Omit means: "to leave out" or "not include"
Answer:
Step-by-step explanation:
Looking at the diagram,
Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that
DH/DB = TH/MH
DH = 15 + 6 = 21
TH = 9 + x
Therefore
(9 + x)/21 = 9/6
Cross multiplying, it becomes
6(9 + x) = 21 × 9 = 189
54 + 6x = 189
Subtracting 54 from the left hand side and the right hand side of the equation, it becomes
6x + 54 - 54 = 189 - 54
6x = 135
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 135/6
x = 22.5
Answer:
negitive corralation
Step-by-step explanation:
answer is 15%
Step-by-step explanation:
cost prices of book =160
selling prices of book =136
now,rate of discount =loss% (as discount only leads to some kind of loss)
so CP>SP
so loss=CP-SP =160-136=24
loss%= (loss/CP)÷100
=(24/160)÷100
=15%
so rate of discount =15%
Check the picture below.
![\bf tan(3.5^o)=\cfrac{y}{15+x}\implies 15+x=\cfrac{y}{tan(3.5^o)}\\\\\\ \boxed{x=\cfrac{y}{tan(3.5^o)}-15} \\\\\\ tan(9^o)=\cfrac{y}{x}\implies x\cdot tan(9^o)=y\\\\\\ \left[ \cfrac{y}{tan(3.5^o)}-15 \right]tan(9^o)=y \\\\\\ \left[ \cfrac{y-15tan(3.5^o)}{tan(3.5^o)} \right]tan(9^o)=y \\\\\\](https://tex.z-dn.net/?f=%5Cbf%20tan%283.5%5Eo%29%3D%5Ccfrac%7By%7D%7B15%2Bx%7D%5Cimplies%2015%2Bx%3D%5Ccfrac%7By%7D%7Btan%283.5%5Eo%29%7D%5C%5C%5C%5C%5C%5C%20%5Cboxed%7Bx%3D%5Ccfrac%7By%7D%7Btan%283.5%5Eo%29%7D-15%7D%0A%5C%5C%5C%5C%5C%5C%0Atan%289%5Eo%29%3D%5Ccfrac%7By%7D%7Bx%7D%5Cimplies%20x%5Ccdot%20%20tan%289%5Eo%29%3Dy%5C%5C%5C%5C%5C%5C%20%5Cleft%5B%20%5Ccfrac%7By%7D%7Btan%283.5%5Eo%29%7D-15%20%5Cright%5Dtan%289%5Eo%29%3Dy%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%5B%20%5Ccfrac%7By-15tan%283.5%5Eo%29%7D%7Btan%283.5%5Eo%29%7D%20%5Cright%5Dtan%289%5Eo%29%3Dy%0A%5C%5C%5C%5C%5C%5C)
![\bf \cfrac{y\cdot tan(9^o)-15tan(3.5^o)tan(9^o)}{tan(3.5^o)}=y \\\\\\ y\cdot tan(9^o)-15tan(3.5^o)tan(9^o)=y\cdot tan(3.5^o) \\\\\\ ytan(9^o)-ytan(3.5^o)=15tan(3.5^o)tan(9^o) \\\\\\ \stackrel{common~factor}{y}[tan(9^o)-tan(3.5^o)]=15tan(3.5^o)tan(9^o) \\\\\\ y=\cfrac{15tan(3.5^o)tan(9^o)}{tan(9^o)-tan(3.5^o)}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7By%5Ccdot%20%20tan%289%5Eo%29-15tan%283.5%5Eo%29tan%289%5Eo%29%7D%7Btan%283.5%5Eo%29%7D%3Dy%0A%5C%5C%5C%5C%5C%5C%0Ay%5Ccdot%20%20tan%289%5Eo%29-15tan%283.5%5Eo%29tan%289%5Eo%29%3Dy%5Ccdot%20tan%283.5%5Eo%29%0A%5C%5C%5C%5C%5C%5C%0Aytan%289%5Eo%29-ytan%283.5%5Eo%29%3D15tan%283.5%5Eo%29tan%289%5Eo%29%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bcommon~factor%7D%7By%7D%5Btan%289%5Eo%29-tan%283.5%5Eo%29%5D%3D15tan%283.5%5Eo%29tan%289%5Eo%29%0A%5C%5C%5C%5C%5C%5C%0Ay%3D%5Ccfrac%7B15tan%283.5%5Eo%29tan%289%5Eo%29%7D%7Btan%289%5Eo%29-tan%283.5%5Eo%29%7D)
make sure your calculator is in Degree mode.
the amount is small, but bear in mind that is mile units.
