The fraction Is already in its simplest form :)
They do not have any common factors
Hello!
To find the value of b, we need to use the Law of Sines. The law states,
sin A / a = sin B / b = sin C / c.
We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.
Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.
180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.
sin (55) / 8 = sin (43) / b (multiply both sides by b)
0.10239... · b = 0.68199... (divide both sides by 0.10239...)
c = 6.6607...
The measure of side b is equal to about 6.7 centimeters.
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer:
y = 2
Step-by-step explanation:
Addition Method:
4x - 2y = 6
2x + y = 7
-2(2x + y) = -2(7)
4x - 2y = 6
-4x - 2y = -14
-4y = -8
y = 2
Substitution Method:
4x - 2y = 6
2x + y = 7
-2y = 6 - 4x
2y = 4x - 6
y = 2x - 3
2x + (2x - 3) = 7
4x - 3 = 7
4x = 10
x = 2.5
2(2.5) + y = 7
5 + y = 7
y = 2
Brainliest, please :)
Answer:
okay
Step-by-step explanation:
911 911 911
shgwiwgwiqc2iwcw8wfwiw
