Answer:
b) 27,000
Step-by-step explanation:
3 × 10 × 10 × 10 × 9 = 27000
'3' because the first digit can only be 3,6, or 9
'9' because the last digit cannot be zero, leaving only 9 options
Answer: 24 is the LCD
He is correct.
4 20/24 or 4 5/6 simplified
Answer:
Step-by-step explanation:
Drop an angle bisector from angle C until it intersects AB. Because of the symmetry of the triangles created, you will form two small right angle congruent triangles. Call the point of intersection with AB = D. In other words the bisector of <C is CD.
CB = AC Isosceles triangle
CD / CB = Sin(38.5)
CD=?
CB = 35
CD / 35 = Sin(38.5) Multiply both sides by 35
CD = 35 * sin(38.5)
CD = 21.79
BD/CB = Cos(38.5)
BD = CB* Cos(38.5)
BD = 35 * Cos (38.5)
BD = 27.39
Area = CD * BA/2
BA/2 = DB
Area = CD * BD
Area = 21.79 * 27.39
Area = 596.9
Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line
----------------------------------------------------------------------------------------------
Find the slope
----------------------------------------------------------------------------------------------
2y - x = 4
----------------------------------------------------------------------------------------------
Rewrite into the form y = mx + c
----------------------------------------------------------------------------------------------
2y = x + 4
y = 1/2 x + 2
Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)
----------------------------------------------------------------------------------------------
Insert slope into the equation
----------------------------------------------------------------------------------------------
y = mx + c
y = -2x + c
----------------------------------------------------------------------------------------------
Find y-intercept
----------------------------------------------------------------------------------------------
y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4
----------------------------------------------------------------------------------------------
Insert y-intercept into the equation y = -2x + c
----------------------------------------------------------------------------------------------
y = -2x + 4
----------------------------------------------------------------------------------------------
Answer: y = -2x + 4
----------------------------------------------------------------------------------------------
