Answer:
The distance of the point from the origin = 9.29 units.
Step-by-step explanation:
Given point:
(7,-6)
The angle lies such that the terminal side of the angle contains the given point.
To draw the angle and find the distance from the origin to the given point.
Solution:
The terminal side of the angle is where the angle ends with the initial side being the positive side of the x-axis.
So, we can plot the point (7,-6) by moving 7 units on the x-axis horizontally and -6 units on the y-axis vertically.
We can find the distance of the point from the origin by find the hypotenuse of the triangle formed.
Applying Pythagorean theorem.
Taking square root both sides :
Thus, the distance of the point from the origin = 9.29 units.
The figure is shown below.
Answer:
468
Step-by-step explanation:
=13[42-6]
=13 (36)
=13×36
=468
The answer is 45.4545454545
Ropes are 9.63 meters ans 8.178 meters.
<u>Step-by-step explanation:</u>
Step 1 :
List all the given things
Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters
Angle between two ropes = 86 degrees
Angle of elevation of one rope = 42 degrees
Step 2 :
Two angles of triangle are already given so third angle can be calculated as -
Third angle = 180 - ( 86 + 42 ) = 52 degrees
Step 3 :
As we know all three angles we will apply sine rule now, which is
Step 4 :
By putting values, we have
Step 5 : Calculating a and b
, 
Step 6 :
By putting values of all sine and calculating we get,
a = 9.63 meters and b = 8.178 meters
Answer:
There are 531.5625 students which is 531 students in the school
Step-by-step explanation:
We add the ratio numbers ( 7 + 9 = 16)
We then divide that number by 135 ( 135 / 16 = 8.4375)
After we multiply by each ratio number, ( 7 and 9).
And we end up with 531.5625, also 531 students.
--------------------------------------------------------------------------------
Hay 531.5625 estudiantes, que son 531 estudiantes en la escuela.
Explicación paso a paso:
Sumamos los números de razón (7 + 9 = 16)
Luego dividimos ese número por 135 (135/16 = 8.4375)
Después, multiplicamos por cada número de razón (7 y 9).
Y terminamos con 531.5625, también 531 estudiantes.
