A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?

Answers

Answer 1

Answer:

[tex]4 < x < 38[/tex]

Step-by-step explanation:

[tex]21 - 17 = 4[/tex]

[tex]21 + 17 = 38[/tex]

Answer 2

The range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

A triangle has side lengths of 21 cm and 17 cm

side 1 = 21 cm

side 2 = 17 cm

What is the relation between side of triangle?

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore,

length of side 3

[tex]21-17 < side 3 < 21+17[/tex]

[tex]4 < side 3 < 38[/tex]

Therefore the range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

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Related Questions

HELP HELP HELP!!!!!!!
A piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.

Find both the explicit and recursive rule for this geometric sequence.

Answers

Answer:

sorry i am struggling the same

Step-by-step explanation:

2+2=4

The answers to each part are mentioned below.

What is geometric sequence? What is an exponential function? Differentiate between equation and expression?  geometric sequence : A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.

We can write the geometric sequence as -

0.1, 0.2, 0.4, 0.8 ......

The explicit formula for a geometric sequence is of the form -

        a{n} = arⁿ ⁻ ¹

        where [r] is the common ratio.

The recursive formula for a geometric sequence is of the form -a{n} = a{n - 1}r

For the geometric sequence -

0.1, 0.2, 0.4, 0.8 ......

The explicit formula will be : a{n} = (0.1)(2)ⁿ ⁻ ¹ The recursive formula will be : a{n} = 2a{n - 1}

If the paper is folded 7 times, we can write the thickness as -

y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4

To surpass the Mount Everest, we can write -

8850 < (0.1)(2)ⁿ ⁻ ¹

(2)ⁿ ⁻ ¹ > 88500

(2)ⁿ/2 > 88500

(2)ⁿ > 177000

n log(2) > log(177000)

n > {5.25/log(2)}

n > 17.44

n > 18

Therefore, the answers to each part are mentioned above.

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What is the solution to the equation −4(2y − 4) − 4y = 4? (put number answer only)

Answers

-8y + 16 - 4y = 4
-12y + 16 = 4
-12y = -16
Y = 1.3333333

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step by step.

Step 1: Simplify both sides of the equation.

−4(2y−4)−4y=4

(−4)(2y)+(−4)(−4)+−4y=4(Distribute)

−8y+16+−4y=4

(−8y+−4y)+(16)=4(Combine Like Terms)

−12y+16=4

−12y+16=4

Step 2: Subtract 16 from both sides.

−12y+16−16=4−16

−12y=−12

Step 3: Divide both sides by -12.

y=1

Find the measure of angle b

Answers

Answer:

26˚

Step-by-step explanation:

Since there is already two angles (The square in the corner shows that the angle is 90˚)

So subtract 90˚ with 64˚ which is 26˚

Answer:

this whole angle is equal to 90°

so the value of angle b = 90°-64°

so the value of b= 26.

Evaluate 2x when x = 4

COULD SOMEONE HELPP

Answers

8. Because 2x means 2 times x
x is 4 so 2x4=8
Answer: 8

Since x=4
You will multiply 2x
X means 4 basically cause it says what it is equal to then all you do is:
2x4=8

And if you wanna learn more of these types of questions I’ll help you in the comments! (:

(8x + 9) + (15 - 8x)

Answers

8x +9 + 15-8x is -32 it’s that easy

Which relation is a function?

Answers

Answer:

I need a picture at least

If this answered help you then please consider marking it as brainliest to help me level up to expert

If this answered help you then please consider marking it as brainliest to help me level up to expert

x+3y=18 and x+2y=14


SHOW YOUR WORK!!!!!!!!!!!!!!!

Answers

i think it is this i’m not sure i saw this a long time ago hope it helps

Step-by-step explanation:

x=6

y = 4

......................

You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both
machines. The amount of calories burned on each machine is shown in the picture below. How
much time should you spend on each machine?


Machine a burns 8 calories per minute machine b burns 6 calories per minute.

Answers

a and b are the minutes spent on machine A and machine B, respectively.

a+b = 40
b = 40-a

8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10

30 minutes on machine A and 10 minutes on machine B

When do we use pooling in inference?

Answers

There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).

Answer:

There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).

Step-by-step explanation:

Find the equation of the line shown.​

Answers

I’m pretty sure it’s y=.5 and x=-2 so just put that into slop intercept form

use the disturbitive property to write an expression that is equivalant to 8(a+4)

Answers

Answer:

8a + 32

Step-by-step explanation:

To use the distributive property, multiply 8 x a and multiply 8 x 4

Phillip is rolling two number cubes. How many different ways can he roll the number cubes and get a sum of 6?


A. 3

B. 4

C. 5

D. 6


I will give you 30
points if you anser!

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

If the two number cubes are a standard six sided dice then the total of ways he can roll for the sum of 6 is 3

1+5 = 6

2+4 = 6

3+3 = 6

help ???????????????

Answers

1. 6 people
2. 52 people
3. 13 people said it takes less than half hour, and 13 people said it takes longer than half hour. It’s a tie.
4. When asked, it takes most people either 30 minutes or 60 minutes.

Answer:

1. 14 people said 1 hour or more

2. 52 people

3. 13 people said it takes them less than half an hour and 13 people said it takes them more than half a hour. difference is 0

4. the data is taken in pairs of 2 people

Step-by-step explanation:

bottom question

5- 2

10 - 6

15 - 4

20 - 6

25 - 0

30 - 8

35 - 4

40 - 0

45 - 6

50 - 2

55-0

60-8

65-6

Choose the method of pay that would result in the most earnings for one month on sales of 73,620

Answers

Answer:

Step-by-step explanation:

For option A: Earning = 0.06 x $73,620 = $4,417.20

For option B: Earning = $3,000 + 0.02 x $73,620 = $3,000 + $1,472.40 = $4,472.40

For option C: Earning = 0.04 x $50,000 + 0.09 x ($73,620 - $50,000) = $2,000 + 0.09 x $23,620 = $2,000 + $2,125.80 = $4,125.80

For option D: Earning = 0.05 x $35,000 + 0.07 x $(73,620 - 35,000) = $1,750 + 0.07 x $38,620 = $1,750 + $2,703.4 = $4,453.40

Therefore, the method that yields the most earning is monthly salary of $3,000 plus 2% commission on all sales .

Answer:

b.

Monthly salary of $3,000 plus 2% commission on all sales.

Step-by-step explanation:

edge 2021

A family went to a basketball game. They parked the car in a parking lot which charged $5. The cost per ticket was $24. Write an equation for the total cost of going to the basketball game, where y is the total cost an x is the total number of people. If the family spent $173, how many people went to the game?

Answers

Answer:

7 people went to the basketball game.

Step-by-step explanation:

Giving the following information:

They parked the car in a parking lot which charged $5. The cost per ticket was $24.

To calculate the number of people, we need to use the following formula:

Total cost (y)= x*24 + 5

173 = 24x + 5

168/24 = x

7 = x

7 people went to the basketball game.

WILL GIVE BRAINLIEST, PLEASE HURRY.

In science class, students added vinegar to a solution to try to reach an acidic pH. Eduardo added 1/3 of a cup vinegar to his solution. Violent added 3.75 times the amount Eduardo used. How much vinegar did Violet add to her solution?

A. 3 3/4 cup
B. 1 1/4 cup
C. 1 cup
D. 1/3 cup

Answers

Answer:

B. 1 1/4 cup

Step-by-step explanation:

1/3 times 3 3/4 gives you 1 1/4! Hope that helps!

Answer:

Step-by-step explanation:

11/4

ez as pie

How many times should you multiply 8/7 by itself?

Answers

Answer:

to gain what result

Step-by-step explanation:

if u can please the full question

What is the answer for 1 1/2 yard x 1 1/2 yard =

Answers

1 1/2 as an improper fraction is 3/2
3/2x3/2=9/4
9/4 is 2.25 so 2.25 yards

Given the following equations, at which point will the graphs intersect?
f(x) = 5x + 1
g(x) = -2x + 15
(0,0) (1,15) (-2,-9) (2,11)

Answers

Answer:

(2,11)

Step-by-step explanation:

f(x) = 5*2 + 1 = 11

g(x) = -2 *2 + 15 = 11


What is the coefficient in the following equation?
2x - y = 12

Answers

Answer:

I think 2 is the coefficient of x which is numerical.

WORTH 58 POINTS HELP MEE PLEASE

Answers

Answer:  

4:1

sorry if i'm wrong

Answer:

Step-by-step explanation:

54 ÷6= 9

the first one is  5:1

then take away 9

45- 9 = 36

36:9 = 4:1

1. True or False: While using the Pythagorean Theorem, if A and B squared
are added and it equals C squared, it is a right triangle.*
*

Answers

True, using the Pythagorean theorem if A^2+B^2=C^2 it is a right triangle

Answer:

true because its correct

In RST shown below, altitude SU is drawn to RT at U. If SU = h, UT = 12, and RT = 42, what is the value of h to the nearest tenth?

Answers

Answer:

assuming angle RST=90 degrees

h=19

Step-by-step explanation:

RU/h=h/UT

RU=RT-UT=42-12=30

30/h=h/12

h^2=360

h=18.97   rounded to nearest tenths=19

4x-9 , 3x-8 Add
cause i'm too tired

Answers

Answer:

if your adding them together it would be -70

Step-by-step explanation:

4× -9 =-36

3×-8=-24

Answer:

-70 papi

Step-by-step explanation:

PLEASE HELP!!! i tryed by i thing I got it wrong I WILL GIVE BRANLIESS

Answers

Answer:

Dinner: $45

Dinner after discount: $29.25

Tax after discount: $31.59

Tip before the discount: 6.75

Total cost: 38.34

Step-by-step explanation:

Hope it helps! :) (double check my work to be sure)

Determine whether Joe is shorter or taller than the height of the tepee

Answers

Answer:

shorter

Step-by-step explanation:

Is 3,9,19,33,51.. a linear or non-linear sequence?​

Answers

Jai shree ram. sjkaoaoauwyyw7272okebsbskpszbahzijzgzgz

Answer:

non-linear

Step-by-step explanation:

dosnt go up by the same amount each time

The length of the rectangle is 5 cm longer than twice its width. If the perimeter of the rectangle is 88 cm what is the width? pls help

Answers

l = 5 + 2w.

P = 88 cm.

P = 2 ( l + w )

88 cm = 2 ( (5 + 2w) + w)

88 cm = 2 (5 + 3w)

88 cm cm = 10 + 6w

88 cm cm - 10 = 6w

78 cm = 6w

78 cm : 6 = w

13 cm = w

The width is 13 cm.

Brenda wants to attach a string of beads along the circular bottom edge of the lampshade shown
below. The diameter of the bottom of the lampshade is 16 centimeters.
About how many centimeters long should Brenda make the string of beads?

Answers

Answer:

its 50

Step-by-step explanation:

Raúl is mixing a cleaning spray. The instructions say to combine 2 cups vinegar with 1 cup water. Raúl wants to make 15 cups of spray. How many cups of vinegar and how many cups of water should Raúl use?

Answers

so 15/3 = 5 then
vinegar = 5x2 = 10 cups
water = 5x1 = 5 cups
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