Answer:
The approximate length of arc s is 14.1 inches
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
Find the circumference of the circle
The formula to calculate the circumference is equal to

we have

substitute

step 2
Find the approximate length of arc s
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find the arc length s for a central angle of 135 degrees

The point r(-6,-5) lies on the circle.
Explanation
Given that the center of the circle=(-2,-2)
diameter=10 units
we have to determine which point among the given points lies on the circle.
radius=diameter/2=10/2=5 units
let (x,y) be a point on the circle
The distance between the center and (x,y) is equal to the radius of the circle
The distance between them=
squaring both sides 
The option (-6,-5) satisfies the equation
therefore the point that lies on the circle is (-6,-5)
Answer: (D) none of the these.
Step-by-step explanation:
- A multimodal distribution refers to a distribution with two or more modes.
If the shape of our data set is multimodal, the it will show two or more peaks which represents the number modes in the data.
Since it has no relation with mean or median of the data, there for the correct option will be "none of these".
Given:
Original price = 20
reduces selling price by 25% every month it's not sold.
First markdown month:
20 * (100%-25%) = 20 * 75% = 15
Second markdown month
15 * 75% = 11.25
Macy, employee gets a 50% discount off the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or 5.63
The pre-tax price of the shirt for Macy will be $5.63
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale
total is 1+2+5=8 units
so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit
soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon
soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon