Here, we are required to find the area of the paper board given after the semicircle is cut out of it
Area of the paper board thatremains is 423 in²
Length = 29 in
Width = 20 in
Area of a rectangle = length × width
= 29 in × 20 in
= 580 in²
Area of a semi circle = πr²/2
π = 3.14
r = diameter / 2 = 20 in / 2 = 10 in
Area of a semi circle = πr²/2
= 3.14 × (10 in)² / 2
= 3.14 × 100 in² / 2
= 314 in²/2
= 157 in²
The semicircle is cut out of the rectangle
Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle
Area of the paper board that remains = Area of a rectangle - Area of a semi circle
= 580 in² - 157 in²
= 423 in²
brainly.com/question/16994941
We have:
ba + 3ca = -2
Extract common factor "a":
a(b + 3c) = -2
Divide by the term (b + 3c):

The answer is 443 m^2
I explained it in the picture.
Hope it helps!
Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines


Writing the equations in the slope-intercept form

where m is the slope and b is the y-intercept


Thus, the slope = m₁ = -2/3
also

Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.
Answer:
-6
Step-by-step explanation:
Let the number be 'x'
Sum of a number and one = x + 1
Sum of a number and one is doubled = 2*(x +1) = 2*x + 2*1 = 2x + 2
Four less than the number = x - 4
2x + 2 = x - 4
Subtract 'x' from both sides
2x - x + 2 = x - x - 4
x + 2 = -4
No, subtract 2 form both sides
x + 2 -2 = - 4 - 2
x = -6