Answer: The answers are in the photo.
Step-by-step explanation:
To solve question 4, you have to work backwards. Plug 40.82 as C in the formula C = D x 3.14. It would now look like: 40.82 = D x 3.14. Divide 40.82 by 3.14 and you would receive 13 as the diameter. However, we are searching for the radius. The radius is half of the diameter. 13 / 2 is 6.5
To solve question 5, you'll need to use the formula C = D x 3.14. So far, we know D is 6. 6 x 3.14 is 18.84. Yet, we need to find the cost. Each foot costs $12.50, so that's what we multiply to 18.84. In the end, the cost is $235.50.
Answer:
x is equal to 20 in this picture.
Step-by-step explanation:
In order to find this, we need to note that these two angles will be equal to each other. Now we can put their values equal to each other and solve for x.
3x + 50 = 6x - 10
50 = 3x - 10
60 = 3x
20 = x
Answer:
28 learners
Step-by-step explanation:
Boys : Girls
3 : 4
Since there are 12 boys and 3 units of them...
3 units = 12
1 unit = 12 ÷ 3 = 4
Girls =
4 units = 4 x 4 = 16
Total number of girls and boys: 12 + 16 = 28
Original position: P1=(0,0)
<span>You drive 30 miles due east in a half hour: x=+30 miles, t1=1/2 hour=0.5 hours
</span><span>Then, you turn left and drive 30 miles north in 1 hour: y=+30 miles, t2=1 hour
Rectangular coordinates of final position: P2=(x,y)→P2=(30,30)
Total time: t=t1+t2=0.5 hours+1 hour→t=1.5 hours
Average speed: S ave=d/t
Total distance: d=x+y=30 miles+30 miles→d=60 miles
S ave = 60 miles / (1.5 hours)
S ave = 40 miles/hour
Velocity is a vector, the magnitude of this vector is the magnitude of the vector of change of position dividing by the total time t
The vector of change of position: s=P1-P2=(30,30)-(0,0)=(30-0,30-0)→
s=(30,30)
Magnitude of vector s=sqrt[30^2+30^2]=sqrt[30^2*2]=sqrt[30^2]*sqrt(2)
Magnitude of vector s=30*sqrt(2) miles
Magnitude of velocity vector = Magnitud of vector s / t
Magnitude of velocity vector = [30*sqrt(2) miles] / (1.5 hours)
Magnitude of velocity vector = 20*sqrt(2) miles / hour
Magnitude of velocity vector=20*1.4142 miles / hour
Magnitude of velocity vector=28.284 miles/hour
Polar coordinates of your position=(r, theta)
r=Magnitude of vector s=30*sqrt(2) miles
theta=tan^(-1) (y/x) = tan^(-1) [(30 miles) / (30 miles)]
theta=tan^(-1) (1)→theta=45°=Pi/4 (Pi=3.1416)
Polar coordinates of your position: ( 30*sqrt(2) miles, 45°)
Polar coordinate of your position: ( 30*sqrt(2) miles, Pi/4 )
Answers:
Average speed: 40 miles / hour
Velocity: 20*sqrt(2) miles / hour = 28.284 miles / hour
Rectangular coordinates of your position = (30,30)
Polar coordinates of your position=(30*sqrt(2) miles,45°)
Polar coordinates of your position=(30*sqrt(2) miles,Pi/4)</span>
