Answer:
37.68in
Step-by-step explanation:
circumference = 2πr
r= radius = diameter/2 = 12/2 =6 in
C= 2πr = 2 x 3.14 x 6= 37.68in
<h3>
Answer: Choice A) 114,932.80</h3>
===============================================
Work Shown:
A = P*e^(r*t)
A = 47000*e^(0.0526*17)
A = 114,932.799077198
A = 114,932.80
Notes:
- P = 47,000 is the principal or amount deposited
- r = 0.0526 is the decimal form of 5.26%
- The "e" refers to the special constant e = 2.718... which is similar to pi = 3.14... I would let your calculator handle this constant. There should be a button labeled "e".
The equations that express the relationship between the side lengths of the triangles are
<h3>Pythagorean triple</h3>
From the question, we are to write an equation that expresses the relationship between the side lengths of each triangle
From the Pythagorean theorem,
In a right triangle, the square of the longest side (hypotenuse) equals sum of squares of the other two sides
That is,
c² = a² + b²
Where c is the longest side (hypotenuse)
a and b are the other two sides
The equation is
10² = 6² + 8²
- For
![\sqrt{5}, \sqrt{3}, \sqrt{8}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D%2C%20%5Csqrt%7B3%7D%2C%20%5Csqrt%7B8%7D)
The equation is
![(\sqrt{8} )^{2} = (\sqrt{5} )^{2} + (\sqrt{3} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B8%7D%20%29%5E%7B2%7D%20%20%3D%20%28%5Csqrt%7B5%7D%20%29%5E%7B2%7D%20%2B%20%28%5Csqrt%7B3%7D%20%29%5E%7B2%7D)
- For
![5, \sqrt{5}, \sqrt{30}](https://tex.z-dn.net/?f=5%2C%20%5Csqrt%7B5%7D%2C%20%5Csqrt%7B30%7D)
The equation is
![(\sqrt{30} )^{2} = 5^{2} + (\sqrt{5} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B30%7D%20%29%5E%7B2%7D%20%3D%205%5E%7B2%7D%20%2B%20%28%5Csqrt%7B5%7D%20%29%5E%7B2%7D)
- For
![1, \sqrt{37}, 6](https://tex.z-dn.net/?f=1%2C%20%5Csqrt%7B37%7D%2C%206)
The equation is
![(\sqrt{37} )^{2} = 1^{2} + 6^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B37%7D%20%29%5E%7B2%7D%20%20%3D%201%5E%7B2%7D%20%2B%206%5E%7B2%7D)
- For
![3, \sqrt{2}, \sqrt{7}](https://tex.z-dn.net/?f=3%2C%20%5Csqrt%7B2%7D%2C%20%5Csqrt%7B7%7D)
The equation is
![3^{2} = (\sqrt{2} )^{2} + (\sqrt{7} )^{2}](https://tex.z-dn.net/?f=3%5E%7B2%7D%20%3D%20%28%5Csqrt%7B2%7D%20%29%5E%7B2%7D%20%2B%20%28%5Csqrt%7B7%7D%20%29%5E%7B2%7D)
Hence, the equations that express the relationship between the side lengths of the triangles are
Learn more on Pythagorean triple here: brainly.com/question/3223211
#SPJ1
Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.