Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?

Answers

Answer 1

Answer:

the desired range is 2 < t < 12.

Step-by-step explanation:

If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).

Since triangle ABC is acute, all its angles are between 0 and 90 degrees.  So the third side can be 12 but not greater.  The smallest possible length of the third side is 2, since 5 + 2 = 7.

Thus, the desired range is 2 < t < 12.


Related Questions

The figure shows a parallelogram inside a rectangle outline:

A parallelogram is shown within a rectangle. The length of the rectangle is 3 over 4 foot and the width of the rectangle is 1 over 2 foot. The two equal bases of the triangles outside the parallelogram are labeled 1 over 8 foot.

What is the area of the parallelogram? (1 point)

Select one:

a.
1 over 32 square foot


b.
5 over 16 square foot


c.
9 over 32 square foot


d.
6 over 16 square foot

Answers

Answer:

well this is the answer

Step-by-step explanation:

identity the vertex, focus, and directrix

Answers

Answer:

vertex: (0, 0)

focus: (-7, 0)

directrix: x=7

Step-by-step explanation:

divide both sides by (-1/28) and you will get y^2=-28x-28=-4p ----> p=7focus=(-p, 0) ------> (-7, 0)directrix=x=p  ---------> x=7

WILL GIVE BRAINLIEST IF YOU ANSWER MY QUESTION!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

i need help with this

Answers

sorry i don't know this one wish i could help

35 percent of the students are boys which is 259 find the total number of the students and girls​

Answers

Answer:

740 total students, 481 total girls

Step-by-step explanation:

Let x be the total number of students and y be the total number of girls

x -

You know that 35% of the students is 259 students. If you convert this into algebra, you can write : 0.35x = 259, after simplifying, you know that x = 740.

y-

You know that 35% of the students are boys, so 65% must be girls. You can say that 65% of x is y and write the equation 0.65(740)=y. After simplifying, you can see that y = 481.

I hope this helps :)

Solve using the elimination method! 2x + 8y = 4 x - 5y = 11

Answers

Answer: The answer is {(0,0)} !

Step-by-step explanation:

6.Adah has a box in the shape of a cube. She is trying to determine how to find the volume. So, she asks her friends Luis, Emily, Francesca and Roberto. However, she knows only one can be correct, who is it?A.Luis states that she needs to find the area of each face, and then add them together.B.Emily states that you only need to find the area of one side and then multiply by four (the number of sides around the cube).C.Francesca states that you need to find the area of the bottom and the four sides. Since the cube is open at the top, you don’t need to include that.D.Roberto said that you need to find the area of the base and multiply by the height of the cube.

Answers

Answe I believe the answer would be D

Step-by-step explanation:

Find a and b.........

Answers

Answer:

a is 10

b is 37

Step-by-step explanation:

Now we must agree that the diagram above is a parallelogram.

this figure has its opposite sides parallel to each other, and also equal to each in length, this means a+5=15.

hence a is 10.

and the opposite angles of the parallelogram are equal thus, 111=3b,

hence b is 37°.

I must say I was shocked to see 111 is divisible by 3...

well you can follow me, for questions or further explanations.

HI THIS IS MY FIRST QUESTION EVER ASKED AND I AM TOLD THAT BRANILY IS A GOOD PLACE FOR HELP SO COULD I GET SOME HELP PLEASE PS. SORRY ABOUT THE CAPS.

Answers

Answer:

C, D, C, A, B

Step-by-step explanation:

What decimal is equivalent to 9/12?​

Answers

Answer:

0.75

Step-by-step explanation:

Complete the division to convert the fraction to a decimal. You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75.




What is 35% of 78?

Answers

27.3 is the answer to the question

3

=
10
q

start fraction, 3, divided by, 5, end fraction, equals, start fraction, q, divided by, 10, end fraction
q =q=q, equals

Answers

What are you asking I’m lost

This graph represents the path of a baseball hit during practice.

Downward opening parabola with (0,0.5), (6.16, 0) and vertex (3,5)

What does the x-value of the vertex represent?

Question 1 options:

the maximum height of the baseball


ground level


the time the baseball was hit


the time the baseball reached its maximum height

Answers

Answer:

Step-by-step explanation:

x-coordinate of the vertex is the time the baseball reaches maximum height.

4 2/5 + k = −3 2/11

What is k?

Answers

Answer:

Step-by-step explanation:

4⅖ = 22/5 = 242/55

-3 2/11 = -35/11 = -175/55

k = -175/55 - 242/55 = -417/55 = -7 32/55

Can i get the answer please
I will give a brainliest and a thank you

Answers

Yes I agree with her it’s c (give her brainlyest if you want ;)

plz plzz help due in 10min will mark brainlyest Quadrilateral and Right Triangle

Answers

The first thing be is approximately 8.06 and the next on is around 7.5

What is the missing side length of the pyramid if the volume is 1,026 cubic inches

Answers

Answer:

18

Step-by-step explanation:

Find the value of x.

Answers

Answer:

the answer is 49

Answer:

41 degrees

Step-by-step explanation:

180-90-49 = 41

Please help- will give brain list

Answers

It, the triangle is gonna be 56

If you could answer all parts to this problem it’ll make my day . please

Answers

Answer: 40x25=1,000 and 64x40=2,560! Does this help

?

Separate the triangles then figure out the formula

Pls help I don’t understand

Answers

Hi there, it wont let me leave this page without posting a answer and I don't have an answer. I dont know why it wont let me.. So I thought instead of just posting a blank answer I would give you an explination for my actions. I am not doing this on purpose or for points im just trying to help others.. If you want you can reply back to my comment and I will give you 10 coins. Since I did just take 5 of yours, and it seems only fair. Again my apoligizes.

The table below shows a record of three Baloon Pop games.



Number of Players
game 1 players: 52
game 1 winners: 14
game 2 players:77
game 2 winners: 25
game 3 players: 61
Game 4 winners: 25


Based on the data recorded in the table, how many winners would you expect if there are 100 players?

Answers

30 winners if there were 100 players

There are 33 winners which would you expect if there are 100 players, and its calculated values can be defined as follows:

 

Winning percentage:

                    [tex]\text{Number of Players } \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{ Number of Winners}[/tex]

game 1                   52                                               14

game 2                  77                                                25

game 3                   61                                                25

Total                      190                                               64

According to Heath, there have been 64 winners out of a total of 190 players.

[tex]\to \frac{64}{190}\\\\\to 0.33\\\\[/tex]

Calculating the Winning percentage [tex]= 0.33 \times 100= 33\%[/tex]

Find out more information about the percentage here:

brainly.com/question/24681811

A painter is building scaffolding to paint the ceiling of a tall building. Each section of scaffolding is in the shape of a rectangle and measures 8 feet wide by 17 feet long. The painter uses metal piping along the diagonal to secure the scaffolding. Which measurement is closest to the length of the diagonal piping?

Answers

Answer:

18.79

Step-by-step explanation:

The equation a + b = c could be true or false.

Answers

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Estimate 32.8×21.2 what is it. can you help ​

Answers

your answer will be :695.36

Answer:

695.4

Step-by-step explanation:

Find the sum of 13x+5 and 8+25x.

Answers

38x+13 is the sum :)

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.


What is the notation?

Answers

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circle in square centimeters?

Answers

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

The area of the circle whose radius be 5p⁶q³ is 25πp¹²q⁶ square centimeters.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A circle has a radius of [tex]\rm 5 \ p^6 \ q^3[/tex] cm.

The area of the circle can be found using the formula

[tex]\rm A = \pi \ r^2[/tex]

Then the area of the circle will be

[tex]\rm A = \pi (5 \ p^6 \ q^3)^2\\\\A = \pi * 5^2 \ (P^6)^2 (q^3)^2\\\\A = 25 \ \pi \ p^{12} \ q^6[/tex]

Thus, the area of the circle is 25πp¹²q⁶ square cm.

More about the circle link is given below.

https://brainly.com/question/11833983

verify/prove the following trigonometric identity:
cos (x)/sec (x) + sin (x)/csc (x) = sec^2 (x) − tan^2 (x)

Answers

Answer:

I THINK IT WORKS

TRY IT

Ashley purchased a prepaid phone card for $25.75. Calls cost 6 cents a minute using this card. The credit, C (in dollars), left on the card after it is used for x
minutes of calls is given by the following.
C= 25.75 -0.06x

Answers

That would be correct
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