Find the range for the possible measure of the third side of a triangle given two sides?
4 cm, 6 cm
Range:

Answers

Answer 1

Answer:

The possible range of the measure of the third side is 2 < 3rd side < 10

Step-by-step explanation:

In any triangle:

The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sides

Let us solve the question

∵ The measures of the two sides of a triangle are 4 cm and 6 cm

∵ The difference between their measures = 6 - 4 = 2 cm

∵ The sum of their measures = 6 + 4 = 10 cm

→ By using the rules above

The measure of the third side is between 2 and 10

∴ 2 < the third side < 10

The possible range of the measure of the third side is 2 < 3rd side < 10


Related Questions

the original price of a sweater is $36 the sale price is 25% of the original price what is the sale price

Answers

Answer: 9 dollars

Step-by-step explanation: 36-25%=9

Answer:

$5.40 is your answer

**CAN ANYONE PLEASE HELP ME ON THIS? IF YOU ARE AN EXPERT AT MATHEMATICS, PLEASE HELP.**

I’m a bit stuck on this question and i do need help. Could you perhaps show me a step-by-step answer and how to check your answer by it?

Answers

y = -5
I think so ....
first subtract 2 on both sides then multiply both sides by 5/4

Colin buys a car for £42800.
It depreciates at a rate of 5% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£38,6267

Step-by-step explanation:

First year depreciation will be:

42800 * 0.(100-5) = £40,660

Second year worth after depreciation:

40660 * 0.(100-5) = £38,627

I hope I answered your question well.

A PE teacher divides the class evenly for
game of kickball. If the likelihood of being on
Team Eagles and Team Jaguars is the same,
then describe a simulation that could represent
the team assignment for next 10 students in PE
class.



PLEASE HELP QUICKLY

Answers

Answer:

it would be 5

Step-by-step explanation:

10/ p = 1
250 = 1000/ q
please help

Answers

Answer:

p = 10

q = 4

Step-by-step explanation:

10/p = 1

(multiply both sides by p)

10 = 1p

10 = p

250 = 1000/q

(multiply both sides by q)

250q = 1000

(divide both sides by 250)

q = 4

Hope this helps!

PLZ HELP (20 points)

Which of the sets of ordered pairs represents a function? (4 points)

A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}

Group of answer choices

Only A

Only B

Both A and B

Neither A nor B

Answers

Answer:Neither A nor B

Answer: neither A nor B

Quick! Please help me

Answers

Answer:

yay lol

Step-by-step explanation:

Answer:

(-3, -2) and (-3, 4). Hope that helped!

Step-by-step explanation:

Natalie can paint 40 square feet in 9 minutes. Assuming she paints at a constant rate, write the linear equation that represents the situation.

Answers

Answer: 360  your multiplying 40x9=360.

Step-by-step explanation:

Answer:

x=4.4t

Step-by-step explanation:

you have to divide to find a constant rate

so  40/99 equals 4.4

natalie can paint 4.4 square feet every minute

x being constant and 4.4 equals that times time and thats the equation

[(M^2N^2-MN)(M^2N^2+MN)]/MN

Answers

Answer:

Step-by-step explanation:

M²N² - MN = MN (MN - 1)

M²N² + MN = MN (MN + 1)

[tex]\frac{(M^{2}N^{2}-MN)(M^{2}N^{2}-MN)}{MN}= \frac{MN(MN-1) * MN(MN + 1)}{MN}\\[/tex]

                                     = (MN - 1) * MN * (MN + 1)

                                     = (MN - 1)(MN +1) MN             {(a+ b)(a - b) = a² - b² }

                                     = (M²N² - 1²) * MN

                                    = (M²N² - 1)MN

x^3 + 2x^2 – 24x

^
write the polynomial in factored form

Answers

Answer:

x(x+6)(x-4)

Step-by-step explanation:

They all have x in it, which means we can factor out x first.

x(x^2 + 2x -24)

Now we can factor out the inside doing algebra.

Since 6 multiplied by -4 gives us -24 and adding them gives us 2, 6 and -4 works. This means that we can factor out (x+6) and (x-4).

We still have to multiply the x from the beginning, giving us a final equation of

x(x+6)(x-4).

Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?
Oy-1= 4(x – 3)
Oy+1= 4 (2+3)
Oy-3= 4(x - 1)
Oy+3 = 4(x+1)

Answers

Answer:

Third option

[tex]y-3=4(x-1)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here

slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]

Equation of straight line having slope 4 and crossing from point (1, 3) is given as

[tex]y-3=4(x-1)[/tex]

Lin went 7/15 of a mile in 1/15 of an hour on her hoverboard. What was her speed on the hoverboard?

Answers

7 miles!! I took the test so it could help

Cassie bought a new sweater at the mall. Its original price was $60, but there was a 10 percent discount. How much did Cassie pay for the sweater?​

Answers

Answer:

54

Step-by-step explanation:

foo dry t it eu it yell hi

4x+1=2x-5 show all steps and solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

4x + 1 = 2x - 5

~Subtract 1 to both sides

4x = 2x - 6

~Subtract 2 to both sides

2x = -6

~Divide 2 to both sides

x = -3

Best of Luck!

Final Answer: [tex]x = -3[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]4x + 1 = 2x - 5[/tex].

Step 1: Subtract [tex]2x[/tex] from both sides.

[tex]4x + 1 -2x = -5[/tex]

Step 2: Simplify [tex]4x + 1 - 2x[/tex] to [tex]2x + 1[/tex].

[tex]2x + 1 = -5[/tex]

Step 3: Subtract [tex]1[/tex] from both sides.

[tex]2x = -5 - 1[/tex]

Step 4: Simplify [tex]-5 - 1[/tex] to [tex]-6[/tex].

[tex]2x = -6[/tex]

Step 5: Divide both sides by [tex]2[/tex].

[tex]x = -\frac{6}{2}[/tex]

Step 6: Simplify [tex]-\frac{6}{2}[/tex] to [tex]-3[/tex].

[tex]x = -3[/tex]

~I hope I helped you! :)~

Find the value of x

Answers

Answer:

see explanation

Step-by-step explanation:

here,3x=6(being X and 3 are intersected by 6)

or x=6/3

or x=2

Answer: 12

Step-by-step explanation:

3 x 12= 36 and the square root of 36 is 6

Write the other side of this equation so it's true for no values of x: 12(6x-10) -x=

Answers

i thinks its -720 not sure tho

In a race, the second-place finisher crossed the finish line 1 1 3 minutes after the first-place finisher. The third-place finisher was 1 3 4 minutes behind the second-place finisher. The third-place finisher took 34 2 3 minutes. How long did the first-place finisher take?

Answers

Answer: [tex]31\dfrac{7}{12}\text{ minutes}[/tex]

Step-by-step explanation:

Given: Time taken by third-place finisher = [tex]34\dfrac23[/tex] minutes

Time taken by second-place finisher =(Time taken by third-place finisher ) - [tex]1\dfrac34[/tex] minutes

= [tex]34\dfrac23-1\dfrac{3}{4}[/tex]

[tex]=\dfrac{104}{3}-\dfrac{7}{4}\\\\=\dfrac{4(104)-7(3)}{12}\\\\=\dfrac{395}{12}\text{ minutes}[/tex]

Time taken by first finisher = Time taken by second-place finisher ) - [tex]1\dfrac13[/tex] minutes

[tex]=\dfrac{395}{12}-\dfrac{4}{3}\\\\=\dfrac{395}{12}-\dfrac{4\times4}{3\times4}\\\\=\dfrac{395-16}{12}\\\\=\dfrac{379}{12}\\\\=31\dfrac{7}{12}\text{ minutes}[/tex]

Time taken by first finisher [tex]=31\dfrac{7}{12}\text{ minutes}[/tex]

280000000 in standard form

Answers

Answer:

two hundred eighty million

Step-by-step explanation:

Answer:

stranded form=2.8×10^8

I need help in this can someone help me . On this math problem ?

Answers

Answer:the second one

Step-by-step explanation:i Hope you get it right

Answer:

A. is the function

Step-by-step explanation:

B. couldn't be the function bc all the y-values are the same and C. isn't it bc the number one was repeated and had another answer.

Tia invests $2,500 at an interest rate of 4%, compounded quarterly, and another $2,500 at an interest rate of 3.75%, compounded annually. How much are the investments worth at the end of 5 years

Answers

Answer:Use formula for intrested compunded continuously which is ...

A = Pe^(rt)

A = Total Balance you will receive

P = Principal (amount you start out with)

e = The constant e (2.71818... can be foudn on your calculator)

r = Rate (Remember to convert to decimal form out of a whole)

t = Time

Lets assemble the equation for balance after 1 year...

A = 2000e^(.06x1)

A = $2123.67

So after 1 year, your balance is $2123.67

To find balance after 2 years, just substitute (t) for 2

A = 2000e^(.06x2)

A = $2254.99

After 2 years, your balance is $2254.99

Hope this helps

EDIT for the sake of clarifying what compounding continuously means, compared to compounding annually, semi annually, quarterly, etc... etc (I will try my best)

Continuous compounding can be thought of as making the compounding period infinitesimally small; therefore achieved by taking the limit of n to infinity.

Think of it as compounding continuously is an asymptote, you can compound annually, semi annually, quarterly, monthly, daily, even per second. Going down this progressive series approaches this asymptote which increasingly gets smaller but never crosses, so we substitute it with infinity. The asymptote is what we are compounding and can be found with A = Pe^(rt)

Step-by-step explanation:

The total worth of investments are $6055.73

What is Compound Interest?

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.

Given:

First, First, convert R as a percent to r as a decimal

r = R/100

r = 4/100

r = 0.04 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 2,500.00[tex](1 + 0.04/4)^{(4)(5)[/tex]

A = 2,500.00[tex](1 + 0.01)^{(20)[/tex]

A = $3,050.48

second, First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 2,500.00[tex](1 + 0.0375/1)^{(1)(5)[/tex]

A = 2,500.00[tex](1 + 0.0375)^{(5)[/tex]

A = $3,005.25

Hence, the total worth of investments are $3,050.48 + $3,005.25 = $6055.73

Learn more about Compound Interest here:

https://brainly.com/question/14295570

#SPJ2

40 ft converted into yards

Answers

Answer:

13.33 yards

Step-by-step explanation:

Answer:13.33

Step-by-step explanation:

btw..Milk is gross

Nora knit a total of 10 centimeters of scarf over 5 nights. After 6 nights of knitting, how many centimeters of scarf will Nora have knit in total? Solve using unit rates.

Answers

Answer:

Step-by-step explanation:

10 ÷ 5 = 2 x6 = 12

Answer:20

Step-by-step explanation:the answer is 20

trust

A recipe for 3 cups of snack mix calls for 1··2cup of pretzels. You can describe this as 3 cups of snack mix for every 1··2cup of pretzels and as 1··2cup of pretzels for every 3 cups of snack mix. Why?

Answers

Answer:

i do not know

Step-by-step explanation:

Point S lies between points R and T on Line segment R T. A line contains points R, S, T. The space between R and S is 2 x. The space between S and T is 3 x. If RT is 10 centimeters long, what is ST? 2 centimeters 4 centimeters 6 centimeters 8 centimeters

Answers

Answer:

6 cm

Step-by-step explanation:

Given that:

A line that contains the points R, S and T.

Distance between R and S = [tex]2x[/tex]

Distance between S and T = [tex]3x[/tex]

To find:

The distance between S and T = ?

Solution:

The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.

As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.

i.e. RS + ST = RT

[tex]2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2[/tex]

ST = 3[tex]x[/tex] = 3 [tex]\times[/tex] 2 = 6 cm

Therefore, the answer is:

Distance between S and T is 6 cm.

If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters

Point S lies between points R and T on Line segment RT

RT   =  RS   +  ST

The space between R and S is 2x

That is, RS  =  2x

The space between S and T is 3x

That is, ST  =  3x

RT is 10 centimeters long

RT  =  10cm

Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST

10  =  2x  +  3x

10   =  5x

x  =  10/5

x   =  2

If x = 2, then

ST  =  3x

ST = 3(2)

ST =  6 centimeters

Learn more here: https://brainly.com/question/20418953

Which expression is a way to represent the ratio of a to b?
B:a
b to a
a/b
b/a

Pls help

Answers

It’s 35 and 23 and also it can be mans at the the cakes

What is the Y-INTERCEPT of the equation y = x+15

Answers

Answer:

15

Step-by-step explanation:

y=mx+b

b is the intercept

in this equation "m", the slope, would be one. the y-intercept, or "b" would be 15

Carly has already written 35 pages of a novel she plans to write 12 additional pages per month until she finished right and solve line or question then to find the total number of pages written at five months

Answers

Answer:

95 !

Step-by-step explanation:

12(5)+35 =95

Answer:

95 pages

Step-by-step explanation:

math

Helpppp
What is the sum of the first twelve numbers of the sequence 3, 7, 11,
15,...?

Answers

Answer:

I think it'd be 19

Step-by-step explanation:

well 3 ( +4 ) 7 ( +4) 11 ( +4 ) 15 ( +4) 19

Prove that -4x - 3 (3x - 6) + 8 (2.5x + 3.5) equals 7x + 46 using the commutative property.

Answers

Let's simplify step-by-step.

−4x−3(3x6)+8(2.5x+3.5)

Distribute:

=−4x+−3(3x6)+(8)(2.5x)+(8)(3.5)

=−4x+−9x6+20x+28

Combine Like Terms:

=−4x+−9x6+20x+28

=(−9x6)+(−4x+20x)+(28)

=−9x6+16x+28

Answer:

=−9x6+16x+28

The line plot shows the length of rope (in feet) of five pieces of rope. What is the difference in length between the longest and shortest piece of rope?

Answers

Answer: am sorry G i can't get that answers for you

Step-by-step explanation:

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