Answer:
<h2>This triangle is a right triangle:</h2><h2>36² + 15² = 39².</h2>
Step-by-step explanation:
If a ≤ b <c is the length of the sides of a right triangle, then:
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
We have
![a=15\ in,\ b=36\ in,\ c=39\ in](https://tex.z-dn.net/?f=a%3D15%5C%20in%2C%5C%20b%3D36%5C%20in%2C%5C%20c%3D39%5C%20in)
Check the equality:
![L_s=15^2+36^2=225+1296=1521](https://tex.z-dn.net/?f=L_s%3D15%5E2%2B36%5E2%3D225%2B1296%3D1521)
![R_s=39^2=1521](https://tex.z-dn.net/?f=R_s%3D39%5E2%3D1521)
![L_s=R_s](https://tex.z-dn.net/?f=L_s%3DR_s)
It's a right triangle.
Answer:
A
Step-by-step explanation:
The answer is (a) because that value is the y intercept meaning that it will be the value for price at the beginning of the time frame... in this case in January 2013 which is the beginning of the year.
Hope you find this helpful.
Answer:
The tax is $1.88
Step-by-step explanation:
7.5% = 0.075 (divide by 100)
0.075 * $25 = 1.875 or $1.88
Answer:
g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))
Step-by-step explanation:
Using the fundamental theorem of calculus
Taking the derivative of the integral gives back the function
Since the lower limit is a constant when we take the derivative it is zero
d/dx ![\int\limits^x_4 {g(t)} \, dt = g(x)](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ex_4%20%7Bg%28t%29%7D%20%5C%2C%20dt%20%20%3D%20g%28x%29)
g(t) = sinh^-1 ( ln(7t^6 +3) / sqrt( 8+cot( t^( 3+t))))
Replacing t with x
g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))