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kherson [118]
3 years ago
10

Now heres the tricky part​

Mathematics
1 answer:
loris [4]3 years ago
4 0

13. Answer: n ≥ 108

<u>Step-by-step explanation:</u>

18 ≤ n ÷ 6

<u>×6 </u>  <u>    ×6 </u>

108 ≤ n       →   n ≥ 108

Note: The line under the inequality symbol represents a closed dot

Graph: 108 ·---------------→

************************************************************************************

14. Answer: x > -4

<u>Step-by-step explanation:</u>

 -3x <  12

<u>÷(-3) </u>  <u>÷(-3) </u>

    x > -4      <em>Flip the inequality sign when × or ÷ by a negative </em>

Note: No line under the inequality symbol represents an open dot

Graph: -4 o-----------→

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polet [3.4K]

Answer:  8.5

Step-by-step explanation:

I just took the quiz last week.

7 0
3 years ago
What is the missing length.
nasty-shy [4]

Answer:

KS = 12

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, \frac{KL}{KR} = \frac{KM}{KS} (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

\frac{65}{13} = \frac{60}{KS}

Cross multiply

65*KS = 60*13

65*KS = 780

\frac{65*KS}{65} = \frac{780}{65}

KS = 12

4 0
3 years ago
What is the greatest common factor of <br><img src="https://tex.z-dn.net/?f=24%20%7Ba%7D%5E%7B3%7D%20c" id="TexFormula1" title="
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If you're not sure, begin by looking for any divisor that will divide into 24a^3c and 3a without leaving a remainder.  Note that 3 is such a number, and a is another.  

Factoring out 3a from 24a^3*c and 3a, we get 3a{8a^2*c, 1}

So the GCF is 3a.

8 0
4 years ago
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
kvasek [131]

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Worldwide, the proportion of babies who are boys is about 0.51 . Let the random variable X represent the number of boys in five
solmaris [256]

Answer:

mean = 2.55

Standard deviation = 1.118

Step-by-step explanation:

Probability of babies who are boys

P = 0.51

Then we have q = 1-p

= 1-0.51

= 0.49

We have n = 5

We calculate the mean as:

np

= 0.51x5

= 2.55

Therefore mean = 2.55

The standard deviation

= √variance

= √npq

= √0.51x5x0.49

=√1.2495

= 1.118

6 0
3 years ago
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