Answer:
745.44 mm² (nearest hundredth)
Step-by-step explanation:
Section the shape into a semicircle, a rectangle and a triangle by drawing a line vertically through the point, and a vertical line upwards from the corner of the 12.5 mm and 32.5 mm corner.
area of semicircle = (1/2)
r² = 78.125
mm²
area of the rectangle = 12.5 x 25 = 312.5 mm²
area of triangle = 1/2 x (55 - 25) x 12.5 = 187.5 mm²
total area = 312.5 + 78.125
+ 187.5 = 745.44 mm² (nearest hundredth)
Answer:
2x - 3y = -1
Step-by-step explanation:
Standard form: Ax + By = C
Given: slope = 2/3 and passes through the point (1,1)
Point slope form: y - y1 = m(x - x1)
Plug in
y - 1 = 2/3(x - 1)
Multiply both sides by 3
3(y - 1) = 2(x -1)
Distributive property
3y - 3 = 2x - 2
Since standard form: Ax + By = C so you can re-write the equation:
2x - 2 = 3y - 3
Subtract 3y from both sides
2x - 3y = -3
Add 2 to both sides
2x - 3y = -1
Answer in standard form: 2x - 3y = -1
Answer:
<h3>600 times</h3>
Explain Your Answer:
<h3>50ft x 12in = 600 times</h3>
Answer:
Option (3)
Step-by-step explanation:
There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.
Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.
Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.
Since, alternate interior angles are equal in measure,
∠2 ≅ ∠6
∠3 ≅ ∠7
Option (3) will be the answer.
You have to multiply by 1000