Step One
Find the area of the base
A = s * s
s = 755.5 feet
Area = 755.5^2
Area = 570780.25 square feet.
Step two
Multiply the volume by 3
V = 1/3 B * h
3*V = B * h
V = 85600000
85600000 * 3 = B * h
256800000 = B * h
Step Three
Divide by B
B = 570780.25
256800000 = 570780.25 * h
256800000 / 570780.25 = h
449.91 feet = h
The standard deviation for the number of people with the genetic mutation is 3.77
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Sample size, n = 300
Proportion that has the particular genetic mutation, p = 5%
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation = √np(1 - p)
Substitute the known values in the above equation
Standard deviation = √300 * 5% * (1 - 5%)
Evaluate the product
Standard deviation = √14.25
Evaluate the exponent
Standard deviation = 3.77
Hence, the standard deviation for the number of people with the genetic mutation is 3.77
Read more about standard deviation at
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Answer:
32%
Step-by-step explanation:
Area of rectangle ABCD = 20 * 30 = 600 Sq cm
After increasing the length and width of the rectangle by 20% and 10% respectively.
New length = 30 + 20% of 30 = 30 + 6 = 36 cm
New width = 20 + 10% of 20 = 20 + 2 = 22 cm
Area of new rectangle = 36*22 = 792 Sq cm
Increase in area = 792 - 600 = 192 Sq cm
Percentage increase in area
= (192/600) *100
= 32%
107.75mThis is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.

plus in values, we know.

switch tan(10) and x using the products property.

plug in to calulator to get answer
x=107.75
To set this up you will set the two angles equal to 180° since it is a straight line
This will make the equation x+6x+19=180
Combine like terms. 7x+19=180.
Subtract 19 from both sides. This will make it 7x=161
Divide both sides by 7. That will make it x=23
Next plug in the x to solve for abc. 7(23)+19. This equals 157
X= 23
Hope this helped :)