Answer:
c 4.1 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
The sector is only 78 degrees
Take the fraction of a circle and multiply by the circumference to find the length x
x = C* 78/360
= 2 * pi *r * 78/360
= 2 * pi *3 * 78/360
Using 3.14 for pi
= 4.082
Rounding to the nearest tenth
x = 4.1 inches
Answer:the first term is 6
Step-by-step explanation:
We would apply the formula for determining the sum of n terms of an arithmetic sequence. It is expressed as
Sn = n/2(a + l)
Where
n represents the number of terms in the arithmetic sequence.
l represents the last term in the arithmetic sequence.
a represents the first term in the arithmetic sequence.
From the information given,
l = 204
n = 12
Sn = 1260
We want to determine a. Therefore,
1260 = 12/2(a + 204)
1260 = 6(a + 204)
a + 204 = 1260/6 = 210
a = 210 - 204 = 6
Answer:
$16.60
Step-by-step explanation:
2.5x + 1.25(x - .20) = 31.25
2.5x + 1.25x - .25 = 31.25
3.75x - .25 = 31.25
3.75x = 31.25 + .25
3.75x/3.75 = 31.50/3.75
x = 8.40
y = x - .20
y = 8.20
1x + 1y = 16.60
Answer:
negative association
Step-by-step explanation:
This diagram is a scatter plot which represents a set of data. Data on a scatter plot can fit one of three descriptions: positive (increasing), negative (decreasing) or no association (points do not form any kind of line). Given this data and the line of best fit, or the line that pass through the majority of the points, it is a decreasing line. Since the line goes downhill, it is a negative association.
