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
tamaranim1 [39]
2 years ago
13

Which set of side lengths could be used to make a triangle?

Mathematics
1 answer:
Vladimir79 [104]2 years ago
3 0

Answer:

C. 22 cm, 8 cm, 27 cm

Step-by-step explanation:

In order to make a triangle with given side lengths, sum of any two side lengths must always be greater than the third side.

here,

22  + 8 = 30 > 27

8 + 27 = 35 > 22

27 + 22 = 49 > 8

Hence, C. 22 cm, 8 cm, 27 cm  is the correct option.

You might be interested in
Algebra 2B U2 L6 Function Operations practice 8-10
Bess [88]

Answer:

1) f(g(0)) = 0

2)  g(f(2)) = 2

3)  g(g(0)) = 8

Step-by-step explanation:

Here, the given functions are:

g(x)  =  3 x +2 and f(x)=  (x-2)/3

1. Now, f(g(x))  =   f(3x+2)

Also,  f(3x+2) = (3x+2 -2) /3 = x

So, f(g(x)) = x

⇒ f(g(0)) = 0

2.  g(f(x))  = g((x-2)/3) = 3((x-2)/3) +2

or, g(f(x)) =   x

⇒  g(f(2)) =   3((2)-2/3) +2   = 2  

or, g(f(2)) = 2

3.  g(g(0)= g( 3 (0) +2)  = g(2)

Now, g(2)  = 3(2) +  2 = 6 +  2 = 8

or, g(g(0)) = 8

6 0
3 years ago
3f + 9 &lt; 21<br> Help please
fiasKO [112]

Answer:

f < 4

Step-by-step explanation:

3f + 9 < 21

21 - 9 = 12

12 / 3 = 4

4 0
3 years ago
Read 2 more answers
chegg evaluate the following integral using trigonometric substitution. dx/square root(x^2-81), x &gt; 9
vesna_86 [32]

Integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c  .

Given  ∫ 1 dx / ( x^{2} - 81 )

Put ,

x = 9 secθ

dx = 9 secθ tanθ dθ

and

\sqrt{x^{2}  - 9^{2} } = 9 tanθ

Substituting values in  ∫ 1 dx / ( x^{2} - 81 ) ,

∫ (9 secθ tanθ ) dθ / ( 9 tanθ )

∫ secθ dθ = ln | secθ + tanθ | + c

                = ln | ( x /9 ) + ( \sqrt{x^{2}  - 9^{2} } / 9 ) | + c

              = ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c

Hence , the integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c .

To learn more on integration follow link :

brainly.com/question/20156869

#SPJ4

6 0
2 years ago
Tenho que compra lápis e canetas. Se comprar sete lápis e três canetas, gastarei R$16,50. Se comprar cinco lápis e quatro caneta
pentagon [3]
In American: I have to buy pencils and pens. If I buy seven pencils and three pens, I'll spend $ 16.50. If I buy five pencils and four pens, I'll spend $ 15.50. What is the price of each pencil and pen?
Idk the answer
7 0
3 years ago
Dustin has only nickels and quarters in his piggy bank. He was 49 total for combined value of $8.85. How many of each type of co
Troyanec [42]
Let's use the variables N and Q for the number of nickels and the number of quarters.

We know there are 49 total coins, so we can write the following equation:

N + Q = 49

We can solve this equation for one variable which will help in the next step. Let's solve for N:

N = 49 - Q

Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.

0.05N + 0.25Q = 8.85

Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.

0.05(49-Q) + 0.25Q = 8.85

Distribute and combine like terms.

2.45 - 0.05Q + 0.25Q = 8.85

2.45 + 0.2Q = 8.85

0.2Q = 6.4

Q = 32

Plug 32 in for Q in N + Q = 49 to find the number of nickels.

N + 32 = 49

N = 17

Dustin has 32 quarters and 17 nickels.


4 0
3 years ago
Other questions:
  • I’m confused on this one
    8·1 answer
  • WILL GIVE BRAINEST <br>If f(x)=5x^2-3....
    8·1 answer
  • What is the total amount of square miles in europe?
    10·1 answer
  • Find the value of x and please write how you did it.
    13·2 answers
  • Amy raises $ 58.75 to participate in a walk-a-thon. Jeremery raises $ 23.25 more then Amy. Oscar raises three times as much as J
    5·2 answers
  • Work out the volume of a cuboid of edge 4cm by 4cm by 7cm
    11·1 answer
  • What is the slope of the line given by the equation y = 3x? enter your answer as an integer.
    6·1 answer
  • Help please..I have no clue
    11·1 answer
  • Please help me thanks please
    7·1 answer
  • Please help me asap:((((
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!