OK, let's try with no figure. We have an isosceles triangle sides s,s, and b.
Opposite b is angle t.
Draw the altitude h to bisect t. We have two right triangles, legs b/2 and h, hypotenuse s. The angle opposite b/2 is t/2 so
sin(t/2) = (b/2)/s = b/2s
So we arrived at the first part,
b = 2s sin(t/2)
The area of a triangle with sides s,s and included angle t is
A = (1/2) s² sin t
Answer:
x = -96/23
Step-by-step explanation
-
= 4
multiply each side of equation by 24 to eliminate denominators
(24)
-
= 4 (24)
3(3x) - 8(4x) = 96
9x - 32x = 96
-23x = 96
x = -96/23
The answer is 8, because 64÷8= 8!simple
Using the equations for tangent and secant lines:
Let the unknown length of the line inside the circle = y
6^2 = 3 x (y+3)
Simplify:
36 = 3y+9
Subtract 9 from both sides:
27 =3y
Divide both sides by 3:
Y = 9
Now add to get x:
X = 9 + 3 = 12
X = 12
Answer: The mean of the data set is 25.
Step-by-step explanation:
To calculate the mean of a data set, first add up all the values.
17 + 34 + 19 + 27 + 30 + 23 = 150
Then divide the sum by the amount of values in the data set. Our sum here is 150 and the amount of data values is 6.
150 ÷ 6 = 25