Answer:
42, or 42.4 is round to the nearest tenth or 42.43 is round to the nearest hundreths
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
We already found x in a previous problem.
x = 6
The right triangle on the right side with sides x and y is also a 30-60-90 triangle.
The hypotenuse is twice the short leg.
x = 6
y = 2x
y = 12
Step-by-step explanation:
given


Answer:
x ≈ 6
Step-by-step explanation:
The legs of an isosceles triangle are congruent , both 2x - 4 , then
x + 2x - 4 + 2x - 4 = 24 , that is
5x - 8 = 24 ( add 8 to both sides )
5x = 32 ( divide both sides by 5 )
x = 6.4 ≈ 6 ( to the nearest whole number )
Answer:

Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have

and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
and by evaluating in the limits we have

Hope this helps
regards