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2 years ago

Using Trigonometric ratios, solve the following triangle

Mathematics

1 answer:

timurjin [86]2 years ago

4 0

Answer:

29.56

Step-by-step explanation:

From the given diagram

x = hypotenuse

27 = adjacent

Using SOH CAH TOA identity

cos theta = adj/hyp.

Cos 24 = 27/x

x = 27/cos24

x = 29.56

Hence the value of x to the hundredth place is 29.56

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Solve for g: 4g/14 - 3/7 - g/14 = 3/14

Luden [163]

Answer:
g = 3

Explanation:
To solve for g, we will need to isolate the g on one side of the equation.
This can be done as follows:
 $\frac{4g}{14} - \frac{3}{7} - \frac{g}{14} = \frac{3}{14}$ 

1- multiply all terms by 14 to get rid of the fraction:
4g - 6 - g = 3

2- Combine like terms:
4g - g = 3 + 6
3g = 9

3- Isolate the g:
 $\frac{3g}{3} = \frac{9}{3}$

g = 3

Hope this helps :)

8 0

3 years ago

Read 2 more answers

mariah has been hired as a receptionist.She is paid a flat rate of $225 each week and ears an additional $11.25 for every hour t

blsea [12.9K]

675 = 225 + 11.25h <== ur equation

5 0

3 years ago

HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation

Umnica [9.8K]

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on No. of students

test (X) with that score (f) $X \times f$ $( X - \bar X)^{2}$ $f \times ( X - \bar X)^{2}$

50 1 50 1073.218 1073.2176

57 2 114 663.578 1327.1552

60 4 240 518.018 2072.0704

65 3 195 315.418 946.2528

72 3 216 115.778 347.3328

75 12 900 60.218 722.6112

77 10 770 33.178 331.776

81 6 486 3.098 18.5856

83 6 498 0.058 0.3456

88 9 792 27.458 247.1184

90 12 1080 52.418 629.0112

92 12 1104 85.378 1024.5312

95 2 190 149.818 299.6352

99 4 396 263.738 1054.9504

100 5 500 297.218 1486.088

Total 91 7531 11580.68

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X \times f}{\sum f}$

= $\frac{7531}{91}$ = 82.76

Now, the standard deviation of the data is given by;

Standard deviation, S.D. = $\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}$

= $\sqrt{\frac{11580.68}{91-1}}$

= 11.34

Hence, the standard deviation of the given data is 11.34.

5 0

3 years ago

The perimeter of a rectangular garage is 44 meters. the garage is 12 meters long. how wide is it?

wel

Hello!

To find the perimeter you do 2l + 2w.

l is length
w is width

put in the values we know

2(12) + 2w = 44

Combine like terms

24 + 2w = 44

Subtract 24 from both sides

2w = 20

Divide both sides by 2

w = 10

The answer is 10 meters

Hope this helps!

8 0

2 years ago

Help me! Pls! I put the points high up I will like and mark brainliest! Promise! Pls help me!

Gemiola [76]

Answer: a. 6 rows 6 people per row, 9 rows 4 people in each row, 36 rows 1 person per row, 18 rows 2 people per row, 12 rows 3 people per row, 9 rows 4 people per row

Step-by-step explanation: 4 rows 9 people, 3 rows 12 people

8 0

2 years ago