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Vlad1618 [11]
2 years ago
13

What is the cosine ratio of ZZ?

Mathematics
1 answer:
atroni [7]2 years ago
3 0

Answer:

  • \sf \cfrac{3}{5}

Step-by-step explanation:

\sf cos(z)=\cfrac{adjacent\: side \: of \:\angle z}{hypotenuse}

\sf cos(z)=\cfrac{12}{20}

\sf cos(z)=\cfrac{3}{5}

Hope it helps!

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6a³-18a²-1620a
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6a(a-18)(a+15)
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3 years ago
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)
Sphinxa [80]

Answer:

x=2.125

y=0

C=19.125

Step-by-step explanation:

To solve this problem we can use a graphical method, we start first noticing the restrictions x\geq 0 and  y\geq 0, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 8x+10y\leq 17 shown in purple, then we can plot the second one 11x+12y\leq 25 shown in the second plot in green.

The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.

3 0
3 years ago
Buyers are skeptical of a motorcycle advertisement that claims the newest model gets an average of 52 miles per gallon. They bel
Lana71 [14]

Answer:

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Step-by-step explanation:

We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.

This means the alternative hypothesis will have an average less than 52. Thus;

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Alternative hypothesis; Ha: µ < 52 mpg

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Nesterboy [21]
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3 0
2 years ago
Read 2 more answers
Seventh grade students were asked whether they participated in an after school activity. Complete the table below.
Natalka [10]

Answer:

Relative frequency of male nonparticipation is O.42

Step-by-step explanation:

Figure 1 is your partially filled frequency table.

1. Complete the table

(a) Total No

Total Yes + Total No = Total

     102     + Total No = 187

                   Total No = 187 - 102  

                                   = 85

 

(b) Female No

Male No  + Female  No = Total No

     40      + Female No =      85

                  Female No =       85 - 40

                                      =       45

(c) Female Yes

Female Yes + Female  No = Female Total

Female Yes +       45          =        95

Female Yes                         =        95 - 45

                                            =        50

(d) Male Yes

Male Yes + Female  Yes = Total Yes

Male Yes +         50          =     102

Male Yes                           =     102 - 50

                                          =     52

(e) Male Total

Male Yes + Male No = Male Total

     52      +       40     = Male Total

         Male Total        =       92

Figure 2 shows the completed table.

2. Frequency of Male No

There are 92 males, of whom 40 do not participate in an after-school activity.

The relative frequency of male nonparticipation is

40/92 = 0.43

8 0
2 years ago
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