The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answers
Answer:
3 in
Step-by-step explanation:
Sum of all sides of ∆ = perimeter
Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:
[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]
Solve to find the value of x
[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]
[tex] \frac{3x + 2}{2} = 13 [/tex]
Multiply both sides by 2
[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]
[tex] 3x + 2 = 26 [/tex]
Subtract 2 from both sides
[tex] 3x + 2 - 2 = 26 - 2 [/tex]
[tex] 3x = 24 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{24}{3} [/tex]
[tex] x = 8 [/tex]
The shortest side = (x - 5) in
Plug in the value of x
= (8 - 5) in
= 3 in
Related Questions
Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
Answers
Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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13) Print-o-rama charges a $25 setup fee and $8 per shirt. Printastic charges a $64 set
up fee and $5 per shirt. For what number of shirts do the companies charge the same
amount? What would the charge be?
Answers
Answer:
At 8 shirts, Print-o-rama charges $89. At 5 shirts, Printastic charges $89.
Convert these decimals into fractions 0.49 and 4.542
Answers
Answer:
0.49 = [tex]\frac{49}{100}[/tex]
4.542 = 4 [tex]\frac{542}{1,000}[/tex]
Step-by-step explanation:
0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.
4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.
Hope this helps!
Which real-world scenario can be described using the algebraic expression c/4?
Answers
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Step-by-step explanation:
w(x) = 2x + 5; Find w(x + 2)
Answers
Solution:
w(x) = 2(x + 2) + 5
w(x) = 2x + 4 + 5
w(x) = 2x + 9
Best of Luck!
what is 9b = 8b − 16
Answers
Answer:
b = -16
Step-by-step explanation:
9b = 8b - 16
9b - 8b = -16
b = -16
Can the common ratio of geometric sequence be equal to 0?
Answers
Answer:
No it cant
Step-by-step explanation:
it cant
Please help me I will give the brain Please.
Answers
Answer: C or $256
You will also save $64
Answer:
The cost of the stereo system is $256.
Step-by-step explanation:
What we know:
The cost of the stereo system is $320.
Zenaida is getting the stereo system 20% off.
We can set our equation up like this:
Stereo System = 320-320*20%
(to find the cost of the stereo system, we have to subtract 20% of the original price)
1. Multiply 20 by 100 to change 20% into a decimal
20*100=0.2
2. Plug into the equation and solve
320-320*0.2
= 320-64
= 256
I hope this helped!
16) Amari ran three-quarter the distance Mary did. Amari ran 12 miles. Write and solve an equation that represents how far Mary
Answers
Answer:
Step-by-step explanation:
Amari ran 3/4 distance Mary ran
A = 3/4 M
Amari ran 12 miles
12 = 3/4 M Multiply by 4
12 * 4 = 3*M Combine
48 = 3M Divide by 3
48/3 = M
M = 16
So Mary ran 16 miles.
Can someone answer these for me ?
Answers
A plane flies x mph. How far can it go in y hours? Which expression represents this?
x/y miles
x + y miles
xy miles
Answers
Answer:
xy miles
Step-by-step explanation:
Answer:
xy miles
Step-by-step explanation:
cus i said so
is -7 greater than -4
Answers
Answer:
no
Step-by-step explanation:
-7 is smaller than -4 because the farther down the negative part of the number line, the "smaller" it gets
arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6
Answers
Answer: C. -10, A -6, B 2
Step-by-step explanation:
Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
Answers
Read the paragraph from The Hot Zone.
Just then, he noticed a blur of motion on his left, and he turned and saw two Hazleton workers walking toward him. They weren't supposed to be in here! The area was supposed to be sealed off, but they had come in by another route that led through a storeroom. They wore respirators, but nothing covered their eyes. When they saw the two men in space suits, they froze, speechless. Jerry could not see their mouths, but he could see their eyes, wide with astonishment. It was as if they had suddenly discovered that they were standing on the moon.
What is the author’s main purpose for including this paragraph?
to inform readers about the location of the scene that is unfolding
to explain to readers that being a scientist can be exciting work
to entertain readers by illustrating how dramatic the situation is
to reassure readers that the situation was completely under control
Answers
Answer:
c
Step-by-step explanation:
to entertain readers by illustrating how dramatic the situation is
The purpose of the author will be C. entertain readers by illustrating how dramatic the situation is.
It should be noted that a theme simply means the main idea that's conveyed in a literary work. It's simply what the author wants the readers to know.
In this case, the author’s main purpose for including this paragraph is to entertain readers by illustrating how dramatic the situation is.
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Which ones apply?
Answers please
Answers
- 7x + 14 = 4x - 19
Please help
Answers
Answer:
-7x+14=4x-19
-7x
14-3x-19
-3x-15
Step-by-step explanation:
x=3
NEEDING SMART PPL PLEASE I NEED HELP will give brainly Given the following expressions:
A. 5^3· 5^-4 B. 3^5/3^-6
C. (1/4)^3 · (1/4)^2
D. (-7)^5/(-7)^7
Part 1: Use operations of exponents to simplify each expression (A-D). Include your work in your final answer.
Part 2: For each simplified expression (A-D), tell whether or not the expression has a value between 0 and 1. please write in your own words
Answers
Answer:
Part 1:
a. 5^3 x 5^-4 = 125 x 1/(5)^4 = 125 x 1/625 = 125/625 = 0.2b. 3^5/3^-6 = 3^5 x 3^6 = 243 x 729 = 177147c. (1/4)^3 x (1/4)^2 = 1/64 x 1/16 = 1/1024 = 0.00097656d. (-7)^5/(-7)^7 = -16807/-823543 = 1/49 = 0.02040816...Part 2:
a. has a value between 0 and 1 because the answer to the expression is 0.2b. does not have a value between 0 and 1 because the answer to the expression is 177147c. has a value between 0 and 1 because the answer to the expression is 0.00097656d. has a value between 0 and 1 because the answer to the expression is 0.02040816...What are these fractions in order from greatest to least?:
6/9,5/6,5/7,4/5
Answers
if f(x)= x^2+x and h(x)=5x-2 find f(f(2))
Answers
Step-by-step explanation:
Remove the parentheses: = ff x 2
Apply exponent rule: f^1+^1x2
Add the numbers 1+1=2 = 2f^2
I hope this is right.
Anyone know how to do this?? Help pls
Answers
Answer:
The correct answer is A. a = 2s - b - c
Step-by-step explanation:
First you multiply 2 on both sides and you will end up with 2s = a + b + c.
Then to isolate a you would subtract both b and c from both sides of the equation as well to end up with your answer of a = 2s - b - c.
Help me guys! This question is hard for me
Answers
Answer:
should be answer A
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)
6x + 2y = 12
How do I show my work ?
Answers
Hey there!
ANSWER: [tex]\frac{-1}{3}y+2[/tex]EXPLANATION:[tex]6x+2y=12[/tex]
Let's start by adding -2y to both sides.
[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]
Our second and final step is to divide both sides by 6.
[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]
If you are looking to solve y, the answer is 6 - 3x.
If you are looking for x, the answer is x = 2 - y/3
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis. Use the initial zombie population and growth rate per level to complete the table and estimate the population at level 5. Round to the nearest whole number, if necessary.
.
Game Level: 1 | 2 | 3 | 4 | 5
Population: 50,000 |
Answers
Answer:
Answer: Level 1 - 50,000
Level 2 - 52,500
Level 3 - 55,125
Level 4 - 57,881
Level 5 - 60,775
Step-by-step explanation:
Level 1 population will be 50,000
Level 2 population will be 52,500
Level 3 population will be 55,125
Level 4 population will be 57,881
Level 5 population will be 60,775
What is a product?
Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. Product can meet are the quantities that are included, and the outcome of the operation, or the final response.
The zombies would be 50,000 * 5% if Gavin were level 1, and 50,000 * (5% * 2) if Gavin were level 2, which would be equivalent to 50,000 * 10%. Gavin calculates the number of zombies by multiplying the player's stage by 5%, which equals 50,000 * 5%x Initial Density of Zombie.
The population of the 2 level is
50000 + (50000 * 5%)
50000 + 2500 = 52500
The population of 3 levels is
52500 + (52500 * 5%)
= 55,125
The population of 4 levels is
55,125 + (55,125 * 5% )
= 57,881
The population of 5 level is
57,881 + ( 57,881 + 5%)
= 60,775
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Omar is playing a computer game. He starts with 0 points, wins 8 points, loses 6 points 4 times, and then wins 2 points. Which integer represents Omar’s score? –30 –14 16 34
Answers
The answer is -14. 0+8 =8 8 - (6x4) = - (-16 + 2 = -14
Answer:
-14
Step-by-step explanation:
What is 6/12 in simplist form?
Answers
Can someone help me
Answers
Answer:
I think it is the first one ( 2,0)
but if I am wrong I am sorry
Hello there!
The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.
I hope this helps
X + 9 = 7
How do you move the constant to the right side and change it’s sign
Answers
Step-by-step explanation:
X + 9= 7
get x by itself you -9 on both sides
X + 9 = 7
- 9. -9
X = -2
You can throw the X to the right side and change to -X
9 = 7 - X
OR You can add both sides with -X
X + 9 - X = 7 - X
9 = 7 - X
Then you can do the same with 7 by throwing it to the left side and get -7
9 - 7 = - X
2 = - X
Now throw the -1 to the left side ( -X = -1X )
2(-1) = X
X = -2
The radius of a circle is 4.8cm. What is the diameter?
Answers
Answer:
9.6cm
Step-by-step explanation:
Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.
4.8*2=9.6
Diameter=9.6cm
What operation is included as part of a fraction? Multiplication Division Addition Subtraction Explain your thinking.