Answer:
length of an arc = 1unit
Step-by-step explanation:
given that the circumference of a circle = 6
central angle = 60
length of the arc =?
recall that the circumference of a circle = 2πr
6 = 2πr
r = 6/2π
now to calculate the length of an arc
recall,
length of an arc = 2πr(Ф/360)
length of an arc = 2π(6/2π) × 60/360
length of an arc = 6 × 60/360
length of an arc = 360/360
length of an arc = 1unit
therefore the length of the arc whose circumference is 6 and arc angle is 60° is evaluated to be 1unit
Answer:
y = 3x/2 + 23 1/2
Or
y = 3x/2 + 47/2
Step-by-step explanation:
Find the slope
y = 3/2x - 3/2
Equation of a line
y = mx + c
m = 3/2
using a point slope form equation
Substitute the point into the equation
( -9 , 10)
y - y1 = m( x - x1)
x1 = -9
y1 = 10
y - 10 = 3/2( x - (-9)
y - 10 = 3/2( x + 9)
Open the bracket
y - 10 = (3x + 27)/2
y = ( 3x + 27)/2 + 10
LCM = 2
y = ( 3x + 27 + 20)/2
y = ( 3x + 47)/2
Separate to get the value of slope and intercept
y = 3x/2 + 47/2
y = 3x/2 + 23 1/2
The equation of the line is
y = 3x/2 + 23 1/2
Answer:
x^8/3y^2
Step-by-step explanation:
The equation 7x + 3x - 18 = 6(x+3) is 9
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
given:
7x + 3x - 18 = 6(x+3)
7x + 3x - 18 = 6x+18 [Distributive Property]
10x-18= 6x+18 [Addition Property of Equality]
10x-6x= 18+18 [Combine Like Terms ]
4x=36 [Subtraction Property of Equality]
4*x=36 [Multiplication Property of Equality]
x=36/4 [Division Property of Equality]
x=9
Learn more about equation here:
brainly.com/question/10413253
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The answer is 70 to 80 students.