Step-by-step explanation:
Coordinates of Point R = (0, y).
We have PR = QR.
=> (-2 - 0)² + (6 - y)² = (9 - 0)² + (3 - y)².
=> 4 + (6 - y)² = 81 + (3 - y)²
=> y² - 12y + 40 = y² - 6y + 90
=> 6y + 50 = 0
=> y = -25/3.
Hence the answer is (0, -25/3).
Coordinates of Point S = (x, 0).
We have PS = QS.
=> (-2 - x)² + (6 - 0)² = (9 - x)² + (3 - 0)²
=> (-2 - x)² + 36 = (9 - x)² + 9
=> x² + 4x + 40 = x² - 18x + 90
=> 22x = 50
=> x = 25/11.
Hence the answer is (25/11, 0).
Answer:
∠B =
Step-by-step explanation:
Given : a=7 b=10 and C is a right triangle
solution :
refer the attached figure .
Since ΔACB is right angled triangle so we will use trigonometric ratios .
Perpendicular = b =10
Base=a=7
Putting value in formula:
Thus ∠B =
Answer
111
Step-by-step explanation:
900-789=111
By the external angle theorem
5x = (5x - 30) + m < RST
m < RST = 5x - 5x + 30 = 30
also m < STR = m < SRT = 5x - 30
So as there are 180 degrees in a triangle:-
5x - 30 + 5x - 30 + 30 = 180
10x = 180 +30+30-30 = 210
x = 21 answer
Answer:
The ball holds 113.0 cubic inches of air
Step-by-step explanation:
Firstly we need to know the shape of the ball
A ball is spherical in shape
So to know the number of cubic inches, we have to find the volume of air in the ball
Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere
The formula for the volume of a sphere is ;
V = 4/3 * pi * r^3
in this case, r = d/2 = 6 /2 = 3 inches
where r is the radius of the ball and d is the diameter of the ball
So, substituting these values , we have
V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches
