Answer:
UB: 375
Step-by-step explanation:
370mm to 2 sig figs..
UB: 375
LB:365
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Answer:
x + y = 162 and x = 2y - 6
Step-by-step explanation:
Let the total wins be x
Let the total loss be y
If a baseball team's total wins and losses for one season is 162, this can be expressed as;
x + y = 162 ....... 1
If the number of wins is 6 less than 2 times the number of losses, this is expressed as;
2 times the number of losses = 2y
6 less than 2 times the number of losses = 2y - 6
Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;
x = 2y - 6 .... 2
Hence the required system of equation are;
x + y = 162 and x = 2y - 6
Recall that
![\vec a\cdot\vec b=\|\vec a\|\|\vec b\|\cos\theta](https://tex.z-dn.net/?f=%5Cvec%20a%5Ccdot%5Cvec%20b%3D%5C%7C%5Cvec%20a%5C%7C%5C%7C%5Cvec%20b%5C%7C%5Ccos%5Ctheta)
where
is the angle between the vectors
whose magnitudes are
, respectively.
We have
![\langle6,4\rangle\cdot\langle7,5\rangle=\sqrt{6^2+4^2}\sqrt{7^2+5^2}\cos\theta](https://tex.z-dn.net/?f=%5Clangle6%2C4%5Crangle%5Ccdot%5Clangle7%2C5%5Crangle%3D%5Csqrt%7B6%5E2%2B4%5E2%7D%5Csqrt%7B7%5E2%2B5%5E2%7D%5Ccos%5Ctheta)
![\cos\theta=\dfrac{31}{\sqrt{962}}\implies\theta\approx88.2^\circ](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D%5Cdfrac%7B31%7D%7B%5Csqrt%7B962%7D%7D%5Cimplies%5Ctheta%5Capprox88.2%5E%5Ccirc)