Using proportions, it is found that the value of a is of 3.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, a 180º angle has a measure of
radians. What is the measure of a 540º angle? The <em>rule of three</em> is given by:
180º -
rad.
540º - x
rad.
Applying cross multiplication:
180x = 540.
x = 540/180 = 3.
The value of a is of 3.
More can be learned about proportions at brainly.com/question/24372153
Answer:
The arc length of a circle is 3.14 m or 1π m
Step-by-step explanation:
First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to 90°
To solve this exercise we need to use the circumference formula of a circle:
c = circumference
r = radius = 2m
π = 3.14
c = 2π * r
we replace the known values
c = 2 * 3.14 * 2m
c = 12.56m
As we know a circle is represented with 360 ° and they tell us that the angle is 90 °, so we have to know the relationship with respect to the total
90° / 360° = 1/4
Now we multiply this number by the circumference and we will obtain the length of the arc
12.56m * 1/4 = 3.14
The arc length of a circle is 3.14 m or 1π m
Remember that the angles of a triangle is 180 so:
(7x+8) + (5x+2) + (7x-1) = 180
7x+8+5x+2+7x-1=180
7x+5x+7x=180-8-2+1
19x=171
X= 171/19
X=9
Therefore x=9
D^2 + 17d + 72 = 0
( d + 8 ) ( d + 9 ) = 0
d = - 8 , d = - 9
Answer:
20%decrease
Step-by-step explanation:
sorry I'm bad at explaining things