For this case we have that by definition, the circumference of a circle is given by:

Where:
d: Is the diameter of the circumference
According to the data we have to:

Substituting:

Rounding out we have that the diameter is: 80
Answer:
Option B
Answer:
c) third quadrant
Step-by-step explanation:
Answer:
A. 160 Out of 40 is 400%./// B. The answer is 25/// C. The answer is 3905%
Step-by-step explanation:
( A ) One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 160 is 40% of = <u>160 X 100 </u> = 400
40
( B ) The same thing as A but the numbers are switched
One step solution:
You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.
So, 40 is 160% of = <u>40 × 100</u> = 25
160
( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:
1602 - 40 = 1562
Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:
<u>1562 </u> = 39.05
40
We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?
39.05 x 100 = 3905%
The coordinates of point P would be (2.6, 1.6).
The ratio of the sides being 3:7 means that the segment JP would be 3/10 of the total and PK would be 7/10 of the segment.
The slope of JK is given by finding the rise/run; in this case that is 4/2=2. Since JP is 3/10 of the segment, we add 3/10 of the rise to the x-coordinate and 3/10 of the run to the y-coordinate:
(3/10(2)+2, 3/10(2)+1)
=(6/10+2, 6/10+1)
=(2.6, 1.6)
Answer:
y =
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 1 ← is in slope- intercept form
with slope m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, thus
y =
x + c ← is the partial equation of the perpendicular line
To find c substitute (6, 3) into the partial equation
3 = 2 + c ⇒ c = 3 - 2 = 1
y =
x + 1 ← equation of perpendicular line