Answer:
a) <em>Arc length (l) = 36 inches</em>
b)
The nearest angle in degrees θ = 103.18°
Step-by-step explanation:
<u><em>Step(i):</em></u>-
An arc has a central angle of 1.8 radians and a radius of 20 inches.
Given arc has a central angle of 1.8 radians and
radius of circle = 20 inches
Given arc has a central angle (θ ) = 1.8 radians
<em> Arc length (l) = r θ </em>
<em> l = 20 × 1.8 radians</em>
<em> l = 36</em>
The length of arc = 36 inches
b)
<em>we will convert radians to degree</em>
<em> 1.8 × 180° / π = 324° / π ≅ 103.18°</em>
The nearest angle in degrees θ = 103.18°
Answer:

Step-by-step explanation:
We first need to know the square root of I then add 10 on that square root since r is 10 more than the square root of I
Therefore,

Answer:

Step-by-step explanation:
The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.
You know the general term is ...
... an = a1·r^(n-1)
so the 4th term is
... -18 = a1·2^(4-1) = 8·a1
Then the first term is ...
... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.
10:21
There are 10 males and males plus females equal 21
Answer:
See the graph of the given inequality in the attachment as shown below:
Step-by-step explanation:
Given the inequality: 
To graph this inequality on the number line.
Remember:
- If the symbol is
then you fill in the dot
- If the symbol is
then you do not fill in the dot.
Since, in the given inequality the symbol is '>'
Now, sketch a number line and draw an open circle around the number 2.8.
You can see the number line as shown below in the attachment.