Answer:
The the angle which the wire make with the ground is 1.280 radian .
Step-by-step explanation:
Given as :
The length of the wire attached to the top of building = OB = 70 foot
The distance of wire anchored from base of ground = OA = 20 feet
Let the angle made by wire en and ground = Ф
Now from , In Triangle AOB
Cos angle = 
Or, Cos Ф = 
or, Cos Ф = 
Or, Cos Ф = 
∴ Ф = 
I.e Ф = 73.39°
Now in radian ,
∵ 180° =
radian
∴ 73.39° =
× 73.39°
=
× 73.39° = 1.280 radian
Hence The the angle which the wire make with the ground is 1.280 radian . Answer
Answer:
č= 67°
Step-by-step explanation:
x + 78+35=180
x + 113=180
x= 180-113
x= 67 degrees
Y=12/x
12/2=6
12/4=3
12/8=1.5 or 3/2
12/12=1
Answer is b
Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is
. It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

It is given that QU=4 and scale factor = 2.5.

Multiply both sides by 4.


We know that



The distance between U' and U is 6 units.
Therefore, the correct option is C.
Answer:
22.35 m/s
Step-by-step explanation:
The distance is always a positive unit, so distance traveled (d) = 15 miles
Time (t) = 0.3 hours
Time (t) = 0.3 * 60 = 18 minutes
(1 hour = 60 minutes)
Velocity (v) = ?
The formula of distance is: d = v*t
=> v = d/t = 15/18 = 0.83 miles/minute
we can also calculate velocity is meter/sec, for that
1 minute = 60 sec
=> 18 mins = 18*60 = 1080 sec
1 mile = 1609.34 meters
=> 15 miles = 15 * 1609.34 = 24,140 m
hence,
v = 24,140/1080 = 22.35 m/s