Answer:
12 1/3 years
Step-by-step explanation:
Let
x = his son's age
Grandpa Burk's age = 52 + x
In five years Grandpa Burk will be four Times as old as his grandson is now.
his son's age = 4(x + 5)
Grandpa Burk's age = 52 + x + 5
= x + 57
4(x + 5) = x + 57
4x + 20 = x + 57
4x - x = 57 - 20
3x = 37
x = 37 / 3
= 12 1/3 years
His son's age will be 12 1/3 years
Answer:
4x^3-9x^2+5x+6
Step-by-step explanation:
6 + 5x+4x^3-9x^2
Write the powers of x from highest to lowest
4x^3-9x^2+5x+6
Answer:
![\text{tan}(\theta)=\frac{\sqrt{119}}{5}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%7B119%7D%7D%7B5%7D)
Step-by-step explanation:
We have been given that Sandra knows the Pythagorean identity
. She is told that
and
.
First of all, we will find value of sine theta using the given identity.
![\text{sin}^2(\theta)+\text{cos}^2(\theta)=1](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E2%28%5Ctheta%29%2B%5Ctext%7Bcos%7D%5E2%28%5Ctheta%29%3D1)
![\text{sin}^2(\theta)+(\frac{5}{12})^2=1](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E2%28%5Ctheta%29%2B%28%5Cfrac%7B5%7D%7B12%7D%29%5E2%3D1)
![\text{sin}^2(\theta)+\frac{25}{144}=1](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E2%28%5Ctheta%29%2B%5Cfrac%7B25%7D%7B144%7D%3D1)
![\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E2%28%5Ctheta%29%2B%5Cfrac%7B25%7D%7B144%7D-%5Cfrac%7B25%7D%7B144%7D%3D1-%5Cfrac%7B25%7D%7B144%7D)
![\text{sin}^2(\theta)=\frac{144-25}{144}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E2%28%5Ctheta%29%3D%5Cfrac%7B144-25%7D%7B144%7D)
![\text{sin}^2(\theta)=\frac{119}{144}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%5E2%28%5Ctheta%29%3D%5Cfrac%7B119%7D%7B144%7D)
![\text{sin}(\theta)=\sqrt{\frac{119}{144}}](https://tex.z-dn.net/?f=%5Ctext%7Bsin%7D%28%5Ctheta%29%3D%5Csqrt%7B%5Cfrac%7B119%7D%7B144%7D%7D)
![\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%28%5Ctheta%29%3D%5Cfrac%7B%5Ctext%7Bsin%7D%28%5Ctheta%29%7D%7B%5Ctext%7Bcos%7D%28%5Ctheta%29%7D)
![\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%28%5Ctheta%29%3D%5Cfrac%7B%5Cfrac%7B%5Csqrt%7B119%7D%7D%7B12%7D%7D%7B%5Cfrac%7B5%7D%7B12%7D%7D)
![\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%7B119%7D%2A12%7D%7B5%2A12%7D%3D%5Cfrac%7B%5Csqrt%7B119%7D%7D%7B5%7D)
Therefore,
.
98.6 is your answer.... Please mark this answer as the brainliest