27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, and 540.....
Answer:
the total charge is
Step-by-step explanation:
Since x is measured from the center, that means that x=0 is the center so the edges of the rod correspond to x=-6 and x=6. that meas that the total charge can be calculated as
separating the integral from -6 to 0 and from 0 to 6, taking into account that |x|=-x for x<0 and |x|=x for x >=0, we get
using the substitution x=-u in the first integral we get
which is the same as the first integral. Thus, the total charge is given by
integrating we get
Answer:
A is correct yes
Step-by-step explanation:
ndnanndnqnjed
Answer:
<u>Area = 34.2 cm²</u>
Step-by-step explanation:
The general formula of the area of the triangle is half the product of two sides multiplied by the sine the angle between them.
So, for the given triangle ABC
AC = 9 cm, AB = 8 cm, CB = 10 cm
Area = 0.5 AC * AB * sin A or 0.5 BC * BA * sin B or = 0.5 CA * CB * sin C
Using the first form, so we need the measure of angle A
Using cosine low: cos A = (b² + c² - a²)/(2bc)
Where: a = BC = 10 , b = AC = 9 and c = AB = 8
So. cos A = (9² + 8² - 10²)/(2 * 9 * 8 ) = 0.3125
∠A = cos⁻¹0.3125 = 71.79°
So, Area = 0.5 AC * AB * sin A = 0.5 * 9 * 8 * sin 71.79° = 34.2 cm²
<u>So, Area = 34.2 cm²</u> to the nearest one decimal place
Answer:
p= 80
Step-by-step explanation:
p+8 = 8 x 11
p+8 = 88
p= 88-8
p= 80