The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm. Rounded to the nearest tenth, what is the greatest possible value of x? 6.3 6.4 7.0 7.1

Answers

Answer 1

Answer:

The greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 .

In an obtuse triangle, the longest side is opposite the obtuse angle. To determine the greatest possible value of x, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the longest side measures 20 cm, and the two shorter sides are x cm and 3x cm. So, we have the following inequalities:

x + 3x > 20 (sum of the two shorter sides must be greater than the longest side)

20 + x > 3x (sum of the longest side and the shorter side must be greater than the other shorter side)

20 + 3x > x (sum of the longest side and the other shorter side must be greater than the remaining shorter side)

Let's solve these inequalities:

4x > 20

x > 5

20 + x > 3x

20 > 2x

10 > x

20 + 3x > x

20 > -2x

-10 < x

So, the greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 (rounded to the nearest tenth). Therefore, the greatest possible value of x is 6.4 cm.

To know more about greatest possible value click here :

brainly.com/question/12402727

#SPJ12

Answer 2

Answer:

Answer:

7.1

Step-by-step explanation:

because pythagorean theorem

c² > a² + b²

20² > x² + 3x²

400 > 4x²

÷4 ÷4

100 > x²

10 > x 400 > 4(7.1)²

400 > 4(50.41)

400 > 201.64

Related Questions

A bag contains 9 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the probability that the two chips are the same color?That would be the probability of two reds PLUS the probability of two blues.The probability of two reds is (9/21)*(8/20) = 72/420 The probability of two blues is (12/21)*(11/20) = 132/420. The sum is 204/420 = 51/105 = 45.87% A magician asks you to pick a card, any card from a standard deck of 52 cards. What is the probability of picking an ace?A magician asks you to pick a card, any card from a standard deck of 52 cards. What is the probability of picking an ace?lucy fills a pot with a mixture of 1200 black beans and 300 white beans, all the same size. When she grabs a handful of 15 beans, she finds that 10 are black. What is the probability of choosing a white bean?
Use the REMAINDER THEOREM to explain whether or not (x-2) is a factor of F(x)=x^4-2x^3+3x^2-10x+3
Seth traveled 1 mile in 57.1 seconds. about how fast does seth travel in miles per hour
How many significant digits are in 80,000
How do you divide the decimal number 25.5/0.05

2.)Which is a solution to the equation?(x −2)(x + 5) = 18
x = −10

x = −7

x = −4

x = −2

Answers

$(x-2)(x+5) = 18\n x^(2)-2x+5x-10=18\n x^(2)+3x-28=0\n delta=3^(2)-4*1*(-28)=9+112=121\n x_(1/2)= (-3+11)/(2)/ (-3-11)/(2)=4/-7$

So the answer is -7=x

Answer:

x=-7

Step-by-step explanation: it's B on edg

You have 8 dime you trade each dime for 10 pennies. How mainly pennies will you have?

Answers

youll have 80 pennies. dime=.10 10x8=80

i think u would have 80 cents because if u have 8 dimes nd each of them r ten cents so u would do 8 times ten nd that gives u 80 lolz

agnes and simore spend 2 hours painting 34 miniature figures that they use to create artistic scenes agnes paints 14 figurines what is the average rate at which samone paints figurines ?

Answers

Answer:

Samone paints 20 figurines in 2h or 120min

average speed at which Samone paints figurines: 120/20 = 6min

she paints at a speed of 6min/figure

Step-by-step explanation:

What is the probability of not drawing a green marble from a jar containing 7 red, 4 green, 3 white, and 9 blue marbles?

Answers

$7+4+3+9$
$11+12$
$23$

$(23)/(23) - (4)/(23)$

$(23-4)/(23)$

$(19)/(23)$ $chance$

Answer:

Probability of not drawing a green marble is 19/23.

Step-by-step explanation:

A jar is containing 7 red, 3 white, and 9 blue marbles.

Then the probability to draw a green marble will be = Numbers of green marbles/ Total numbers of marbles of all colors

P(G) = 4/(7 + 4 + 3 + 9)

P(G) = 4/23

Now the probability of not drawing a green marble = 1 - probability of drawing a green ball

P = 1 - 4/23 = 19/23

Therefore answer is 19/23.

Kanna proofreads 15 pages in 2 hours for $40.a. What is her proofreading rate in pages per hour?
_____________________
b. How much does she receive on an average for a page?
_____________________

Answers

Answer:

A is 7.5

B is 2.6

Step-by-step explanation:

15/2=7.5

40/15=2.6

(Sorry if it isn’t the best math isn’t my strong suit)

Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1).

Answers

The value of f(-1) is -6

what is function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Given:

f(x) = 12/ (4x +2)

for x=-1

then,

f(-1) = 12/ ( 4(-1) + 2)

f(-1) = 12/ (-4 + 2)

f(-1) = 12/(-2)

f(-1) = -12/2

f(-1) = -6

Hence, the value of f(-1) is -6

Learn more about function here:

brainly.com/question/23712366