC)Turn to his neighbor to see if he or she needs any helpD)Write one more paragraph about an additional thought he has Simplify the expression.4 + 5(7v. +10) how long a boy will take to run round a square field of side ,35 if he run at the rate of 9km/hr 1. What is the difference between constructive and deconstructive criticism? Give an example ofeach. A type of antisocial behavior is stalking. It generally involves the following behaviors except:a. Making verbal threats to the intended victim or a family memberb. Making threatening or harassing phone calls or hang-upsC. Sending unwanted love notes, flowers, and gifts after being told not to d. It is restricted to the famous In a year, there are 12 months. Seven months have 31 days. How many have 28 days? * which number is between pi ans the square root of 14 Find X . Please helpppp!! D: I NEED HELPPPPComplete the remaining columns in the chart by calculating the missing values for eachcategory. Round your percentages to the nearest tenth of a percent. (16 points) Please please please help me please I dont know how to do it please help me Can please show all the work please Use the given endpoint Y and the midpoint M of YZ (there is a line over YZ) to find the coordinates of the other endpoint Z If f(x) = 6x and g(x) = 4x+1, find (fog)(x). what is the term for sending emails that imitate legitimate companies? When adding more sucrose to a 0.7 M sucrose solution, why does it not dissolve as readily as it did at a lower molarity? a) the ions in the solution interact with the sugar and that interferes with its solubility b) the solubility of the solute depends on wether the solute has hydroxyl functional groups or not c) the solute molecules adhere to the polar regions of the water molecules so there is no room for more sucrose molecules d) hydrogen bonds in the water molecules change the electrical charge of the sugar molecule, which prevents it from dissolving further in the water Why is the global health organization important? how many times can 26 go into 57 Help me please it due today at 11:59 pleasss NO is an angle bisector. Solve for x.A. x = -10B. Not enough informationC. x = 10D. x = 4 find hundred 2 raise to 3 using suitable identity