The new area of the given replica's base is; 6250 m²
<h3>What is the required area?</h3>
We are given;
Area of base of statue = 625 m²
Now, an artist wants to create a replica of the base of statue but in the ratio 1:10.
This means that the area will increase by a factor of 10 as 1 sq.unit of the old area will represent 10 sq. units in the new one.
Thus, new area = 625 * 10
New area of statue = 6250 m²
Read more about new area at; brainly.com/question/26858128
Answer:
b = 12
= 20.78
c = 24
Step-by-step explanation:
The sides of a 30-60-90 triangle always have the same proportion to each other. The side opposite the 30 degree angle is x, the side opposite the 60 degree angle is x
and the side opposite the 90 degree angle is 2x (this side is called the hypotenuse) .
Since we know the side opposite the 30 degree angle here is 12, then we know that the side opposite the 90 degree angle is 2 times the side opposite the 30 degree angle, c = 24 units (2 x 12).
Finally, the side opposite the 60 degree angle is 12
which equals 20.78 units.
Answer:
![SD= 3.24](https://tex.z-dn.net/?f=SD%3D%203.24)
Step-by-step explanation:
Given
![Proportion, p = 30\%](https://tex.z-dn.net/?f=Proportion%2C%20p%20%3D%2030%5C%25)
![Population, n = 50](https://tex.z-dn.net/?f=Population%2C%20n%20%3D%2050)
Required
Determine the standard deviation
Standard Deviation (SD) is calculated as:
![SD= \sqrt{np(1-p)}](https://tex.z-dn.net/?f=SD%3D%20%5Csqrt%7Bnp%281-p%29%7D)
Substitute values for n and p
![SD= \sqrt{50 * 30\% * (1-30\%)}](https://tex.z-dn.net/?f=SD%3D%20%5Csqrt%7B50%20%2A%2030%5C%25%20%2A%20%281-30%5C%25%29%7D)
Convert percentage to decimals
![SD= \sqrt{50 * 0.30 * (1-0.30)}](https://tex.z-dn.net/?f=SD%3D%20%5Csqrt%7B50%20%2A%200.30%20%2A%20%281-0.30%29%7D)
![SD= \sqrt{50 * 0.30 * 0.70}](https://tex.z-dn.net/?f=SD%3D%20%5Csqrt%7B50%20%2A%200.30%20%2A%200.70%7D)
![SD= \sqrt{10.5}](https://tex.z-dn.net/?f=SD%3D%20%5Csqrt%7B10.5%7D)
<em></em>
<em> approximated</em>
Fraction in the attachment below.