It would be 6x^2 + 14x -12
First we should calculate the relation between how much they make and the fuel cost so we write
(1412.42+<span>1187.92)/418.91=6.21
So that means that for every 6.21 dollars made 1 dollar of fuel must be deducted so now we calculate what they need to be deducted by:
Dan deduction = 1412.42/6.21= 227.41
Aaron deduction= 1187.92/6.21 = 191.29</span>
The answer is C because it fits the formula a+b=c
2+4=6
Answer:
False
Step-by-step explanation:
Definition of Tangency : Tangent to a circle is a line that touches the circle at one point, which is known as Tangency.
At the point of Tangency, Tangent to a circle is always perpendicular to the radius.
We are supposed to find The point of tangency of line S to circle A is M
Considering the definition,
The lines S touches the circle at point J not at M
So,The point of tangency of line S to circle A is M is False
So, Option B is correct
Hence The point of tangency of line S to circle A is M is False
Part 1) <span>In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
we know that
the law of cosines establishes that
c</span>²=a²+b²-2*a*b*cos C
in this problem
c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9
applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°
the answer Part 1) is the option
<span>D. 60
</span>
Part 2) <span>In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
we know that
</span>∠C=180-(62+43)-----> ∠C=75°
<span>
Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in
the answer Part 2) is
</span><span>D.31.2</span>
