Answer:
A. 
Step-by-step explanation:
The given parabola has vertex at (2,-5).
The equation of this parabola in vertex form is given by:
, where (h,k)=(2,-5) is the vertex of the parabola.
We substitute the values to get:

The graph passes through; (0,3).




Hence the equation of the parabola is

We expand this to get:


Since the outward region was shaded, the corresponding inequality is

The correct answer is A
Answer:
69.01 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...
tan(50°) = (h -1.65)/d
Rearranging to solve for d, we have ...
d = (h -1.65)/tan(50°)
The distance across the plaza from the second surveyor satisfies the relation ...
tan(30°) = (101.65 -h)/d
Rearranging this, we have ...
d = (101.65 -h)/tan(30°)
Equating these expressions for d, we can solve for h.
(h -1.65)/tan(50°) = (101.65 -h)/tan(30°)
h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)
We can divide by the coefficient of h and simplify to get ...
h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))
h ≈ 69.0148 ≈ 69.01 . . . . meters
The tip of the spire is 69.01 m above the plaza.
The question is a little confusing, but a fraction that is equal to 2 using 3 as a denominator is 6/3. Any addition to the numerator will make the number larger than 2; so 7/3, 10/3, 20/3 are all greater than 2.
Put the numbers in order
2,3,3,3,4,6,7,9.....the range is the largest number minus the smallest number
so as it is, the range is (9 - 2) = 7
if u replaced the 7 with a 6...
2,3,3,3,4,6,6,9...the range is STILL (9 - 2) = 7
Answer:
130
Step-by-step explanation:
Percentage of 77% of what = 100.1?
77% × ? = 100.1
? =
100.1 ÷ 77% =
100.1 ÷ (77 ÷ 100) =
(100 × 100.1) ÷ 77 =
10,010 ÷ 77 =
130