All categories

3 years ago

Find the value of x in the given right triangle

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

Answer:

The answer to your question is x = 35°

Step-by-step explanation:

Data

angle x = ?

Opposite side = 7

Adjacent side = 10

Process

To answer this question use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is the tangent.

Tan x = Opposite side / Adjacent side

- Substitution

Tan x = 7 / 10

- Simplification

Tan x = 0.7

- Result

Tan⁻¹ x = x = 34.99 or x ≈ 35°

You might be interested in

Callie evaluated the expression 0.42 times 4.73 using the steps shown below. 0.42 times 4.73 = 1.26. 1.26 + 29.40 + 168.00 = 198

Andrej [43]

Answer:

The correct option is;

Callie multiplied incorrectly

Step-by-step explanation:

Here we have 0.42 × 4.73 = 1.9866 then

1.9866 + 29.4 + 168 = 199.3866

Therefore, from the question, we had 0.42 × 4.73 = 1.26 which is incorrect, meaning that Callie multiplied incorrectly

Apparently, Callie multiplied as follows;

0.42 × 3 = 1.26 but what was in the question was

0.42 × 4.73 which is equal to 1.9866.

4 0

3 years ago

Read 2 more answers

A coin is flipped 40 times and it lands on head 16 timed based on the experimental probability how many heads would you protect

crimeas [40]

24 abcdefghijklmnopqrstuvwxyz

4 0

3 years ago

What’s the size of angle AED

vodomira [7]

Answer:

173

Step-by-step explanation:

8 0

2 years ago

Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculato

Mariulka [41]

The mean of the dataset is the average, while the median is the middle element.

The mean and the median of the given dataset is 98.2
The results support the common belief that the mean body temperature is 98.6F

The mean of the dataset is calculated using:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{99.2+ 99.2 +98.2+............+97.7}{48}$

$\bar x = \frac{4715}{48}$

$\bar x = 98.2$

The median position is:

$Median = \frac{1}{2}(n + 1)$

$Median = \frac{1}{2}(48 + 1)$

$Median = \frac{1}{2}(49)$

$Median = 24.5$

This means that the median is the average of the 24th and 25th element

Using the sorted dataset, we have:

$Median = \frac{1}{2}(98.2 + 98.2)$

$Median = 98.2$

Because the calculated mean and the common belief (98.6) are close, then we can conclude that the results support the common belief that the mean body temperature is 98.6F