Can you construct a triangle with side lengths of 1 meter, 7 meters, and 8 meters?


Yes or no and explain

Answers

Answer 1

Answer:

No.

Step-by-step explanation:

No.

Each side of a triangle must have a length between the difference and the sum of the lengths of the other two sides.

Let's look at the sum and difference of lengths of 2 sides.

Side with length 1 and side with length 7; third side with length 8

sum of lengths of first two sides = 1 + 7 = 8

difference = 7 - 1 = 6

The third side would have to have a length between 6 and 8. The third side has a length of 8. For a triangle, the third side must be between the sum and difference. Here, the third side is equal to the sum, so there is no triangle.

As soon as one side does not work, there is no triangle, and you don't need to check the sums and differences of the other two sets of two sides.


Related Questions

An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

12, 13 ,14 ,15

Step-by-step explanation:

200x14=2,800

8,800-2,800=6,000

6,000/500=12

12+14=26

13+14=27

14+14=28

14+15=29

A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour

Answers

To find the the amount of how much the stadium is cleaned you can

Pleaseee Help
What is the area of the shaded sector?

Answers

Answer:

40π

Step-by-step explanation:

∅ = 360 - 135 = 225

a = (∅/360) * π * r²

a = (225/360) * π * 8²

a = 40π

Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
Carl spends a total of $16.40, how many daisies did he get and how many roses did he
get?

Answers

Answer:

Roses= $8.4

Daises= $15.6

Step-by-step explanation:

Let represent the daises and let r represent d roses

r + d= 24....equation 1

0.25r + 0.90d= 16.40.......equation 2

r= 25-d

Substitute 25-d for r in equation 2

0.25(25-d) + 0.90d= 16.40

6.25-0.25d+0.90d= 16.40

6.25+0.65d= 16.40

0.65d= 16.40-6.25

0.65d= 10.15

d= 10.15/0.65

d = 15.6

Sub 15.6 for d in equation 1

r+d= 24

r+15.6= 24

r= 24-15.6

= 8.4

Price of daises is $15.6

Roses is $8.4

A BIT OF HELP HERE- PLEASEE

Answers

Answer:

Solution given:

G=-17

H=5

distance =-17-5=-22

since distance is always positive so

distance between GH: 22 units.

Location

G=-17H=5

Find distance

|-17-5||-22|22units

15. Two samples of 126 people were surveyed
online and were asked, "Which is your favorite
flavor of drink?" The results are displayed below
Which choice is an inference that can be made
based on the survey results?
A More people prefer Grape over Orange
B Grape is preferred 18 to lover Cherry
C Cherry is preferred 26 to lover Tropical
Punch
D Sixteen times as many people prefer Orange
over Cherry

Answers

Answer:

Step-by-step explanation:

It’s b

If one data point is 36, which point would make 48 the mean?

Answers

60 explination, its pretty simple

All I need is for someone to explain how you get this answer !!
(The answer is the bottom part)

WILL MARK BRANLIEST

Answers

This is one of the easiest ways to get the answer

Answer:

THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE

Step-by-step explanation:

HOPE IT HWLPS

neeeeeeeeeeeeed help​

Answers

Answer:

[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}

[/tex]

D. 34 lakh

Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.

Answers

Answer:

$630 per week

Step-by-step explanation:

I assume the question is asking:

Amy's older  brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?

$18/hour* 35 hours/week = $630/week

ヾ(•ω•`)oヾ(•ω•`)≡( ̄ ‘i  ̄;)>︿<(╬▔皿▔)╯<(  ̄^ ̄)(θ(θ☆( >_<(╬▔皿▔)╯(╬▔皿▔)╯(╬▔皿▔)╯o((⊙﹏⊙))o.(⊙ˍ⊙)(。_。)(。_。)(。_。)(。_)oof

Answers

Answer:

A

Step-by-step explanation:

Answer:

Don't agree with 1 and 2, agree with 3

Step-by-step explanation:

1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.

2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.

3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.

g(x)=2x
h(x)=4x-3
Find (g-h)(2)

Answers

Answer:

-1

Step-by-step explanation:

g(x) = 2x

h(x) = 4x - 3

(g - h)x = g(x) - h(x)

g(x) - h(x) = 2x - 4x + 3

g(2) - h(2) = 2*2 - 4*2 + 3

g(2) - h(2) = -4 + 3

g(2) - h(2) = - 1

Which expressions are not equivalent
? Thanks!

Answers

Answer:

D

Step-by-step explanation:

There is no 2x in D answer

7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:

Answers

No Vertex : 3
Axis of symmetry :1
Y-intercept : (0,13)

What is the mode of the data below?
45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51

Answers

Answer:

23

Step-by-step explanation:

have a good day :)


Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.

Answers

idek how to do this sorry

Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answers

Answer:

The answer is "0.9192".

Step-by-step explanation:  

[tex]\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\[/tex]

                          [tex]=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192[/tex]

Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units​

Answers

Answer:

C, 9+ the square root of 41

Step-by-step explanation:

got it right on edge :)

The standard deviation of SAT scores for students at a particular Ivy League college is 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 26 points.
(a) Raina wants to use a 90% condence interval. How large a sample should she collect?
(b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning.
(1) smaller since Luke has a higher level of confidence in his results than Raina
(2) smaller because higher degrees of confidence require smaller margins of error
(3) larger higher degrees of confidence require larger margins of error
(c) Calculate the minimum required sample size for Luke.

Answers

Answer:

A

Step-by-step explanation:

59473737388338338383839393

Can somebody tell me exactly what to put in the answer please

Answers

Answer:

I am sorry I don't know it, but once I find out I will tell you

Step-by-step explanation:

Answer:

Cylinder has no sharp points but cone as sharp edge.

27leejaey avatar

I hope that helps :D

Step-by-step explanation:

Cylinder has no sharp points but cone as sharp edge.

27leejaey avatar

I hope that helps :D

What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?

Answers

Answer:

B.

Step-by-step explanation:

First find the lengths of the DE and DG

DG=

[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]

DE=

[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]

[tex] \sqrt{17} [/tex]

Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides

[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]

Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)

Answers

Answer:

[tex]P=0.866[/tex]

Step-by-step explanation:

From the question we are told that:

Present value of iron [tex]x_v=\$1230[/tex]

Present cost of iron [tex]x_c=\$1065[/tex]

Probability of payment [tex]P_p=0.77[/tex]

Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]

Cost of knowing customer status [tex]x_k=\$15.25[/tex]

Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by

 [tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]

 [tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]

  Where

  [tex]E_p=0[/tex]

  [tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]

Therefore

 [tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]

 [tex]165P-1065+1065P=0[/tex]

 [tex]P=\frac{1065}{1230}[/tex]

 [tex]P=0.866[/tex]

Therefore the minimum probability at which credit can be extended is given as

 [tex]P=0.866[/tex]

 [tex]P=86.6\%[/tex]

what's the answer to this? (freckle)

Answers

Answer:

2/3

Step-by-step explanation:

Which ordered pair is a solution to the equation? y=x3/4
(8, 6)


(−8, 8)


(6, 8)


(−4, 1)

Answers

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

y=8(3/4)

y=24/4

y=6

when you input 8 for x, you get 6 for y.

Answer:

Step-by-step explanation:

y = x3/4 is ambiguous.  I will assume that you meant

       x^3

y = ---------

         4

Then, if x = 8,  y = 128 (not a solution)

If x = -8, y = -128 (not a solution)

If x = 6, y = 54 (not a solution)

If x = -4, y = -1/4 (not a solution)]

Ensure that you have copied down this problem correctly.

f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).

Answers

f(3x+1)=-6x-5 hope this helps!!

Write an equation in slope-intercept form for the following line:

(-14,1) and (13,-2)

Answers

Answer:

[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

[tex] \large \boxed{y = mx + b}[/tex]

We already know m-value as we substitute it.

[tex] \large{y = - \frac{1}{9} x + b}[/tex]

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]

Finally, we know b-value. Then we substitute it in our equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

16+8+4+2+1+1/2+1/4+1/8+....
Find the sum of the infinite geometric series.

Answers

Answer:

31 7/8

16+8=24

4+2=6

2/4+1/4=3/4+1/8=7/8

Identify the following fractions as either proper or improper. 8. 14⁄ 15

Answers

Answer:

proper I believe if I'm wrong sorry

HURRY!!!!!!!!!!!!!!!!!! A stack of cards contains 21 red cards and 17 black cards. what are the odds against drawing a red card? a.17:21 b. 21:17 c. 17:28 D.28: 17

Answers

Answer:

the answer should be ( b ) if I did this correctly

please help asap !!!!​

Answers

Answer:

P = 3/8

q = 1/2

Step-by-step explanation:

(3/8)^3/8 × (3/8)^1/8 = P^q

Because of the same base, pick one of the bases

Then, add the powers

(3/8)^3/8 × (3/8)^1/8 = P^q

= (3/8)^3/8 + 1/8

= (3/8)^(3+1)/8

= (3/8)^4/8

= (3/8)^1/2

Therefore,

P^q = (3/8)^1/2

Where,

P = 3/8

q = 1/2

P^q = (3/8)^1/2

= √(3/8)

Other Questions
When describing North Korea, isolation refers to the countrys lack of: a. Major citiesb. Neighboring countriesc. Contact with the out-side worldd. news organizations A train travels at a constant speed of 80 miles per hour. How many miles will the train travel in 15 minutes? please help this is 8th grade math btw Which of the following does NOT represent a function? True or False: Muscle memory occurs when you practice a movement a lot and the body remembers it. Please Help Me with this guys!! i need the answer to be typed please i cant see pics my school blocked them on my laptop oofie so please type it out i left the school? that is good for me? Which towns are decreasing in size? The amount of water vapor present in the air isA water vapor B humidityC anemometer D air pressure Someone help me please and thank you Describe two ways in which the Trafficking victims law reauthorized act of 2005 protects citizens against human trafficking Solve equation 0=5x+3 what politician released Nelson Mandela from prison. Until the 1950's, plants and fungi were generally classified together in Kingdom Plantae. Now, they are classified in separate kingdoms.Which of the following is a characteristic they share? Dos masas con valores de 8kg y 12kg cada una se encuentran separadas por una distancia de 1m. Determinar la fuerza de atraccion gravitacional entre ellas si se compara con el valor de sus pesos Como es este valor? What do the humans feel toward Animal Farm now that it is prospering in Chapter 6 of Orwell's AnimalFarm? Barry can run 3/8of a race in 1/2 hour.Enter the amount of the race Barry can run in 1 hour. tmrws my bday............................................................ Describe how global culture is impacting the preservation of indigenous culture. What does the following code print? // upload only .txt file ***************************************************** public class { public static void main(String[] args) { int x=5 ,y = 10; if (x>5 && y>=2) System.out.println("Class 1"); else if (x5) System.out.println(" Class 2"); else System.out.println(" Class 3"); }// end of main } // end of class. The graph of proportional relationship passes through the given points. Find y.(4,8), (1, y)