All categories

2 years ago

27

Mathematics

1 answer:

topjm [15]2 years ago

5 0

Answer:

B. 27 < AB < 81

Step-by-step explanation:

The triangle inequality requires that the length of any given side of a triangle be greater than the difference and less than the sum of the other two sides.

<h3>application</h3>

54 -27 < AB < 54 +27

27 < AB < 81

_____

<em>Additional comment</em>

Some versions of the triangle inequality allow the "or equal to" case.

27 ≤ AB ≤ 81

Apparently, the one used here does not.

If the sum of the two short sides is equal to the long side, the "triangle" looks like a line segment. Its altitude and area are zero.

You might be interested in

Find the value of (a+b)^2 if a^2+b^2=10 and ab=3

seropon [69]

Answer:

(a+b)^2 if a©+2b

Step-by-step explanation:

i not sure

6 0

3 years ago

Read 2 more answers

Find the distance between (-5,3) and (2,-1).

natali 33 [55]

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

6 0

4 years ago

Read 2 more answers

How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

${11 \choose 1} = 11$

${11 \choose 2} = \dfrac{11 \times 10}{2} = 55$

${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

6 0

3 years ago

If 15/3 greater than 7, then 15/7 is less than 3 true or false

Ludmilka [50]

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

3 0

3 years ago

Solve this system using elimination.<br><br> 3x+4y=5<br> 2x+3y=4<br><br> Show work please

inna [77]

3x+4y=5
2x+3y=

-2(3x+4y)=5(-2)
3(2x+3y)=4(3)

-6x-8y=(-10)
6x+9y=12

Add the equations

-6x-8y=(-10)
+ 6x+9y=12
-----------------
0x+y=2
y=2

Substitue y into an equation

6x+9(2)=12
6x+18=12
6x=-6
x = -1
y = 2

5 0

3 years ago