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
erastova [34]
3 years ago
7

The sides of a triangle are 7, 4, n. If n is an integer, state the largest and smallest possible values of n. smallest value- la

rgest value- plz help
Mathematics
1 answer:
VLD [36.1K]3 years ago
8 0
The smallest value it could be is 4 and the largest value it could be is 10.

The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side.  Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.

If we take the unknown side and the smallest one we're given, we would have the inequality 
n+4>7

Subtracting 4 from both sides we would have n>3.  That means it would have to be the next integer up, which would be 4.
You might be interested in
Carlos has $500 in his savings account that pays 3% simple interest. What is the amount of money Carlos will have in his bank ac
sleet_krkn [62]

Answer:

$1766

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Only using 1 2 3 4, find a solution that equals 18, 19, 20, and 21
adoni [48]

Answer:

See below, there may be more than one answer

Step-by-step explanation:

4(3+1)+2 = 18

(4+2)(3)+1 = 19

(1)(2+3)(4) = 20

(1+2)(3+4) = 21

6 0
3 years ago
F(x)=<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2-4%7D" id="TexFormula1" title="\sqrt{x^2-4}" alt="\sqrt{x^2-4}" align="abs
hammer [34]

Solve for <em>x</em> when √(<em>x</em> ² - 4) = 1 :

√(<em>x</em> ² - 4) = 1

<em>x</em> ² - 4 = 1

<em>x</em> ² = 5

<em>x</em> = ±√5

We're looking at <em>x </em>≤ 0, so we take the negative square root, <em>x</em> = -√5.

This means <em>f</em> (-√5) = 1, or in terms of the inverse of <em>f</em>, we have <em>f</em> ⁻¹(1) = -√5.

Now apply the inverse function theorem:

If <em>f(a)</em> = <em>b</em>, then  (<em>f</em> ⁻¹)'(<em>b</em>) = 1 / <em>f '(a)</em>.

We have

<em>f(x)</em> = √(<em>x</em> ² - 4)   →   <em>f '(x)</em> = <em>x</em> / √(<em>x</em> ² - 4)

So if <em>a</em> = -√5 and <em>b</em> = 1, we get

(<em>f</em> ⁻¹)'(1) = 1 / <em>f '</em> (-√5)

(<em>f</em> ⁻¹)'(1) = √((-√5)² - 4) / (-√5) = -1/√5

The sign must be negative; see the attached plot, and take note of the negatively-sloped tangent line to the inverse of <em>f</em> at <em>x</em> = 1.

3 0
3 years ago
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
pishuonlain [190]

Answer:

third angle =180-two congruent angles. is expression.

4 0
2 years ago
Can I please help me with this question
quester [9]

Answer: 10n^2+n+9‎‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

3 0
2 years ago
Other questions:
  • Please help me!!! :)
    15·1 answer
  • Is 17.156489 rational
    12·1 answer
  • What is equivalent to 5/1,215^x?
    9·1 answer
  • If 0 is in quadrant II and sin^2 0=3/4 evaluate tan0
    10·1 answer
  • Help.help.help.help.help lol but i need help on this as quick as possible:)
    7·1 answer
  • What is the slope of the line that passes through (2,12) and (4,20)
    14·1 answer
  • Which of the following expressions is equal to 6^4
    5·2 answers
  • Mr. Linder's groceries totaled $120.40 before taxes. What is the total cost of the groceries with a sales tax of 5% added?
    5·1 answer
  • A child earns $5 each week for watering a neighbor’s garden. Which equation represents the total amount the child earns, t, for
    10·1 answer
  • Expand each logarithm. log 2 x³y⁻²
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!