Escribe una operacion numérica para este modelo.
2 answers:
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Answer:
Step-by-step explanation:
Two car rental companies charge an initial rental fee and a fee per day.
Total cost for the company A is given by the equation,
y = 25x + 170
Car A charges $25 per day. [Slope of the line]
Another car rental company B charges as per table attached.
Per day car rental for the company B =
=
= $45 per day
Therefore, per day rental charged by company A is less.
Let the equation for the car rental by company A is,
y = mx + b
where m = per day rental charged by company A = $21.5
y = 45x + b
One point (2, 180) from the table lies on the equation.
Therefore, 180 = 45(2) + b
b = 180 - 90
b = 90
So the equation will be,
y = 45x + 90
If both the company charge the same after x day of rental,
45x + 90 = 25x + 170
45x - 25x = 170 - 90
20x = 80
x = 4
After 4 days car rentals for both the companies will be same.
The triangle is missing, so i have attached it.
Answer:
1) 3rd side = 12.92
2)angle C = 82°
3)angle B = 44°
Step-by-step explanation:
1) To find the missing 3rd side which is opposite to angle A, using cosine rule, we have
a² = b² + c² - 2bc•cosA
From the image,
b = 7.4 and c = 15.8 while A = 54°
Thus,plugging in relevant values ;
a² = 7.4² + 15.8² - 2(7.4*15.8)•cos54
a² = 54.76 + 249.64 - 137.45
a² = 166.95
a = √166.95
a ≈ 12.92
2) Using sine rule, we can find angle C.
Thus,
a/sinA = c/sinC
So, sin C = (c*sinA)/a
c = 15.8
a = 12.92
A = 54°
Plugging in the relevant values;
sin C = (15.8*sin54)/12.92
sin C = 0.98936
C = sin^(-1)0.98936
C ≈ 82°
3) to get angle B, we know that sum of angles in a triangle = 180.
Thus,
A + B + C = 180
So,54 + B + 82 = 180
B + 136 = 180
B = 180 - 136
B = 44°
