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Sunny_sXe [5.5K]
3 years ago
14

Find the value of x trigonometry

Mathematics
1 answer:
Luden [163]3 years ago
3 0

Step-by-step explanation:

sin30° = x/14

1/2 = x/14

1/2 × 14 = x

x = 7

cos30° = y/14

squareroot3/2 = y/14

0.866 = y/14

y = 0.866 × 14

y = 12.124

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VLD [36.1K]

Answer:

The last one is correct.

7 0
3 years ago
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riangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equ
Shtirlitz [24]

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

<h3>What is a Scale Factor ?</h3>

The ratio by which the new image is bigger or smaller than the original image is the scale factor.

It is given that

Triangle A″B″C″ is formed using the translation (x + 0, y + 2)

and the dilation by a scale factor of 2 from the origin.

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment AC is equal to A''C'' over 2

Scale factor = 2

The coordinates are

A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using  (x + 2, y + 0),

new coordinates

A'(- 1,  3), B'(3, - 3), and C'(- 1, -3).

The dilation by a scale factor of from the origin

A″ (-2, 6), B″ (6, -6) and C″(-2, -6)

By the distance formula

AB = \rm \sqrt {52}

A''B'' = \rm \sqrt{ 8^2 + 12^2}\\ = 2 \rm \sqrt {52}

Therefore

AB = A''B'' /2

Similarly AC = A''C'' /2

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

To know more about Scale Factor

brainly.com/question/22312172

#SPJ1

6 0
2 years ago
Match each solution to the equation it solves.
Kamila [148]

Hi there! Hopefully this helps!

---------------------------------------------------------------------------------------------------------------

<em>Answer to the first equation:</em><u><em> 3.</em></u>

<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>

<em>Answer to the second equation: </em><u><em>7</em></u>

<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>

<em>Answer to the third equation: </em><u><em>-2.</em></u>

<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>

<em>Answer to the fourth equation: </em><u><em>-3</em></u>

<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>

4 0
3 years ago
Simplifying fractions Sheet 2<br>​
raketka [301]

<u>Simplifying fractions:</u>

1) \frac{14}{20} =\frac{7}{10}                  2) \frac{4}{8} =\frac{1}{2}

3) \frac{9}{12} =\frac{3}{4}                  4) \frac{12}{15} =\frac{4}{5}

5) \frac{8}{18} =\frac{4}{9}                  6) \frac{14}{21} =\frac{2}{3}

7) \frac{12}{16} =\frac{3}{4}                  8) \frac{10}{24} =\frac{5}{12}

9) \frac{15}{35}=\frac{3}{7}                 10) \frac{13}{26} =\frac{1}{2}

11) \frac{11}{55}=\frac{1}{5}                12) \frac{9}{21} =\frac{3}{7}

13) \frac{16}{26} =\frac{8}{13}              14) \frac{20}{32} =\frac{5}{8}

15) \frac{18}{24} =\frac{3}{4}               16) \frac{21}{27} =\frac{7}{9}

17) \frac{4}{32} =\frac{1}{8}               18) \frac{25}{40} =\frac{5}{8}

<em>Hope this helps :)</em>

5 0
3 years ago
A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.1
Likurg_2 [28]

Answer:

2.26 feet

Step-by-step explanation:

400/25=16

16/3.14=5.0955

5.0955^2=2.257

3 0
2 years ago
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