Answer:
Thus, the expression to find the measure of θ in radians is θ = π÷3
Step-by-step explanation:
Given that the radius of the circle is 3 units.
The arc length is π.
The central angle is θ.
We need to determine the expression to find the measure of θ in radians.
Expression to find the measure of θ in radians:
The expression can be determined using the formula,
where S is the arc length, r is the radius and θ is the central angle in radians.
Substituting S = π and r = 3, we get;
Dividing both sides of the equation by 3, we get;
<u>Answer:</u>
The line equation that passes through the given points is 7x – y = 13
<u>Explanation:</u>
Given:
Two points are A(2, 1) and B(3, 8).
To find:
The line equation that passes through the given two points.
Solution:
We know that, general equation of a line passing through two points (x1, y1), (x2, y2) in point slope form is given by
..........(1)
here, in our problem x1 = 3, y1 = 8, x2 = 2 and y2 = 1.
Now substitute the values in (1)
y – 8 = 7(x – 3)
y – 8 = 7x – 21
7x – y = 21 – 8
7x – y = 13
Hence, the line equation that passes through the given points is 7x – y = 13
Answer:
2/3, 5/7, 3/4, 5/6.
Step-by-step explanation:
Convert each one to a decimal fraction:
3/4 = 0.75
2/3 = 0.666..
5/6 = 0.8333..
5/7 = 0.714
So least to greatest is
2/3, 5/7, 3/4, 5/6.
Answer:
x=21
Step-by-step explanation:
since the triangle is isosceles, the two lower angles are equal.
2(2x+3)=90
4x+6=90
4x=84
x=21
Answer:
x = r(t + s) (second option)
Step-by-step explanation:
First add s to both sides and get x/r = t + s.
Then mutiply both sides by r to separate x and this is the final equation:
x = r(t + s)
