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Artemon [7]
3 years ago
12

Can the side lengths of 3, 10, and 13 form a triangle?- quoara

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0

Answer:

No, it can not.

Step-by-step explanation:

For a triangle to exist. The two sides of length of every triangle added up must be greater than the other length.

Here,

13 + 3 > 10

13 + 10 > 3

but,

3 + 10 > 13 is false

so, the side lengths 3, 10, 13 can not form a triangle.

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Ilya [14]

Step-by-step explanation:

she needs to swap 5.2 for 5.02

since 5.02 is smaller than 5.2

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2 years ago
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Please need help asap!
beks73 [17]

Answer:

66

Step-by-step explanation:

(z-33)/z = 1/2

2z-66=z

z=66

6 0
3 years ago
There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. How many different ways can yo
Charra [1.4K]

Answer:

  120

Step-by-step explanation:

If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...

  720/6 = 120 different combinations of roller coasters

_____

This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...

  nCk = n!/(k!(n-k)!)

  10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120

4 0
3 years ago
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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

#SPJ10

7 0
2 years ago
Solve for p. <br><br> i = prt<br><br> p = i-rt<br> p = i/(rt)<br> p = (rt)/i
Debora [2.8K]

Answer:

<h2>p = (rt)/i</h2>

Step-by-step explanation:

i=prt\to prt=i\qquad\text{divide both sides by}\ rt\neq0\\\\\dfrac{prt}{rt}=\dfrac{i}{rt}\\\\p=\dfrac{i}{rt}

5 0
3 years ago
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