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sesenic [268]
3 years ago
6

What is the value of x?

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

\sin \: 45 \degree =  \frac{BC}{6 \sqrt{2} }  \\  \\  \frac{1}{ \sqrt{2} } =  \frac{BC}{6 \sqrt{2} }  \\  \\ BC = 6 \\  \\  \cos \: 60 \degree =  \frac{x}{BC }  \\  \\   \frac{1}{2}  =  \frac{x}{6 }   \\  \\ x =  \frac{6}{2}  \\  \\ x = 3

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9.<br> Explain how to identify the opposite and adjacent legs of a given acute angle.
Luba_88 [7]

Answer:

Step-by-step explanation:

In an acute angle, the side facing an angle is always termed Opposite

whereas the other side usually not the longest though is the Adjacent. take for example both sides have an angle, the value of the angle you want to use, the side directly facing it is called Opposite, whereas the other side usually not the longest though is the Adjacent

7 0
3 years ago
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in
nadezda [96]

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

4 0
3 years ago
A newly established clothing shop analyzed their monthly profit compared to the amount spent on advertising each month. The foll
Reil [10]
The maximum profit is the highest point on the curve at (3, 45), and since the y-value is the profit in hundreds of dollars, the maximum profit is $4500.
The shop is making a profit as long as the curve is above the x-axis, so this is over the given interval (0, 10).
The maximum profit is earned at x = 3, and the x-value is the money spent on advertising in hundreds of dollars, so this means that $300 was spent of advertising.

3 0
3 years ago
Read 2 more answers
Please help! Math WS studies and survey outcome​
Sloan [31]

Answer:of sorry but not gunna do all that or is it just a lil bit tell me

Step-by-step explanation:

5 0
3 years ago
Plz help- solve the inequality<br> -3(1 - z) &lt; 9<br> Use distributive property
Aleksandr [31]

Answer:

z

=

9

2

Step-by-step explanation:

anyway

good luck

5 0
3 years ago
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