Answer:
0
Step-by-step explanation:
8z +12 = 12
8z = 0
z =0
David will finish first, because if you divide Brad's miles by 2 to his miles in a 1/4 of an hour are 5.95 miles. This means David went 6.2 miles in the same time that Brad went 5.95. Therefore, David will finish first.
<span>a.
The radius of earth is about 6400 kilometers. Find the circumference of
a great circle.
Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km
b. Write an equation for the circumference of any
latitude circle with angle theta
As stated, </span><span><span>the
length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a
great circle of Earth times the cosine of the latitude angle</span>:
=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)
Answer: circumference = 40,212.39 cos(Θ) km
c. Which latitude circle has a
circumference of about 3593 kilometers?
Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km
=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad
Answer: 1.48
d. What is the circumference of
the Equator?
</span>
For the Equator Θ = 0°
=> circumference = 40,213.49cos(0°) km = 40,212.49 km
Answer: 40,212.49 km
Answer:
a≈18 cm
Step-by-step explanation:
we have given:
an angle,
the adjacent side and
we need to find:
the opposite side
we know that the definition of
tan of an angle = opp. side/ adj. side
tan 61° = a/ 10
multiply both sides by 10
10 * tan61° = a
18.04047755 = a
18 ≈ a
The answer is y=3x-6. (B). First you subtract 6x from both sides. Then you get -2y=12-6x. Now, you divide both sides by -2. This gets you the final answer; y=3x-6 or y=-6+3x.