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2 years ago

9x -2 > 5 < 3x Find the third side?

Mathematics

1 answer:

Ksju [112]2 years ago

5 0

The length of the third side is a-2. :))

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A radio tower is located 300 feet from a building. From a window in the building, a person determines that the angle of elevatio

DerKrebs [107]

Answer:

The tower is approximately 381 feet high.

Step-by-step explanation:

Refer to the sketch attached. The height of the tower can be found in two parts:

The part above the window, and
The part under the window.

Each part can be seen as a leg of a right triangle. The other leg is the distance between the building and the tower and is 300-feet long. The angle opposite to the leg is given.

The length of the upper part is $300\cdot \sin{42^{\circ}}$ feet.
The length of the lower part is $300\cdot \sin{37^{\circ}}$ .

The height of the tower is the sum of the two parts:

$300\cdot \sin{42^{\circ}} + 300\cdot \sin{37^{\circ}} = 300(\sin{42^{\circ}}+\sin{37^{\circ}}) = 381$ feet.

4 0

4 years ago

Write the augmented matrix for the following system of equations.<br> x - 2 = 0<br> 2y = 4 - 2

Kisachek [45]

9514 1404 393

Answer:

$\left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right]$

Step-by-step explanation:

The system of equations can be written in standard form as ...

x + 0y = 2

0x +2y = 2

The augmented matrix representation of these is ...

$\left[\begin{array}{cc|c}1&0&2\\0&2&2\end{array}\right]$

8 0

3 years ago

Divide.

dexar [7]

(9x^2 + 21x + 10)= (3x+5)( 3x+2)+0

3 0

4 years ago

Read 2 more answers

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the mean, median, mode, and midra

Svetlanka [38]

Answer:

a. 20.23

b. 14.1

c. 8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

d. 22.65

Step-by-step explanation:

Sum = 202.3

Count = 10

Mean = 202.3 / 10

Mean = 20.23

Since there is an even number of data values the median is the mean of the two data values in the middle, calculated as follows;

8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

Median = (13.5 + 14.7) / 2

Median = 14.1

Mode is the value or values in the data set that occur most frequently. Since all are occurred once so all the values will be considered as Mode;

Mode = 8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

Midrange = (Highest Value + Lowest Value) / 2

Midrange = (37 + 8.3) / 2

Midrange = 22.65

7 0

4 years ago

6 8/9 times 36/31 .....

aivan3 [116]

Answer:

Step-by-step explanation:

First, convert the mixed fraction to an improper one:

$\displaystyle{6\frac{8}{9}=\frac{62}{9}}$

Then, multiply:

$\displaystyle{\frac{62}{9}\times\frac{36}{31}}$

Cross-reduce:

$\displaystyle{\frac{2}{1}\times\frac{4}{1}}$

And simplify:

$\displaystyle{\frac{8}{1}=8}$

8 0

3 years ago