It’s distributive because you multiplied the 2 to the x and the 7.
Answer:
20 feet below sea level
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
State worth is ![\$4,90,000](https://tex.z-dn.net/?f=%5C%244%2C90%2C000)
Assume the youngest receives x
So, Eldest receives three times of youngest=3x
Middle receives
more than the youngest=x+15000
Sum of their shares![= 3x+x+15000+x=4,90,000](https://tex.z-dn.net/?f=%3D%203x%2Bx%2B15000%2Bx%3D4%2C90%2C000)
![\Rightarrow \quad 5x+15000=4,90,000\\\Rightarrow \quad 5x=4,75,000\\\Rightarrow \quad x=\$ 95,000](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cquad%205x%2B15000%3D4%2C90%2C000%5C%5C%5CRightarrow%20%5Cquad%205x%3D4%2C75%2C000%5C%5C%5CRightarrow%20%5Cquad%20x%3D%5C%24%2095%2C000)
Eldest receives $2,85,000
Middle receives $1,10,000
Youngest receives $90,000
Recall that
![\sin^2a+\cos^2a=1\implies\cos^2a=1-\dfrac49=\dfrac59](https://tex.z-dn.net/?f=%5Csin%5E2a%2B%5Ccos%5E2a%3D1%5Cimplies%5Ccos%5E2a%3D1-%5Cdfrac49%3D%5Cdfrac59)
![\implies\cos a=\pm\dfrac{\sqrt5}3](https://tex.z-dn.net/?f=%5Cimplies%5Ccos%20a%3D%5Cpm%5Cdfrac%7B%5Csqrt5%7D3)
Angle
is acute, which means its measure is between 0 and 90 degrees. For
, we have
, so we should take the positive root. Then
![\cos a=\dfrac{\sqrt5}3](https://tex.z-dn.net/?f=%5Ccos%20a%3D%5Cdfrac%7B%5Csqrt5%7D3)