The length of the support post is 40 ft.
<u>Solution:</u>
Given, the height of the wall is 20 ft; support post forms 30 degree
Refer the attached image
Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and
is 30 degree (
) and AC is the length of the post.
To find: The length of the post (AC)
we know the formula,
(trigonometric formula)
On substituting the values we get,

The value of sin 30 degree is 0.5

<h3>
Answer:</h3>
<u>Given equation</u> :- 6m² + 7n
where,
- <u>Constant</u> = 0.
- <u>Variable</u> = m, n.
- <u>Terms</u> = 6m² , 7n.
We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.
First of all, we will find z-score corresponding to 38 and 56.


Now we will find z-score corresponding to 56.

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is
.
We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.
We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

Therefore, approximately
of lightbulb replacement requests numbering between 38 and 56.
Answer:
a) 36°
b ) 18°
Step-by-step explanation:
The formula is given as:
The measure of each exterior angle =360°/n, where n = number of sides of a polygon.
a) decagon
Decagon = 10 sides
Hence, the measure of each exterior angle = 360°/10
= 36°
b) 20-gon
20-gon = 20 sides
Hence, the measure of each exterior angle = 360°/20
= 18°