1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Charra [1.4K]
2 years ago
5

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

Mathematics
1 answer:
solong [7]2 years ago
5 0

Answer:

20.

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are a, b, and c:

a + b > c,

a + c > b, and

b + c > a.

In this question, the length of the sides are 10, 24, and x. The length of these sides should satisfty the following inequalities:

10 + 24 > x,

10 + x > 24, and

24 + x > 10.

Since x > 0, the inequality 24 + x > 10 is guarenteed to be satisfied.

Simplify 10 + 24 > x to obtain the inequality x < 35.

Similarly, simplify 10 + x > 24 to obtain the inequality x > 14.

Since x needs to be a whole number, the greatest x that satisfies x < 35 would be 34. Similarly, the least x\! that satisfies x > 14 would be 15. Thus, x\!\! could be any whole number between 15\! and 34\! (inclusive.)

There are a total of 34 - 15 + 1 = 20 distinct whole numbers between 15 and 34 (inclusive.) Thus, the number of possible whole number values for x would be 20.

You might be interested in
What is (x,y) (x-4, y+2)? A. rotation B. reflection C. Transition D. Dilation
Novosadov [1.4K]

Answer:

im pretty sure it’s a sorry if i’m wrong

Step-by-step explanation:

5 0
3 years ago
34,977 ×2,344 is even are odd number
Contact [7]

Answer:

The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.

Step-by-step explanation:

6 0
2 years ago
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the t
DaniilM [7]

Answer:

The answer is 6.

Step-by-step explanation:

If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.

You would divide 270 ÷ 45 = 6.

6 0
2 years ago
SOME ONE PLEASE HELP I WILL GIVE 20 POINTS
exis [7]
The answer to this question is 7x+1
7 0
2 years ago
Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to
dlinn [17]

Answer:

0.01024

Step-by-step explanation:

Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;

Number of time slots, n = 5

Required to mark, number of preferred timeslot x = 2

P(x) = 2 /5 = 0.4

Probability of 0.4 that an interviewee gets one of his preferred timeslot.

Probability that each of the 5 interviewees gets one of their preferred time slots :

Using the multiplication rule of independence :

0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024

0.01024 * 100% = 1.024%

6 0
3 years ago
Other questions:
  • 2+1 5/4=<br><br> 4 1/2<br> 4 1/4<br> 4 3/4<br> 4 1/5
    6·1 answer
  • Which of the following equations is the equation 2 - 3y + 6x = 0 written in slope-intercept form?
    8·2 answers
  • The product of two Even numbers
    9·1 answer
  • Help please with question 7!!
    15·1 answer
  • 2. The east-west streets and north-south avenues of a certain city are numbered consecutively from south to north and west to ea
    7·1 answer
  • ACK HELP ITS DUE IN TWENTY MINUTES
    13·1 answer
  • Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9)
    10·1 answer
  • Can anyone tell me what is 2/5 x 3/2 ?
    8·2 answers
  • Write the expression using exponents 5.2 • y • y • y =
    14·1 answer
  • 15
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!