Answer:
The total distance Remy will swim is approximately 236 meters
Step-by-step explanation:
From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;
1) Length of segment C to A
2) Length of segment A to B
3) Length of segment B to C
The length of the perpendicular at point D on segment AB to C = 60 meters
Therefore, DC = 60 m
By trigonometric ratios, we have;
We are given the values of the trigonometric ratios of the following angles;
tan(27°) = 0.51
tan(43°) = 0.93
cos(27°) = 0.89
cos(43°) = 0.73
∴ tan(43°) = AD/DC = 0.93
Where the lengths of AC, AD, DB, DC and BC
AD = DC × tan(43°)
∴ AD = 60 × 0.93 ≈ 55.8
Similarly, we have;
tan(27°) = DB/DC
∴ DB = DC × tan(27°)
DB = 60 × 0.51 ≈ 30.6
From , we have;
cos(43°) = DC/AC
AC = DC/(cos(43°))
∴ AC = 60/0.73 ≈ 82.2
Similarly, we have;
cos(27°) = DC/BC
BC = DC/(cos(27°))
∴ BC = 60/0.89 ≈ 67.4
The total distance Remy will swim = AC + AD + DB + BC
∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236
The total distance Remy will swim = 236 meters
Answer:
C(p) = p*50 + 300
Step-by-step explanation:
Using the names:
Clm: cost of labor and materials
Crm: fixed cost on rent and equipment
p: number of phones
and Ct: total cost
the ecuation would be number of phones times the cost and material plus the fixed cost, something like this
p * Clm + Crm = Ct
on the example we have all the data except the rent and equipment cost (the fixed cost) so thats what we need to solve
producing 3 phones its
3 *¨50 + Crm = 450
Crm = 450 - 150 = 300
so replacing in the above formula the equation would be
C(p)=p * 50 + 300
Answer:
Correct answer is:
Step-by-step explanation:
Given that Number of bracelets with yellow beads is represented by 
Each bracelet with yellow beads is sold for $5.
Total money raised by bracelets with yellow beads = Number of bracelets sold 
Money raised by sale of one such bracelet = 
Also Given that Number of bracelets with Orange beads is represented by 
Each bracelet with orange beads is sold for $6.
Total money raised by bracelets with orange beads = Number of bracelets sold Money raised by sale of one such bracelet = 
Given that total money raised by sale of both type of bracelets is $660.
so, the first equation becomes:
It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"
So, by equation (1) and (2), the system of equations is:
for example if you have 3x^2+2x-1 then a=3 b=2 and c=-1 you plug those into the formula and solve to get the formula just look it up and go to images
Answer:
The greatest common factor of 48 and 32 is 16
