3 years ago

Which of the following can be the side lengths of a triangle?

1 answer:

7 0

In a triangle the sum of two sides is always greater than the third side.

A:12,9,21
12+9 = 21
21 = 21 ⇒ no

B:7,6,12
7+6 = 13
13 > 12 ⇒ yes

C:3,8,14
3+8 = 11
11 < 14 ⇒ no

D:23,13,37
23+13= 36
36 < 37 ⇒ no

Answer: B:7,6,12

You might be interested in

2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for

kvv77 [185]

The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.

5 0

3 years ago

Read 2 more answers

Differentiate Functions of Other Bases In Exercise, find the derivative of the function.

WARRIOR [948]

Answer:

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

Step-by-step explanation:

given

$y = \log_{10}{(x^2+6x)}$

using the property of log $\log_ab=\frac{log_cb}{log_ca}$ , and if c = $e$ , $\log_ab=\frac{ln{b}}{ln{a}}$ , we can rewrite our function as:

$y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}$

now we can easily differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)$

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)$

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

This is our answer!

3 0

3 years ago

Read 2 more answers

Adrian pays his niece $30 to babysit for 5 hours. Which expression models the change in the amount of Adrian’s cash each hour th

damaskus [11]

Both would be B! I hope this helps!

6 0

2 years ago

What does the ratio 2 frogs : 5 turtles mean?

Reptile [31]

Hi,

That means on 2 frogs in some group there are 5 turtles.

Hope this helps.
r3t40

7 0

3 years ago

Onions are on sale at four different grocery stores. Which store offers the

Helga [31]

Farm fresh because for $3.20 you get four pounds which is the better deal

4 0

2 years ago

Read 2 more answers