The 30:60:90 proportion is 1:sqrt 3: 2
So,
x = 10/2
x = 5
y = 10/sqrt 3
Finding the area:
1/2 * 5 * 10/sqrt 3
25/sqrt 3
Hope this helps!
Answer:
Confidence interval: (1760,1956)
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 81
Sample mean =

Population standard deviation =

Confidence Level = 95%
Significance level = 5% = 0.05
Confidence interval:

Putting the values, we get,


Answer:
Option b) is correct.
The completed factor of given expression is 
Step-by-step explanation:
Given expression is 
To find the completed factor for the given expression:
:
Taking the common number "2" outside to the above expression we get

Now rewritting the above expression as below
(since 16 can be written as the number 2 to the power of 4)

The above expression is of the form 
Here
and 
Therefore it becomes

The above expression is of the form 
Here
and 
Therefore it becomes
Therefore
Option b) is correct.
The completed factor of given expression is 
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
(x + 3) (x - 7) = 0
Thus, The answer is (x + 3) (x - 7) = 0
<em><u>-TheUnknownScientist</u></em>
Answer:
95.49°
Step-by-step explanation:
The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians. Here, r = 9 ft and s = 15 ft. Thus, the central angle Ф is
Ф = (15 ft) / (9 ft) = 5/3 radians, or
5 rad 180°
------- * ---------- = 95.49°
3 π rad