Answer/Step-by-step explanation:
First, find the slope (m) of Line L using the points (0, 5) and (2, 1):
Slope (m) = -2
✔️Since the line is parallel bro Line L, it would also have the same slope value of -2.
We can use the slope (m) and a point (a, b) of the line to find its equation using the point-slope formula, y - b = m(x - a).
Substitute (a, b) = (3, 0), and m = -2 into y - b = m(x + a):
Thus,
✅y - 0 = -2(x + 3)
Rewrite equation in slope-intercept form
y = -2(x + 3)
✅y = -2x - 6
Answer:C
Step-by-step explanation:
Answer: 280 lockers
Step-by-step explanation:
3/5*700= 420 so 420 are being used and 700-420=280 lockers not in use
Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
Answer: From the 60° angle, the flagpole is the opposite side and the shadow is the adjacent side of the triangle.
tangent 60° = opposite/adjacent
so
tan 60° = 20/x
multiply both sides by x and you have
x · tan60° = 20
divide both sides by tan 60° and you have
x = 20/tan60°
x = 11.5 ft.
if this is wrong sorry don’t be mad but if it’s right then hope this helps
