two side of a triangle have lengths 6 and 16 which inequalities describe the values that possible lengths for the third side

Answers

Answer 1

Answer:

[tex]22 > x > 10[/tex]

[tex]10 < x < 22[/tex]

Step-by-step explanation:

Given

[tex]Side\ 1 = 6[/tex]

[tex]Side\ 2 = 16[/tex]

Required

Determine the inequality that represents the third side

Represent the third side with x.

For the triangle to be true, two of the following condition must be true.

[tex]6 + 16 > x[/tex]

[tex]6 + x > 16[/tex]

[tex]16 + x > 6[/tex]

[tex]6 + 16 > x[/tex]

[tex]22>x[/tex] -- True

[tex]6 + x > 16[/tex]

[tex]x > 16 - 6[/tex]

[tex]x > 10[/tex] -- True

[tex]16 + x > 6[/tex]

[tex]x > 6 - 16[/tex]

[tex]x > -10[/tex] --- False; Because, x can't be negative.

So, we have:

[tex]22>x[/tex] and [tex]x > 10[/tex]

This can be combined to give:

[tex]22 > x > 10[/tex]

or

[tex]10 < x < 22[/tex]


Related Questions

Help plz!!! Are these equations equivalent?
x = 4 - 3x
2x = 4

Answers

Answer:

no

x = 4 - 3x    x = 1

2x = 4          x =2

hope this helped :D

Answer:

No. They are not equivalent. The first one would end up being x=1, while the second one would be x=2.

Step-by-step explanation:

Samantha constructs a scatter plot. She realizes that she needs to add one more point, which will be an outlier.

Which of the ordered pairs does she still need to plot?


(19,9)

(8,6)

(10,14)

(4,15)
Coordinate plane with horizontal axis labeled Variable X and vertical axis labeled Variable Y. The following ordered pairs, which are approximated, are plotted 2.5 comma 15, 5 comma 15, 6 comma 12, 7 comma 14, 10 comma 12, 11 comma 12, 12.5 comma 11, 13 comma 11, 16.5 comma 9, and 19 comma 7.

Answers

The coordinates are (19, 9), (10,14)   and (4,15)

Scatter plots

Given the ordered pairs that Samantha needs to plot given as shown;

(19,9)  , (8,6)  , (10,14)   and (4,15)

From the given ordered pair, we can see that the outlier is (8, 6) because it lies an abnormal distance from other coordinate points.

We can see that as the x-values is increasing, the y-values is decreasing. Hence the ordered pairs that she still needs to plot are the remaining coordinate order than the outlier.

The coordinates are (19, 9), (10,14)   and (4,15)

Learn more on scatter plot here: https://brainly.com/question/6592115

Answer:

(8,6)

Step-by-step explanation:

i hope its helps

According to your graphing calculator, what is the approximate solution to the trigonometric inequality cot(x)> -7/8 over the interval 0 <= x <= 2pi radians?

Answers

Answer:

Option C

Step-by-step explanation:

See attached the graphical solution

Answer:

It's C

Step-by-step explanation:

Edge 2021

what theorem can be used to probe the 2 triangles similar?

Answers

Answer:

B. SAS

Step-by-step explanation:

Two sides of ∆DEF (DE and DF) are proportional to two corresponding sides of ∆ABC (AB and AC), and also their included angles (<D and <A) are equal to each other.

Therefore, based on the SAS criterion, both triangles are proven to be similar to each other.

Both triangles satisfy the SAD Criterion, and hence, they can be proven to be similar to each other.

Which of the following is the equation of the inequality shown graphed below

Answers

Answer:

2- -> y<_ X+ 3

DJDKFKFKFDJDMF

I need to reach the character limit

Gary had 30 tickets. He spent 8 tickets on cotton candy and each arcade game costs 3 tickets. What is the greatest number of arcade games gary can play?

Identify the variable, write an inequality and solve please.

Another question:
Nancy rents a car. The rental charge is $29.50 plus $19 per day. If the total bill was $143.50, how many days did Nacy rent the car?


Please answer both, thanks!

Answers

Answer:

7 games

Step-by-step explanation:

30-8=22 (eight tickets on cotton candy)

22 divided by 3 (each game) = 7

Gary can play 7 games with one ticket left over.

Part A- What is the discount rate at the store closing?

A.25%
B.40%
C.60%
D.90%

Part B- To the nearest penny, what is the value of x?

A. $28.62
B. $17.16
C. $10.80
D. $0.97

Part C- What is the value of z?

A. $1.95
B. $34.45
C. $19.50
D. $20.67

Answers

1 question I believe it’s A. 2 question I believe it’s C. 3 question I believe it’s B. Hope this help❤️.

Answer:

Part A answer is B 40% Part B answer is B 17.17 and i am not sure of part c

Step-by-step explanation:

I know these are right because my teacher gave me some of the answers

Pls solve it and show your work :((

Answers

Answer:

See below

Step-by-step explanation:

To graph the line we need two points, one point is the y-intercept, the second point to be calculated.

Q7

y = -3x + 6

The y-intercept is (0, 6)

Let the domain be x = 5 for the second point, then:

y = -3*5 + 6 = -15 + 6 = -9The point is (5, -9)

Connect these points to get the graph

Q8

y = 4/5x - 3

The y-intercept is (0, -3)

Let the domain be x = 5 for the second point, then:

y = 4/5*5 - 3 = 4 - 3 = 1The point is (5, 1)

Connect these two points to get the graph

Pls help me PLS this is 7th grade math

Answers

Answer:

C= 63 B=117

Step-by-step explanation:

c is the same as the opposite and subtract 180 from 63 to get 117

A car traveling at a speed of 36.1 m/s encounters an emergency and comes to a
complete stop. How much time will it take for the car to stop if it decelerates at -8.0 m/s

Answers

Answer: i do this by repeating subtraction 36.1-8 1sec -8 2sec 20-8 3sec 12-8 4sec remainder 4-8 is half second

So 4.5seconds

There is nicer way when you can write formulas

Step-by-step explanation:

Find the inequality represented by the graph

Answers

Answer:

y ≤ -3/2 x -2

Step-by-step explanation:

slope = - 3/2

y intercept = -2

y ≤ -3/2 x -2

Given triangle MNK below, find sin M/ Cos K

Answers

Answer:

The Answer is A

Step-by-step explanation:

its A I got it right

While studying abroad in France, you offer to bake your grandmother's famous cookies for other students in your program. You have a recipe which calls for 2.90 lb of flour, but, of course, in France you will need to purchase flour in kilograms. How many kilograms of flour does the recipe call for

Answers

Answer:

22.8 kl

Step-by-step explanation:

184. A student estimated a mass to be 40 g. After carefully measuring, she
found the actual mass to be 45 g. What is the percent of error?

Answers

Answer:

[tex]\boxed {\boxed {\sf About \ 11 \%}}[/tex]

Step-by-step explanation:

The formula for percent error is:

[tex]\% \ error = | \frac{measured \ value - actual \ value }{actual \ value} | *100[/tex]

For this, the measured value is the estimation of 40 grams. The actual value is the true mass of 45 grams.

[tex]measured = 40 \ g \\actual = 45 \ g[/tex]

[tex]\% \ error = | \frac{40 \ g - 45 \ g }{45 \ g } | *100[/tex]

Solve the numerator.

40 grams - 45 grams = -5 grams

[tex]\% \ error = | \frac{-5 \ g }{45 \ g } | *100[/tex]

Divide.

[tex]\% \ error = | \frac{-5 \ g }{45 \ g } | *100[/tex]

[tex]\% \ error = | -0.111111111| *100[/tex]

[tex]\% \ error = 0.111111111*100\\\% \ error = 11.11111 \\\% \ error \approx 11[/tex]

The percent error is about 11%

PLEASE HELP!!!

In which line did the student make the first mistake? (4 points)

Select one:
a. Line 2
b. Line 5
c. Line 3
d. Line 4

Answers

line 5 because line AB≈DF not DE

A farming community begins with one resident. Then every year, the number of residents multiplies by 10. Write an expression using an exponent to represent the number of residents in the community after 5 years.

Answers

The exponential equation that gives the number of residents in the community after 5 years is:

[tex]y(5) = 10^5[/tex]

What is an exponential equation?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

In this problem:

A farming community begins with one resident, hence a = 1.Then every year, the number of residents multiplies by 10, hence b = 10.

Then, the equation is:

[tex]y = ab^x = 10^x[/tex]

Hence, after 5 years, the population is:

[tex]y(5) = 10^5[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

is this function linear or nonlinear

Answers

Answer:

liner

Step-by-step explanation:

Answer:

they all are linear

Step-by-step explanation:

because they 1 is a member of 1, 4 is a member of 2, 9 is a member of 3, and 16 is a member of 4. hopefullt it makes sense

have a nice day

brainlist???

PLEASE ANSWER!!!
7.89 x 9.87

Answers

Answer:

77.8743

Step-by-step explanation:

that is the awse if not it should look like 77.874

Answer:

77.8743

That is the answer

7²×√144 plss I'm just a kid trying to do my homework and a big exam is coming up and I'm trying my best to study​

Answers

Answer:

7²×√144=7²×12=49×13=588

Explain why the area of the large rectangle is 10+20.

Answers

Answer:

30

Step-by-step explanation:

Researchers want to investigate if students retain more information if it printed on blue paper rather than white paper. They recruit 100 elementary students, 100 middle school students, and 100 high school students to participate. The researchers then randomly assigned half of the elementary students, half of the middle school students, and half of the high school students to receive the information on blue paper. The remaining students receive the same information on white paper.

Required:
Write down the best describes this experimental design.

Answers

Answer:

Stratified design with color of paper as the blocks

Step-by-step explanation:

The experimental design that this question uses is the stratified design with color of paper as the blocks

A stratified design is one where the population has been divided into strata that are homogeneous. A good number of participants would then be picked for each of the stratum. The homogeneous strata are also known as the blocks and here in this question we have color of paper as the block here.

The students are of different school levels, elementary, high school and middle school. Each of these levels have 100 students. The students in each levels are halved and each half is randomly assigned information on either a white paper or a blue paper.

Stratified design with color of paper as the blocks.

The experimental design that this question uses is the stratified design with color of paper as the blocks

Stratified sampling refers to a type of sampling method . With stratified sampling, the researcher divides the population into separate groups, called strata. Then, a probability sample (often a simple random sample ) is drawn from each group. Stratified sampling has several advantages over simple random sampling.The homogeneous strata are also known as the blocks and here in this question we have color of paper as the block here. The students are of different school levels, elementary, high school and middle school. Each of these levels have 100 students. The students in each levels are halved and each half is randomly assigned information on either a white paper or a blue paper.

Learn more:

brainly.com/question/23028893

What is the cm volume of a cube with 1/3 inch side s

Answers

Answer:

0.606928 or 0.61 rounded to the nearest hundredth

Step-by-step explanation:

it is a cube so all sides are equal:

Volume= a^3

V=(1/3)^3

V=1/27 in^3

convert in^3 to cm^3

1 in^3               16.3871 cm^3

1/27 in^3           ????

[1/27(16.3871)]/1 = 0.606928 or 0.61 rounded to the nearest hundredth

The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 salespeople in Washington made over a certain year. Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54 Washington: 42, 43, 56, 50, 49, 52, 53, 56 Assuming that the populations sampled can be approximated closely with normal distributions having the same variance, is there a difference in the number of sales between the Florida salespeople and the Washington salespeople?
Find s^2p (round off to the nearest integer)

Answers

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2  

H1 : u1 ≠ u2

x ( mean ) = 46.77,  y ( mean ) = 50.13 ,

s1^2 = 39.69,  s2^2 = 28.41,   n1 = 9 ,   n2 = 8

therefore :

Sp^2 = [tex]\frac{n1s1^2 + n2s2^2}{n1 + n2-2}[/tex] =  38.96  ≈ 39

performing test statistic

t = [tex]\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }[/tex]    = [tex]\frac{-3.36}{3.0330}[/tex] = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13  therefore e accept H0 at 5% .    This shows that there is no difference in sales

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.

2x + y^2 = 48, x = y

Answers

Answer:

Attached please find response.

Step-by-step explanation:

We wish to find the area between the curves 2x+y2=8 and y=x.

Substituting y for x in the equation 2x+y2=8 yields

2y+y2y2+2y−8(y+4)(y−2)=8=0=0

so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields

x=4−12y2

From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.

In this exercise we have to use the function informed to identify the value of the formed figure, then:

[tex]x=4-12y^2[/tex]

Given the following information in the exercise statement:

[tex]2x+y^2=8[/tex] [tex]y=x[/tex]

Substituting y for x in the equation:

[tex]2y+y^2\\y^2+2y-8(y+4)(y-2)=8[/tex]

Analyzing the equation formed, we can see that it will have the shape of a parabola, and that the values ​​of x will be between:

[tex]X: -4\leq y\leq 2[/tex]

See more about functions at brainly.com/question/5245372

WILL GIVE BRAINLIEST !!!

Use the Distributive Property to simplify the expression.

12(6−k) =

Answers

Answer:

72-12k plz mark brainlest

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\boxed{72-12k}}[/tex]

Step-by-step explanation:

Hello.

Please remember that the Distributive property states that

a(b+c)=ab+ac

Now, simplify:

12(6-k)

distribute 12 by multiplying it times 6 and -k:

72-12k

And we're done!

I hope it helps & have an outstanding day!
~ST2710 :)

a data set includes the entire 1,2,4,6,6 and 9. complete the data set with an entry between 1 and 9 so that the median and mode of the set are equal.​

Answers

Answer:

6

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

answer is four and six

Which line has no slope?

Line a

Line b
Line c

Line d

Answers

Answer:

line A....................

Answer:

Theres no picture for us to look at its just the answer. Post one and ill answer it for you.

7h + (-6.3d) -15 + 4d-2.6h

Answers

Answer:

2.3

d

+

4.4

h

15

Step-by-step explanation:

the answer for that question is 4.4h-2.3 d-15.

answer the following question please

Answers

Answer:

n to the second power is 1

the square root of n  is 2 square roots called √n and −√n √n2 = |n|

n = n

Step-by-step explanation:

The sum of three numbers is 11. The sum of twice the first number, 5 times the second
number, and 6 times the third number is 57. The difference between 3 times the first
number and the second number is 5. Find the three number

Answers

Answer:

the three number : 2  ,  1   , 8

Step-by-step explanation:

hello : here is an solution

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