Answer:
-8
Step-by-step explanation:
the pattern is times 4
AM I PLAYING 2048??????
Answer:
Step-by-step explanation:
xy = k
where k is the constant of variation.
We can also express the relationship between x and y as:
y =
where k is the constant of variation.
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .
Example 1: If y varies inversely as x, and y = 6 when x = , write an equation describing this inverse variation.
k = (6) = 8
xy = 8 or y =
Example 2: If y varies inversely as x, and the constant of variation is k = , what is y when x = 10?
xy =
10y =
y = × = × =
k is constant. Thus, given any two points (x1, y1) and (x2, y2) which satisfy the inverse variation, x1y1 = k and x2y2 = k. Consequently, x1y1 = x2y2 for any two points that satisfy the inverse variation.
Example 3: If y varies inversely as x, and y = 10 when x = 6, then what is y when x = 15?
x1y1 = x2y2
6(10) = 15y
60 = 15y
y = 4
Thus, when x = 6, y = 4.
2nd answer choice
constant of variation is xy. XY=23. If X=7 then Y=23/7.
Six now have a good day happy face bye-bye
This is a tricky question to answer without diagrams and there are useful videos online. A regular triangular prism has an equilateral triangle as its base with edge length 7cm, forming a prism with a total height of 11cm. We wish to calculate the area of the 3 equal triangular faces.
The formula for area of a triangle is 0.5 x base x height. We have the base (7cm) but the problem is we do not have the height (or slant length) of the lateral faces, we only have the height of the entire prism. We must first calculate the slant length by building a triangle inside the prism which goes from the centroid of the base (the inradius) to the centre of an edge. As the base is an equilateral triangle finding the inradius is much more difficult than for a square pyramid.
inradius = 1/6 x (SQRT of 3) x length
inradius = 1/6 x (SQRT of 3) x 7cm = 2cm
We now have a right angle triangle with base = inradius, height = height of prism, and hypotenuse = slant length we need.
Use pythag to calculate hypotenuse a^2 + b^2 = c^2
2^2 + 11^2 = c^2
4 + 121 = c^2
c= SQRT(125) = 11.18cm
We now have the missing slant length or height of the lateral triangles of the prism. We can find the area of one face and multiply it by 3 to get the total surface area of the lateral faces of the pyramid.
base = 7cm
height = 11.18cm
area of triangle = 0.5 x 7 x 11.18 = 39.13cm^2
Multiply this area by 3 to get the sum of all 3 lateral triangle surface areas, total area = 117.39cm^2
Answer:
Option D
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Asako deposits $1000 into a bank that pays 1.5% interest compounded annually. Which inequality can she use to determine the minimum time in years 't' she needs to wait before the value of the account is 20% more than its original value?
A. 1000 . 1.01t > 1200
B. 1000 . 1.01t > 1.2
C. 
D. 
Formula to get the final amount by compounding is,
Final amount = 
Here, r = rate of interest
n = number of compounding in a year
t = Time or duration of investments (In years)
Initial amount = $1000
Final amount = 20% more than its original value = $(1000 + 0.2×1000) = $1200
r = 1.5% = 0.015
Inequality that represents the final amount 20% more than the initial value,
> 1200
> 1.2
Therefore, Option D will be the correct option.
