Altitude, like elevation, is the distance above sea level. Areas are often considered "high-altitude" if they reach at least 2,400 meters (8,000 feet) into the atmosphere. ... This is called indicated altitude, and is measured by an instrument called an altimeter. As altitude rises, air pressure drops.
Answer:
Since all angles of a triangle are equal (60°), it's an equilateral triangle hence all sides are equal.
hence x = 16 units
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
a) The scale factor from Quadrilateral A to Quadrilateral B = smallest side length of side B / smallest side length of side A = 2 / 6 = 1/3
Scale factor = 1/4= 1 / 3
The side length of 6 in A corresponds to a side length of 2 in B
Side length of B that corresponds with side length of 9 in A = scale factor * 9 = 1/3 * 9 = 3
The side length of 9 in A corresponds to a side length of 3 in B
Side length of B that corresponds with side length of 12 in A = scale factor * 9 = 1/3 * 12 = 4
The side length of 12 in A corresponds to a side length of 4 in B.
c) perimeter of Quadrilateral B = sum of side lengths of quadrilateral B = 2 + 3 + 3 + 4 = 12 units
Answer:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
<h2>
Step-by-step explanation: PHEW THAT TOOK A WHILE LOL IM A FAST TYPER</h2>
Answer:
Excluding the shipping fee -
23 - 4 = 19
For each book-
19/5
= $3.8
