Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:

where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

Using
, we find that a line perpendicular to the line shown should have a slope of

The Consumer Price Index is calculated through the equation,
CPI = (current period price/base period price) x 100
The base period is 1983. Solving the CPIs for 2000 and 2005
(2000)
CPI = ($28.94/$16.35) x 100 = 177
(2005)
CPI = ($32.54/$16.35) x 100 = 199
The difference between the CPIs of 2005 and 2000 is 199 - 177 = 22.
Let the number of green apples and red apples be 8x and 3x respectively.
Given: 8x-3x =35
=> 5x =35 => x=7
Hence there are 8x=56 green apples and 3x=21 red apples.Ans.
Answer:

Step-by-step explanation:
Circumference = C = 31.4 ft
We know that,
<h3>C = 2πr</h3>
Where, r is the radius
31.4 = 2(3.14)r
31.4 = 6.28(r)
Divide 6.28 to both sides
31.4/6.28 = r
5 ft. = r
<h3>r = 5 ft.</h3>
Now,
<h3><u>Finding area:</u></h3>
A = πr²
A = (3.14)(5)²
A = (3.14)(25)
<h3>
A = 78.5 ft²</h3>
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Answer:
175$
Step-by-step explanation: