Answer: 30ft
Step-by-step explanation:
Oyebolatoba Beginner
Let d = # digital cameras
Let m = # manual cameras
d + m = 240 equation 1
(d-82) = 3(m-26) equation 2
d - 82 = 3m - 78
d - 3m = 82 - 78
d - 3m = 16 equation 2 simplified
We have two equations with 2 unknowns:
d + m = 240
d - 3m = 16 subtract equation 1 from equation 2
---------------
-4m = -224
m = -224/-4
m = 56
d + m = 240
d = 240-m
d = 240-56
d = 184
He started with 184 digital cameras and 56 manual cameras
Answer:
The answer is 3
Step-by-step explanation:
since all of the output numbers can be reached by adding 3
The point which does not lie on the circle centered at (3,2) with radius 5 is given below.
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, 2) and r = 5,
hence
(x - 3)² + (y - 2)² = 25 ← equation of circle
If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.
1
(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle
2
(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle
3
(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle
4
(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle
Answer:
Sin theta = 12/13
Step-by-step explanation:
From the question;
Cot theta = 5/12
Kindly recall;
Cot theta = 1/ tan theta
Hence, tan theta = 12/5
Mathematically
tan theta= opposite/adjacent
to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides
let hypotenuse be h
h^2 = 12^2 + 5^2
h^2 = 144 + 25
h^2 = 169
h = √169
h = 13
But sine theta = opposite/ hypotenuse = 12/13
