Mathematics Middle School

Can the sides of a triangle have lengths 6.2, 0.5, and 7.8?
yes or no

Answers

Answer 1
No, it's not possible for the sides of a triangle to have those lengths.

According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.

[tex]6.2+7.8\ \textgreater \ 0.5[/tex]

This inequality satisfies the triangle inequality theorem.

[tex]7.8+0.5\ \textgreater \ 6.2[/tex]

This also satisfies the theorem.

[tex]6.2+0.5 \textless \ 7.8[/tex]

Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.

Related Questions

please show steps to solve y=3\2x-2 y=x+2

Answers

Substitute what you know y is equal to into the equation:
y = x + 2
3/2x - 2 = x + 2

Then you can simplify your equation by multiplying both sides by 2 to eliminate the fraction which will give you:

3x - 4 = 2x + 4

Add the -4 to the other side to get 8 and subtract the 2x from the 3x so you have:

x = 8    Now solve for y by substituting your value for x into the other equation:
y = 3/2(8) - 2    Simplify by combining your numbers and you get:
y = 10     Check your answer by substituting y and x into the original equation:
(10) = (8) - 2
Correctly done! So your answers are x = 8 and y = 10

the length of the hypotenuse of an isoceles right triangle whose leg is one unit

Answers

The answer may be 1.4. Isosceles triangles have 2 equal sides. Since you know the measure of one, you know both legs.
1^2+1^2=c^2
1+1=c^2
√2=c
c=1.4
Remember the hypotenuse must be bigger than the legs. 

Please answer asap 1 thru 6 please

Answers

1) 

V = πr²h
V = (3.14)(2)²(5)
V = 62.8 in³

2)

V = 1/3πr²h
V = 1/3(3.14)(4)²(8)
V = 133.97 in³

3) Sum of the interior angles of a triangle are 180. So we can add the two given angles and subtract the sum by 180 to find the unknown angle.

180 - (93+48) = C
180 - (141) = C
39 = C

4)

V = 4/3πr³
V = 4/3(3.14)(4)³
V = 267.95 cm³

5)

V = πr²h
V = (3.14)(3)²(12)
V = 339.12 ft³

6)

V = 4/3πr³
V = 4/3(3.14)(9)³
V = 3,052.08 cm³

Hope this helps :)

Do this and do as it says plz

Answers

Hope this help you:))

Point B, located at (-4, -7), is reflected over the y-axis. What are the coordinates of B'?

(-4, 7)
(4, -7)
(4, 7)
(-4, -7)

Answers

Answer:

(4, -7)

Step-by-step explanation:

The rule for a reflection over the y-axis is (x,y)→(−x,y). So (-4, -7)=(--4, -7) since the 2 negatives cancel out the new coordinates are (4, -7)

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation

Answers

Rate of change is 260/4=65 miles /h

the rate of change is the speed

Answer: 65 miles per hour

Step-by-step explanation:

We know that the rate of change of a function f(x) from x=a to x=b is given by :-

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Now, the rate of change for the given table is given by :_

[tex]k=\dfrac{\text{Distance(6)-Distance (4)}}{6-4}\\\\\Rightarrow\ k=\dfrac{390-260}{2}\\\\\Rightarrow\ k=65[/tex]

Hence, the rate of change for the given table is 65 miles per hour.

Which module is not a function?

Answers

The answer is C because a function must have no more than one output per input, and this particular input has 5 outputs. Hope this helps!

What is 34% written as a ratio?
A) 34:1
B) 34:10
C) 34:100
D) 34:1000

Answers

34 per cent is a ratio or a comparison of 34 parts of something to a total number of 100. Thus the correct expression would be C. 34:100.
Hello,

The answer is option C "34:100".

Reason:

The ratio form of 34% is 34:100

34%=34:100 (or 34/100)

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Henry can write 5 pages of his novel in 3 hours.

Answers

cool
what is the questoin ? xD

73×34=73×(30+4)=(73×)+(73×)=

Answers

I'm a bit confused by the question, but I'll just guess this is what you wanted:

73×34= 2482

73×(30+4)= 2482

And I'm not sure what you mean by (73×)+(73×)=?

If this helped, please give me brainliest :)

a quadrilateral is plotted on the coordinate plane. Each of its vertices undergoes the same transformation.Which rule below represents a transformation that does not preserve the length of the sides of the quadrilateral?

Answers

There are two main types of transformations:
a) Rigid Transformations
b) Non-Rigid Transformations

Rigid Transformations, as their name indicate, do not alter the size or shape. These include reflection, rotation and translation

Non-Rigid Transformations, do not preserve the size. The shape remains the same. This include Dilation. 
The question asks to find a rule which do not preserve the lengths of the sides of the Quadrilateral. So one thing is for sure. The quadrilateral has undergone non-rigid transformation i.e Dilation. Dilation involves both contraction and expansion. So the rule which will either expand or contract the given quadrilateral will be the right choice to the given question.

Answer:

(X,Y) ——> (3x - 2, y - 3)

Step-by-step explanation:

Because it’s multiplying X by 3 meaning that is a dilation

A diver dives from a 9-foot-high platform with an initial speed of 16 feet per second. The height, h, of the diver can be modeled by the equation ℎ = −162 − 16 + 9, where t represents time in seconds. How long will it be before the diver hits the water?

Answers

Answer: The diver will hit the water after 0.4 seconds.

This is an example of a quadratic equation. It is in the shape of an upside down parabola.

Our goal is to solve the following equation:  0 = -16x^2 - 16x + 9

To do this, we can use the quadratic formula. The variables are:
a = -16
b = -16
c = 9

It will be: 16 +/- The square root of (-16)^2 - 4(-16)9 all divided by 2(-16).

This will give a positive answer of 0.4 seconds.

 


Ritmo d bought 3/4 of a dozen rolls. How many rolls did buy?

Answers

9 rolls is what Ritmo bought
3/4 of 12 
3/4 * 12
9 rolls

PLEASE HELP!!! 1.What is an example of a composite figure in your home and community? 2.How would you decompose it and find the area? 3. Can you think of another reason that it would be helpful to decompose these figures in addition and making it easier to find the are of the figure?
ASAP!!!
Please be as descriptive as possible!

Answers

Answer: An example of the a composite figure would be the floor plan of your house.

The floor plan of your house is one big shape. However, it is made up of many smaller shapes. For example, your room may be a square. The kitchen may be a rectangle. The hallway could be a longer thinner rectangle. You could have rooms in the shapes of trapezoids, triangles, etc. 

There are 450 seats in the lower level of a concert hall with b balcony seats in upper level so far 170 tickets have been sold which Is 1/5 of the total number of seat in concert hall how many tickets sold are balcony seats

Answers

There are 400 balcony seats.

Let b be the number of balcony seats.  There are 450 lower seats; this makes the total number of seats 450+b.  We know that there were 170 tickets sold, and that this is 1/5 the total number of seats; therefore our equation is
1/5(450+b)=170

Use the distributive property with the 1/5:
1/5*450 + 1/5*b = 170
90 + 1/5b = 170

Subtract 90 from both sides:
90 + 1/5b - 90 = 170 - 90
1/5b = 80

We can also write 1/5b as b/5:
b/5 = 80

Multiply both sides by 5:
(b/5) * 5 = 80 * 5
b = 400

You can add the number of seats and can take its one fifth and equate it to 170 to get the number of total seats.

There are total 400 tickets sold for balcony seats.

How to calculate the number of seats from tickets' data?

Since the number of seats will be equal to that of tickets sold (assuming all seats will be covered), thus we can relate both the data.

How to find the total number of tickets sold for balcony seats?

It is givn that 170 is 1/5th of the total seats.

Since total seats = 450 seats of the lower level + b seats of the balcony

Thus, we have:

[tex]170 = \dfrac{450 + b}{5}\\\\450 + b = 170 \times 5\\\\b = 850 - 450 = 400[/tex]

Thus, there are total 400 balcony seats and thus same number of tickets will be sold for balcony seats.

Thus, There are total 400 tickets sold for balcony seats.

Learn more about linear equation with one variable here:

https://brainly.com/question/6196569

how do i convert 100 yards in 12 seconds to yards per second

Answers

To convert from 100 yds/12 seconds to yards per second, divide both sides by the number 12.
                                  _
You'll end up with 8.3 yards per second.

you divide 100 and 12. (100/12) once u divide it, you will get 8.33 seconds :)

Christian is comparing two checking accounts. One has a monthly fee of $7 and a per-check fee of $0.20, and the other has a monthly fee of $8 and a per-check fee of $0.15. What is the minimum number of checks Christian needs to write for the second bank to be a better option? A. 22 B. 21 C. 19 D. 18

Answers

Answer:

Option B. 21

Step-by-step explanation:

Christian is comparing two checking accounts.

First account has monthly fee = $7.00

and a per check fee = $0.20

Second account has monthly fee = $8.00

and a per check fee = $0.15

Now make equation to compare both accounts

7 + 0.20x = 8 + 0.15x

7 = 8 + 0.15x - 0.20x

7 = 8 - 0.05x

7 - 8 = -.05x

-1 = - 0.05x

x = [tex]\frac{1}{0.05}[/tex]

x = 20

On 20th check first account and second account are charged equal.

on 21st check second account would be a better option.

A coffee shop charges two different prices depending on the size of the cup. The table shows the number of regular-sized coffees and the number of large-sized coffees purchased in the past 3 hours. The total earnings for hours 1 and 2 are given. Each regular-sized coffee costs the same price, and each large-sized coffee costs the same price. The system of equations can be used to represent the situation.
WILL GIVE BRAINLIEST 14 POINTS!!!

Answers

X represents Regular Sized Coffee.
y Represents Large Sized Coffee.
The intersection is (3,5).
The cost of 1 regular and 1 large size coffee is 8 dollars.
The total earnings for hour 3 are $63.

8 and 9 are coefficients for x so they represent the regular sized coffee.
6 and 11 are coefficients for y so they represent Large sized coffee.
To find the intersection you can graph the equations. as shown in the attachment. 
x is 3 and y is 5. Add them together to get 8 dollars.
plugging in 3 for x and 5 for y gives you 63 dollars.
6x+9y = 6(3) + 9(5) = 63.

Answer:

Step-by-step explanation:

peggy is five years older than peter and susan is two years younger than peter the sum of their ages is 15 years how old is each child

Answers

Peter is 4 years old, Peggy is 9 years old, and Susan is 2 years old.

Let's denote Peter's age as ( P ) years. Based on the given information:

1. Peggy is five years older than Peter, so Peggy's age is ( P + 5 ) years.

2. Susan is two years younger than Peter, so Susan's age is ( P - 2 ) years.

The sum of their ages is given as 15 years:

[tex]\[ P + (P + 5) + (P - 2) = 15 \][/tex]

Now, simplify and solve for \( P \):

[tex]\[ 3P + 3 = 15 \]\[ 3P = 12 \]\[ P = 4 \][/tex]

So, Peter is 4 years old. Using this information, we can find Peggy's age[tex](\( P + 5 \)) and Susan's age (\( P - 2 \)):[/tex]

- Peggy: ( 4 + 5 = 9 ) years old

- Susan: ( 4 - 2 = 2 ) years old

Therefore, Peter is 4 years old, Peggy is 9 years old, and Susan is 2 years old.

How to write 8/12 as a product of a whole number and a unit fraction

Answers

8 X 1/12. Hope it’s help

3 teachers share 7 brownies equally how much does each teacher get

Answers

first off they get 2 each, and the last one they fight for
They may fight for it, or they can be precise and have each person get 7/3 or 2 (1/3) brownies. (Basically, each person gets 2 brownies plus a third of another)

Write this number in word form 5,487

Answers

Five thousand four hundred and eighty-seven
In word form:

Five-thousand four-hundred eighty-seven


~Deceptiøn

What is 20-3.05+(-9.5)

Answers

Your answer is 7.45
(evan43)
20-3.05 is 16.95+(9.5) I’m not sure if you add or multiply but here’s both ... 16.95+9.5=26.45 or 16.95x9.5=161.025. Hope it helps....Also remember PEDMAS, parentheses, exponents, divide, multiply, add, subtract, those are the steps in order you have to do in problems like this.

a smoothie recipe calls for 2/3 of Orange juice per serving how many cups of Orange juice are needed to make 4 servings

Answers

8/3 cups, so basically 9 cups are needed

Answer:

add it together n there is yo answer

Step-by-step explanation:

Find the surface area of a pyramid with base sides of 6 inches and a slant height of 12 inches.

Answers

The area of base:

[tex]B=6^2=36\ in^2[/tex]

The area of one side:

[tex]S=\dfrac{1}{2}\cdot6\cdot12=36\ in^2[/tex]

The surface area:

[tex]SA=B+4S\to SA=36+4\cdot36=180\ in^2[/tex]

The standard tip in a restaurant is 15% of the bill before tax. Many people in California find the tip by doubling the sales tax, which is 8.25%. By how many cents does this exceed the standard tip on a bill of 60% before tax?

Answers

To answer this you could do a couple things. 1. Actually calculate both tips and then subtract them. Here is the math ( assuming it is $60, not 60% that you mean). a. 0.15 x 60 = $9. b. 0.0825 x 2 x 60=$9.90. c. 9.90-9.00= $0.90 difference.

The other strategy would be to find the difference on the percents and then multiply by $60. a. 8.25%x2=16.5%-15%. Difference of 1.5%. b. 0.015 x $60=$0.90.

Answer:

90¢

Step-by-step explanation:

The percent paid by many people in California is [tex]$16.50\%$, or $1.50\%$[/tex] more of the bill than the standard tip. Thus the total difference is [tex]$\$60\cdot 0.015 = \$0.90$[/tex], or [tex]$\boxed{90}$[/tex] cents.

Hope this helped! :)

help please :)))))))))))))

Answers

5a + 4 1\3
You put work with the number with variable then the number without the variable do not forget about the positive and negative.
The answer is veritable a that's what I got

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x
years?

Answers

See also https://brainly.com/question/9051989

Let y represent the frog population. Then
.. y = 1200*0.97^x

Help please the circled ones

Answers

A. 6
B. 12
C. 12
D. 6

Yw and have a nice day! :)

(!) The perimeter of an isosceles triangle is 24 in and the length of one of the sides is 4 in. Find the other two sides.

The other 2 sides are ( ) inch and ( ) inch

Answers

Since 4 inches is less than (24 in)/4, it must be the side that is not equal to another. Then the two equal sides are
.. (24 in -4 in)/2 = 10 in

The other 2 sides are 10 inch and 10 inch.
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