Answer:
12/13
Step-by-step explanation:
By definition, for a right triangle with an internal angle X
sin X = length of opposite side / length of hypotenuse
in this case,
for angle F, the opposite side = GH and the hypotenuse is HF
hence
sin F = GH / HF = 12/13
Answer:
Or if you want with the value of h too.
Step-by-step explanation:
Find the value of h and k by using the formula.
From y = x²-2
Substitute these values in the formula.
Therefore, h = 0.
Therefore, k = - 2.
From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation.
These type of equation where b = 0 can also be both standard and vertex form.
Answer: length = 62 yards and width = 3 yards
Step-by-step explanation:
Answer:
(3, - 5 )
Step-by-step explanation:
Under a clockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ), hence
Z(5, - 3 ) → Z'(3, - 5 )
Answer:1/2 y
Step-by-step explanation:
We can solve this using ration reasoning:
x
2
x
1
=
y
2
y
1
Explanation:
If
x
varies directly with
y
(written
x
∝
y
), then doubling
y
means doubling
x
, so the rations of final values and initial values will be the same:
x
2
x
1
=
y
2
y
1
In this case,
x
2
9
=
24
18
x
2
=
9
⋅
24
18
=
12
Or, intuitively, if
x
∝
y
and
x
=
9
when
y
=
18
, we can conclude that
x
=
1
2
y
and
1
2
of 24 is 12.
