Answer:
32, 64, 128
Step-by-step explanation:
Let us start by looking at the geometric progression. A geometric progression multiplies each number by a <u>constant</u>, which we can name <u>r</u>, to get the next term. Let us find this constant:
16÷8=2
8÷4=2
Both expressions confirm that our r, the constant, is indeed 2.
To find the next few terms, we simply multiply by r:
1. 16r=16×2=32
2. 32r=32×2= 64
3. 64r= 64×2 = 128
<em>I hope this helps! Please let me know if you have any further questions :)</em>
See the picture to better understand the problem
we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°
therefore
the answer Part a) is <span>
the measure of the angle formed by two consecutive radii is 30 degrees
Part b)
we know that
OAC is an isosceles triangle
so
OA=OC
m</span>∠OAC=m∠OCA
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°
the answer part b) is <span>
the measure of the angle formed by a radius and a side is 75</span>
°
Y = m x + b , where m is the slope. The slope is the rise over the run or the change in x ( rooms cleaned ) over the change in y ( cost ).
125 = m * 1 + b
175 = m * 2 + b
-----------------------
b = 125 - m
175 = 2 m + 125 - m
m = 175 - 125
m = 50 ( the rate of change ), b = 75
The formula is: y = 50 x + 75
It means that the starting cost will be $75 and that for every room cleaned, the cost will rise for $50.
Answer:
7:24 or
Step-by-step explanation:
a ratio is usually defined as a fraction ( the first to the next)
The difference (or error) is 240 - 200 = 40
So what percent of 240 is 40?
x% of 240 is 40
x% × 240 = 40
240x = 40
x = 40/240
x = .1666
multiply by 100 to convert to a percentage.
.1666 × 100 = 16.66%
Rounded to the nearest 10th
= 16.7%