The length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
<h3>How to determine the parameters</h3>
To determine the angles and length of sides, we use the sine rule
The sine rule is thus:
Given;
Let's find angle C
cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C = 
C = 79°
To find length of b
substitute the values
b = 2. 59 cm
b = 3cm
To find angle B, we have
cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7065
B = 45°
Hence, the length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
Learn more about sine rule here:
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Answer:
≈ 3.14
Step-by-step explanation:
π, or pi, is an irrational number. We mathmaticians round it to 3.14.
Hi there!
To derive an equation given the points, we can use the slope formula:
Plug in the corresponding coordinates:
Simplify:
Therefore, we have:
y = -4x + b
Plug in the x and y values for a coordinate to solve for b:
2 = -4(1) + b
2 = -4 + b
b = 6
The equation is:
y = -4x + 6. The correct answer is D.
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
The mean to your problem is 87.5
